Bessel beam-based luminaire lens calculation method and device, and related medium

Abstract

The application discloses a lamp lens calculation method and device based on a Bessel beam and related media, the method comprises the following steps: acquiring an incident light angle range and equally dividing the incident light angle range into several ring band intervals, calculating the exit light angle of each interval, obtaining an initial free surface through an iterative method, and re-calculating a target free surface after smoothing the exit light angle by applying a Gaussian scope parameter. The application combines the equal-illumination distribution characteristics and the ring band luminous flux characteristics of a Lambertian light source to calculate the exit light angle corresponding to each incident light ring band interval, on the basis of which, the exit light angle is smoothed by applying a Gaussian scope parameter, and then the target free surface is calculated again through the iterative method according to the adjusted exit light angle, thereby effectively avoiding the problem of local curvature mutation of the free surface, ensuring the uniformity of the spot brightness distribution while realizing large-angle irradiation coverage, and improving the effective luminous flux and light quality of the lamp.

Description

Technical Field

[0001] This invention relates to the field of lighting fixture technology, and in particular to a method, apparatus, and related medium for calculating lighting fixture lenses based on Bessel beams. Background Technology

[0002] In existing luminaire lens designs, the lens exit surface typically employs a freeform surface design. The coordinates of each point on the exit surface are calculated point-by-point using an iterative method to control the direction of light emission. However, existing freeform surface calculation methods, after determining the exit light angle corresponding to each incident light ring zone, directly calculate the surface coordinates point-by-point based on that exit light angle. This lacks a smoothing adjustment mechanism for the exit light angle distribution, leading to local curvature abrupt changes in the calculated freeform surface. Consequently, the actual light emitted by the luminaire exhibits uneven brightness distribution, making it difficult to achieve wide-angle illumination coverage while ensuring uniformity of the light spot and effective luminous flux. Summary of the Invention

[0003] This invention provides a method, apparatus, and related medium for calculating lamp lenses based on Bessel beams, aiming to solve the technical problem that the existing freeform surface calculation methods lack a smoothing adjustment mechanism for the outgoing light angle, resulting in uneven distribution of light spot brightness.

[0004] In a first aspect, embodiments of the present invention provide a method for calculating lamp lenses based on Bessel beams, including: Obtain the angular range of light incident on the lamp lens, and divide the angular range into several equal parts to obtain several incident light ring zone intervals; Based on the preset iso-illuminance distribution characteristics and the preset ring luminous flux characteristics of the Lambertian light source, the ring luminous flux corresponding to each incident light ring zone is calculated sequentially, and the outgoing light angle corresponding to each incident light ring zone is calculated based on the ring luminous flux. Based on the emitted light angle, the coordinates of each point on the emission surface of the lamp lens are calculated point by point using a preset iterative method to obtain the initial freeform surface; A preset Gaussian domain parameter is applied to each of the emitted light angles to smooth it out, resulting in an adjusted emitted light angle. The target freeform surface is then recalculated using the iterative method based on the adjusted emitted light angle.

[0005] Secondly, embodiments of the present invention provide a lamp lens calculation device based on a Bessel beam, comprising: The range calculation unit is used to obtain the angular range of light incident on the lamp lens, and divide the angular range into several equal parts to obtain several incident light ring zone intervals; An angle calculation unit is used to calculate the annular luminous flux corresponding to each incident light annular zone based on the preset iso-illuminance distribution characteristics and the preset annular luminous flux characteristics of the Lambertian light source, and to calculate the outgoing light angle corresponding to each incident light annular zone based on the annular luminous flux. The surface calculation unit is used to calculate the coordinates of each point on the exit surface of the lamp lens according to the exit light angle using a preset iterative method, so as to obtain an initial freeform surface; The result correction unit is used to apply a preset Gaussian domain parameter to each of the emitted light angles to smooth it out, thereby obtaining the adjusted emitted light angle, and then recalculate the target freeform surface using the iterative method based on the adjusted emitted light angle.

[0006] Thirdly, embodiments of the present invention provide a computer device, including a memory, a processor, and a computer program stored in the memory and executable on the processor, wherein the processor executes the computer program to implement the lamp lens calculation method based on Bessel beams of the first aspect.

[0007] Fourthly, embodiments of the present invention provide a computer-readable storage medium, wherein a computer program is stored on the computer-readable storage medium, and when the computer program is executed by a processor, it implements the lamp lens calculation method based on Bessel beams of the first aspect.

[0008] This invention provides a method for calculating a luminaire lens based on a Bessel beam, comprising: obtaining the angular range of light incident on the luminaire lens; dividing the angular range into several equal parts to obtain several incident light ring zones; calculating the ring luminous flux corresponding to each of the incident light ring zones sequentially based on preset iso-illuminance distribution characteristics and preset ring luminous flux characteristics of a Lambertian light source; calculating the exit light angle corresponding to each of the incident light ring zones based on the ring luminous flux; calculating the coordinates of each point on the exit surface of the luminaire lens point by point using a preset iterative method according to the exit light angle to obtain an initial freeform surface; applying a preset Gaussian action domain parameter to each of the exit light angles for smoothing to obtain an adjusted exit light angle; and recalculating the target freeform surface using the iterative method based on the adjusted exit light angle. This invention divides the angular range of incident light into several incident light ring zones, and calculates the outgoing light angle corresponding to each incident light ring zone by combining the iso-illuminance distribution characteristics and the ring luminous flux characteristics of the Lambertian light source. Based on this, a Gaussian action domain parameter is applied to the outgoing light angle for smoothing. Then, the target freeform surface is recalculated using an iterative method based on the adjusted outgoing light angle. This effectively avoids the problem of sudden changes in local curvature of the freeform surface, enabling the luminaire to achieve large-angle illumination coverage while ensuring the uniformity of the light spot brightness distribution, thereby improving the effective luminous flux and light quality of the luminaire.

[0009] This invention also provides a lamp lens computing device, computer equipment, and storage medium based on Bessel beams, which have the same beneficial effects as described above. Attached Figure Description

[0010] To more clearly illustrate the technical solutions of the embodiments of the present invention, the drawings used in the following description of the embodiments will be briefly introduced. Obviously, the drawings described below are some embodiments of the present invention. For those skilled in the art, other drawings can be obtained based on these drawings without creative effort.

[0011] Figure 1 A flowchart illustrating a method for calculating a luminaire lens based on a Bessel beam, provided in an embodiment of the present invention; Figure 2 This is an iso-illuminance light angle distribution diagram provided in an embodiment of the present invention; Figure 3 The light distribution diagram after introducing variables is provided in the embodiments of the present invention; Figure 4 This is a schematic block diagram of a lamp lens calculation device based on a Bessel beam, provided for an embodiment of the present invention.

[0012] Explanation of reference numerals in the attached figures: 400. Calculation device for luminaire lenses based on Bessel beams; 401. Range calculation unit; 402. Angle calculation unit; 403. Surface calculation unit; 404. Result correction unit. Detailed Implementation

[0013] The technical solutions of the embodiments of the present invention will be clearly and completely described below with reference to the accompanying drawings. Obviously, the described embodiments are only some, not all, of the embodiments of the present invention. Based on the embodiments of the present invention, all other embodiments obtained by those skilled in the art without creative effort are within the scope of protection of the present invention.

[0014] It should be understood that, when used in this specification and the appended claims, the terms "comprising" and "including" indicate the presence of the described features, integrals, steps, operations, elements and / or components, but do not exclude the presence or addition of one or more other features, integrals, steps, operations, elements, components and / or collections thereof.

[0015] It should also be understood that the terminology used in this specification is for the purpose of describing particular embodiments only and is not intended to limit the invention. As used in this specification and the appended claims, the singular forms “a,” “an,” and “the” are intended to include the plural forms unless the context clearly indicates otherwise.

[0016] It should also be further understood that the term "and / or" as used in this specification and the appended claims refers to any combination of one or more of the associated listed items and all possible combinations, and includes such combinations.

[0017] Please see below. Figure 1 , Figure 1 The flowchart of a lamp lens calculation method based on Bessel beams provided in an embodiment of the present invention is shown, specifically including steps S101 to S104.

[0018] S101. Obtain the angular range of the light incident on the lamp lens, and divide the angular range into several equal parts to obtain several incident light ring zone intervals; S102. Based on the preset iso-illuminance distribution characteristics and the preset ring luminous flux characteristics of the Lambertian light source, the ring luminous flux corresponding to each incident light ring zone is calculated sequentially, and the outgoing light angle corresponding to each incident light ring zone is calculated based on the ring luminous flux. S103. Based on the emitted light angle, calculate the coordinates of each point on the emission surface of the lamp lens using a preset iterative method to obtain the initial freeform surface; S104. Apply a preset Gaussian domain parameter to each of the emitted light angles to smooth it out, and obtain the adjusted emitted light angle. Then, recalculate the target freeform surface using the iterative method based on the adjusted emitted light angle.

[0019] In step S101, the angle range of light incident on the luminaire lens is determined based on the optical dimensional parameters of the luminaire lens. The optical dimensional parameters of the luminaire lens include the light-emitting aperture, the light-receiving aperture at the bottom hole, the bottom hole depth, the flange thickness, and the light source coverage depth. The angle range of light incident on the luminaire lens can be calculated based on these dimensional parameters and the law of refraction. After obtaining the angle range, it is divided into several incident light ring zones according to a preset number of equal divisions, resulting in several incident light ring zone intervals corresponding to the number of divisions. Each incident light ring zone interval corresponds to an incident angle and a cumulative luminous flux percentage. For example, the incident light from a bare light source from 0 degrees to 90 degrees is divided into 500 equal parts, thereby obtaining 500 incident light ring zone intervals. Each ring zone interval corresponds to its own incident angle and ring zone luminous flux distribution data.

[0020] In step S102, based on the iso-illuminance distribution characteristics and the annular luminous flux characteristics of the Lambertian light source, the annular luminous flux corresponding to each incident light annular zone is calculated sequentially. The luminous flux calculation rule corresponding to the iso-illuminance distribution characteristics is that the luminous flux equals the product of the average illuminance and the corresponding coverage area. The annular luminous flux of the Lambertian light source under the condition of total luminous flux normalization is equal to the difference between the square of the sine of the outer annular angle and the square of the sine of the adjacent inner annular angle. After calculating the annular luminous flux corresponding to each incident light annular zone, the annular luminous flux corresponding to each incident light annular zone is mapped to the corresponding annular coverage area based on the iso-illuminance condition. Since the illuminance values ​​of each annular zone are equal under the iso-illuminance distribution, the corresponding annular coverage area can be calculated sequentially based on the annular luminous flux. Then, based on the annular coverage area and the preset target angle, the output light angle corresponding to each incident light annular zone is calculated sequentially.

[0021] In step S103, after obtaining the outgoing light angles corresponding to each incident light ring zone, the exit surface of the luminaire lens is calculated point by point using a preset iterative method based on each outgoing light angle to obtain the spatial coordinates of each point on the exit surface, thereby fitting an initial freeform surface. This initial freeform surface is the profile of the luminaire lens exit surface directly calculated under the condition of equal illuminance distribution. After calculating the outgoing light angles corresponding to each incident light ring zone in step S102, the exit surface of the luminaire lens needs to be calculated point by point using a preset iterative method based on each outgoing light angle to determine the spatial coordinates of each point on the exit surface, thereby fitting an initial freeform surface. Since the luminaire lens is a rotationally symmetric structure, the freeform surface of the exit surface can be determined by calculating the coordinates of each point on its generatrix. That is, the coordinates of each discrete point on the generatrix are calculated sequentially within the cross section containing the optical axis, and then the generatrix is ​​rotated around the optical axis to obtain a complete three-dimensional exit surface.

[0022] Specifically, the starting calculation point on the exit surface is first determined based on the optical dimensions of the luminaire lens. This starting calculation point is usually located at the edge of the exit surface of the luminaire lens or near the optical axis, and its coordinates can be directly determined based on the geometric dimensions of the luminaire lens, such as the exit aperture, the bottom aperture, and the flange thickness. After determining the starting calculation point, the direction vector of the first incident ray is determined based on the relative position of the light source and the starting calculation point. The direction vector of the first outgoing ray is then determined by combining this with the outgoing light angle corresponding to the incident light ring zone. Based on the law of refraction, the direction vectors of the incident and outgoing rays satisfy a refractive relationship with the normal vector of the exit surface at that point. Therefore, the normal vector of the exit surface at that point can be calculated by inversely using the direction vectors of the incident and outgoing rays.

[0023] After obtaining the normal vector at the starting calculation point, the calculation proceeds to the next calculation point along the tangent direction of this normal vector with a preset step size. This tangent direction is perpendicular to the normal vector. The next calculation point corresponds to the next incident light ring zone. The incident ray direction vector is determined by the positional relationship between the light source and the calculation point, while the outgoing ray direction vector is determined by the corresponding outgoing light angle calculated in step S102. Similarly, the normal vector of the exiting surface at this calculation point is calculated using the law of refraction, and the calculation continues along the new tangent direction to the next calculation point. This process is repeated point by point until all outgoing light angles corresponding to all incident light ring zones are traversed, thus obtaining the coordinate sequence of all discrete points on the generatrix of the exiting surface.

[0024] During the point-by-point iterative calculation, each iteration uses the coordinates and normal vector information of the previous calculation point to determine the initial position of the current calculation point. This position is then corrected using the directional relationship between the incident and outgoing rays to ensure that the refraction relationship at each calculation point strictly satisfies the requirements of the law of refraction. Connecting the coordinates of all discrete points obtained from the point-by-point calculation using curve fitting yields the generatrix profile of the exit surface. Rotating this generatrix around the optical axis of the luminaire lens yields the initial freeform surface. This initial freeform surface is the optical profile of the luminaire lens's exit surface under conditions of equal illuminance distribution and without smoothing.

[0025] In step S104, the initial freeform surface is calculated directly under the condition of equal illuminance distribution. Its emitted light angle distribution may have local abrupt changes, resulting in an insufficiently smooth light distribution curve. To further optimize the initial freeform surface, a preset Gaussian domain parameter is applied to each emitted light angle calculated in step S102 for smoothing. The smoothing properties of the Gaussian function are used to locally adjust the emitted light angle distribution, resulting in the adjusted emitted light angle. After smoothing, the coordinates of each point on the luminaire lens's emission surface are recalculated point-by-point using the iterative method employed in step S103 based on the adjusted emitted light angle, ultimately obtaining the target freeform surface. Through the above smoothing process, the distribution shape of the light distribution curve can be effectively adjusted, maintaining a smooth light spot transition while achieving directional adjustment of the light intensity distribution.

[0026] In one embodiment, calculating the outgoing light angle corresponding to each incident light annular zone based on the annular luminous flux includes: Based on the aforementioned iso-illuminance distribution characteristics, the luminous flux of each incident light ring zone interval is mapped to the corresponding ring zone coverage area according to the iso-illuminance conditions. The outgoing light angle corresponding to each incident light ring zone is calculated sequentially based on the ring zone coverage area and the preset target angle.

[0027] In this embodiment, the iso-illuminance distribution characteristic means that the illuminance value remains consistent throughout the illumination area formed by the luminaire lens, i.e., the luminous flux on the illuminated surface is spatially uniformly distributed. Under this characteristic, the luminous flux Φ, illuminance E, and coverage area S satisfy the following relationship: Φ = E × S, where Φ represents the circumferential luminous flux corresponding to a certain incident light ring zone, E represents the average illuminance on the illuminated surface, and S represents the ring zone coverage area corresponding to the circumferential luminous flux on the illuminated surface (i.e., the area actually illuminated by the luminous flux of the ring zone). This formula is a general calculation rule between luminous flux and illuminance, expressing the proportional relationship between luminous flux and coverage area under a given illuminance condition.

[0028] Meanwhile, under the condition of normalizing the total luminous flux of the Lambertian source, the calculation of the annular luminous flux satisfies the following rule: Φ=sin 2 θ1-sin 2 θ2, where θ1 represents the outer ring angle of the ring zone, and θ2 represents the adjacent inner ring angle. Using this formula, the ring luminous flux value corresponding to each incident light ring zone can be calculated sequentially based on the inner and outer ring angles corresponding to each incident light ring zone obtained in step S101.

[0029] After calculating the zonal luminous flux corresponding to each incident light annular zone, based on the iso-illuminance distribution characteristics, since the illuminance value E is equal at all points on the illuminated surface, it can be known from the formula Φ=E×S that the annular coverage area S corresponding to each incident light annular zone is proportional to its annular luminous flux Φ, i.e., S=Φ / E. Therefore, the annular luminous flux corresponding to each incident light annular zone can be mapped to the corresponding annular coverage area according to the iso-illuminance condition. Specifically, since the value of E remains consistent across all annular zones, the size of the annular coverage area corresponding to each annular zone is entirely determined by the annular luminous flux of that zone; the larger the annular luminous flux, the larger the corresponding annular coverage area, and vice versa.

[0030] After obtaining the coverage area of ​​each incident light ring zone, the emitted light angle corresponding to each incident light ring zone is calculated sequentially based on the ring zone coverage area and the preset target angle. The preset target angle is the total emitted light angle desired by the luminaire lens design. In this embodiment, the preset target angle is 90 degrees, meaning the target full beam angle of the luminaire lens is 90 degrees, and the corresponding half-angle is 45 degrees. Based on the spatial cumulative relationship of the coverage areas of each ring zone on the illuminated surface, starting from the outermost incident light ring zone, the projection position of the emitted light on the illuminated surface corresponding to each incident light ring zone is calculated sequentially, and then the emitted light angle corresponding to that incident light ring zone is calculated.

[0031] Taking the incident light angle range as an example of dividing it into 500 equal parts, the output light angles corresponding to the first ten incident light annular zones are as follows: -45 degrees, -44.99980323 degrees, -44.99921292 degrees, -44.99822908 degrees, -44.99685160 degrees, -44.99508076 degrees, -44.99291628 degrees, -44.99035826 degrees, -44.98740668 degrees, and -44.98406154 degrees. It can be seen that because the luminous flux of the outermost annular zone is relatively small, the mapped annular zone coverage area is also correspondingly small, thus the difference in output light angle between adjacent annular zones is also small. As the annular zone moves towards the optical axis, the luminous flux gradually increases, and the difference in output light angle between adjacent annular zones also increases accordingly. The aforementioned gradual distribution pattern of the emitted light angle is a specific manifestation of the iso-illuminance distribution characteristics at the emitted light angle level.

[0032] Through the above calculation process, the luminous flux of each incident light ring zone can be mapped to the ring zone coverage area one by one based on the iso-illuminance distribution characteristics. Then, combined with the preset target angle, the exit light angle corresponding to each incident light ring zone can be solved in sequence, providing exit light angle data for subsequent point-by-point calculation of the freeform surface of the lamp lens exit surface by iterative method.

[0033] In one embodiment, the preset Gaussian scope parameters include the Gaussian half-width value and the scope scaling factor, and the smoothing process specifically includes: The effective range of the Gaussian scope parameter is calculated based on the Gaussian half-width value and the effective scaling factor. After dividing the emitted light angle into equal parts within the effective range, Gaussian coefficients are generated corresponding to each division position.

[0034] In this embodiment, the preset Gaussian scope parameters include the Gaussian half-width and the scope scaling factor. The core of the Gaussian scope parameters lies in introducing a Gaussian curve with a mean of 0 and an amplitude of 1 as the mathematical basis for smoothing. The calculation method of this Gaussian curve can be expressed by the following function: FunctionGaussCurve_y(ByVal c As Double, ByVal x As Double) As Double, where parameter c is the shape control parameter of the Gaussian curve, and parameter x is the position of the independent variable on the Gaussian curve. The specific calculation process of this function is as follows: First, calculate the intermediate variable m, m=x^2 / c^2×(-1) / 2, that is, m is equal to the square of x divided by the square of c and then multiplied by negative half; then calculate the output value y of the Gaussian curve, y=Exp(m), that is, y is equal to the natural constant e raised to the power of m; finally, y is used as the return value of the function GaussCurve_y=y. The essence of this function is a simplified form of the standard Gaussian function. When x equals 0, y reaches its maximum value of 1. As x deviates from the center, the value of y gradually approaches 0, thus forming a bell-shaped curve distribution with the center as the peak and symmetrically decreasing towards both sides.

[0035] Based on the Gaussian curve described above, it is necessary to determine the effective range of the Gaussian scope parameter. The Gaussian half-width (Half Width) refers to the full width of the Gaussian curve at half its peak value, used to control the width of the Gaussian curve. In this embodiment, the assumed value of the Gaussian half-width is 20. Therefore, the shape control parameter c of the Gaussian curve can be calculated as C = 20 / 2.355 × 2, where 2.355 is the conversion factor between the full width at half maximum (FWHM) and the standard deviation. Simultaneously, an action ratio coefficient M is introduced as a controllable adjustment variable to regulate the actual effective ratio of the Gaussian scope parameter. In this embodiment, the given value of the action ratio coefficient M is 0.2. Based on the Gaussian half-width and the action ratio coefficient M, the effective range of the Gaussian scope parameter can be calculated as: Effective range = Gaussian half-width × 3 × M = 20 × 3 × 0.2 = 12. The meaning of the effective range is the range of the Gaussian curve that actually produces a smoothing effect on the output light angle distribution. The larger the effective range, the wider the range of output light angles affected by the smoothing treatment; the smaller the effective range, the narrower the range affected.

[0036] After determining the effective range, the emitted light angle is divided into equal parts within this range, and a Gaussian coefficient corresponding to each division point is generated. Specifically, the interval within the effective range is divided into 500 equal parts, and each division point corresponds to an independent variable x value. This x value is then substituted into the Gaussian curve function mentioned above to calculate the corresponding Gaussian coefficient y value. Taking the first ten groups of equally divided positions and their corresponding Gaussian coefficients as an example: The first group of equally divided positions has an x-value of 0 and a corresponding Gaussian coefficient of 1; the second group has an x-value of 0.024048096 and a corresponding Gaussian coefficient of 0.999998998; the third group has an x-value of 0.048096192 and a corresponding Gaussian coefficient of 0.999995991; the fourth group has an x-value of 0.072144289 and a corresponding Gaussian coefficient of 0.999990979; the fifth group has an x-value of 0.096192385 and a corresponding Gaussian coefficient of 0.999983963. The x-value for the sixth division position is 0.120240481, with a corresponding Gaussian coefficient of 0.999974943; the x-value for the seventh division position is 0.144288577, with a corresponding Gaussian coefficient of 0.999963918; the x-value for the eighth division position is 0.168336673, with a corresponding Gaussian coefficient of 0.999950889; the x-value for the ninth division position is 0.192384770, with a corresponding Gaussian coefficient of 0.999935856; and the x-value for the tenth division position is 0.216432866, with a corresponding Gaussian coefficient of 0.999918818. It can be seen that the Gaussian coefficient is closest to 1 at the center position. As the division position gradually deviates from the center, the Gaussian coefficient decreases slowly but maintains a smooth transition without any abrupt jumps. This distribution characteristic is the mathematical basis for the smoothing of Gaussian curves. By applying the above Gaussian coefficients to each outgoing light angle, the outgoing light angle can be locally smoothed while maintaining the overall distribution trend.

[0037] Combination Figure 2 and Figure 3 In one embodiment, the step of applying a preset Gaussian domain parameter to smooth each emitted light angle to obtain the adjusted emitted light angle includes: Generate Gaussian coefficients corresponding to each of the outgoing light angles based on the Gaussian domain parameters; The emitted light angle is multiplied by or divided by the Gaussian coefficient to perform a smooth amplification or smooth reduction process on the emitted light angle, thereby obtaining the adjusted emitted light angle.

[0038] In this embodiment, the determination of the effective range of the Gaussian action domain parameter and the generation of the Gaussian coefficients have been explained in the previous embodiments. After determining the effective range and dividing it equally within the effective range, Gaussian coefficients corresponding to each emitted light angle can be generated. The value of each Gaussian coefficient ranges from 0 to 1, with the Gaussian coefficient closest to 1 at the center position. As the position shifts to both sides, the Gaussian coefficient gradually decreases. Based on these Gaussian coefficients, multiplication or division operations can be performed on the emitted light angles calculated in step S102 to achieve smoothing adjustments in different directions.

[0039] Specifically, when it's necessary to smooth and amplify the emitted light angle, the emitted light angle is multiplied by the corresponding Gaussian coefficient. Since the Gaussian coefficient is closest to 1 at the center and gradually decreases towards the sides, multiplying by the Gaussian coefficient results in a smaller change in the emitted light angle in the central region, while the emitted light angles in the lateral regions are correspondingly reduced. This makes the emitted light more concentrated in the central region, achieving a relative enhancement of the central part of the luminous intensity curve. Conversely, when it's necessary to smooth and reduce the emitted light angle, the emitted light angle is divided by the corresponding Gaussian coefficient. Since dividing by a value less than 1 increases the result, the emitted light angles in the lateral regions are correspondingly expanded, resulting in a wider distribution range of the emitted light. Regardless of whether multiplication or division is used, because the Gaussian coefficient itself has a smooth and continuous distribution characteristic, the adjusted emitted light angle obtained after the calculation also maintains a smooth transition (see reference). Figure 2 and Figure 3 There will be no sudden jumps.

[0040] In practical applications, if it is necessary to modify the light distribution curve to make the center light of the luminaire brighter, the light distribution at the outgoing light angle needs to be smoothed and amplified by multiplying it by the corresponding Gaussian coefficient. Taking an effective scaling factor M=0.2 as an example, the adjusted outgoing light angle is obtained by multiplying each outgoing light angle by the corresponding Gaussian coefficient, and then the target freeform surface is recalculated using an iterative method based on the adjusted outgoing light angle.

[0041] In one embodiment, obtaining the angular range of light incident on the luminaire lens includes: The optical dimensions of the luminaire lens are determined based on the light-emitting aperture, light-incident aperture, bottom hole depth, flange thickness, and light source coverage depth of the luminaire lens. The angle range is obtained by calculating based on the optical dimensions and the preset law of refraction.

[0042] In this embodiment, the optical dimensions of the luminaire lens refer to a set of geometric dimensional parameters directly related to the lens's optical performance, specifically including the light-emitting aperture, the bottom hole entrance aperture, the bottom hole depth, the flange thickness, and the light source coverage depth. The light-emitting aperture refers to the maximum effective diameter of the luminaire lens's emitting surface, determining the maximum spatial range from which light can be emitted. The bottom hole entrance aperture refers to the opening diameter of the inner hole at the bottom of the luminaire lens used to accommodate the light source, determining the initial spatial range of light emitted from the light source entering the inner hole of the lens. The bottom hole depth refers to the maximum depth of the inner hole at the bottom of the luminaire lens along the optical axis, which, together with the bottom hole entrance aperture, determines the geometric shape of the inner hole of the lens. The flange thickness refers to the thickness of the flange portion at the edge of the luminaire lens along the optical axis, affecting the spatial relationship between the edge point of the lens's emitting surface and the incident surface. The light source coverage depth refers to the depth to which the light source is covered relative to the bottom surface of the luminaire lens, i.e., the distance from which the center point of the light-emitting surface of the light source is embedded in the bottom hole of the lens along the optical axis, determining the relative position between the light source and the various surfaces of the lens. The above five geometric dimensional parameters together constitute the complete optical dimensions of the luminaire lens, providing the necessary geometric constraints for subsequent calculations of the light incident angle range.

[0043] To facilitate calculation and quantitative verification, the luminaire lens in this embodiment is quantitatively assigned values. The luminaire lens has a light-emitting aperture of Φ11mm, a light-receiving aperture of Φ10mm, a bottom hole depth of 2mm, a flange thickness of 1.2mm, a light source coverage depth of 0.6mm, and the lens material is PC (Polycarbonate). Based on these specific dimensional values, the complete optical dimensions of the luminaire lens can be determined, including the spatial coordinates of each boundary point of the lens exit surface, the geometric contour of the inner surface of the bottom hole, and the spatial position of the center point of the light-emitting surface of the light source.

[0044] After determining the optical dimensions of the lamp lens, the angular range of light rays incident on the lamp lens is calculated based on the optical dimensions and the preset Snell's Law. Snell's Law describes the quantitative relationship between the angle of incidence and the angle of refraction when light is refracted at the interface between two media with different refractive indices. Its basic expression is n1×sinα1=n2×sinα2, where n1 is the refractive index of the incident medium, α1 is the angle of incidence (i.e., the angle between the incident ray and the normal to the interface), n2 is the refractive index of the exiting medium, and α2 is the angle of refraction (i.e., the angle between the refracted ray and the normal to the interface). In this embodiment, the lamp lens is made of PC, whose refractive index is a known material optical constant. Light rays entering the lens from air and exiting the lens back into air must satisfy the constraints of Snell's Law.

[0045] Specifically, the light source is located at a known position inside the bottom aperture of the luminaire lens, and the light emitted from it is incident on various surfaces of the lens at different angles. Based on the geometrical relationship between the center point of the light-emitting surface of the light source and various points on the inner surface of the lens bottom aperture, the angle of incidence when the light enters the lens medium through the inner aperture surface can be determined. Then, using the law of refraction, the propagation direction of the light within the lens medium can be calculated. Similarly, based on the geometrical relationship between the propagation path of the light within the lens medium and various points on the lens exit surface, the angle of incidence when the light reaches the exit surface can be determined. Again, applying the law of refraction, the exit direction of the light from the lens into the air can be calculated. By performing the above refraction calculations on all possible directions of light emitted from the light source, the maximum and minimum angles corresponding to the light rays that can effectively enter the luminaire lens and exit from the exit surface can be determined, thus obtaining the angular range of light rays incident on the luminaire lens. This angular range defines the range of light rays that the luminaire lens can effectively collect and control, providing a computational basis for subsequently dividing the angular range equally to obtain several incident light ring zones.

[0046] In one embodiment, dividing the angular range into several equal parts to obtain several incident light ring zone intervals includes: The angle range is divided into several incident light ring zones according to a preset number of equal divisions to obtain several incident light ring zone intervals corresponding to the number of equal divisions; wherein each incident light ring zone interval corresponds to an incident angle and a cumulative luminous flux percentage.

[0047] In this embodiment, the angular range of light incident on the lamp lens has been calculated based on the optical dimensions and refraction law of the lamp lens in the previous embodiment. After obtaining this angular range, it needs to be divided into equal intervals according to a preset number of equal divisions to discretize the continuous angular range into several incident light ring intervals, thereby providing a basis for subsequent interval-by-interval calculation of ring luminous flux and outgoing light angle. The preset number of equal divisions refers to how many equally spaced angular intervals the angular range is divided into. The larger the number of equal divisions, the smaller the angular span corresponding to each incident light ring interval, and the higher the calculation accuracy. In this embodiment, the incident light from the bare light source from 0 degrees to 90 degrees is divided into 500 equal intervals according to the preset number of equal divisions, that is, the 90-degree angular range is evenly divided into 500 equally spaced incident light ring intervals, and the angular span corresponding to each incident light ring interval is 90 / 500 = 0.18 degrees. Arranged sequentially from 90 degrees to 0 degrees, the first incident light ring zone corresponds to the outermost angle range (i.e., the position closest to 90 degrees), and the last incident light ring zone corresponds to the innermost angle range (i.e., the position closest to 0 degrees, close to the optical axis).

[0048] After equal division, each incident light ring zone corresponds to an incident angle and a cumulative luminous flux percentage. The incident angle refers to the angle at which light rays are incident on the light at the angular position of that incident light ring zone. The cumulative luminous flux percentage refers to the proportion of the sum of the luminous flux of all ring zones from the outermost incident light ring zone to the current incident light ring zone to the total luminous flux of the Lambertian source. The initial value of the cumulative luminous flux percentage is 1, indicating that before the luminous flux is allocated segment by segment, all luminous flux has not yet been allocated. As the process progresses from the outermost incident light ring zone towards the optical axis, the luminous flux of each incident light ring zone is allocated sequentially, and the cumulative luminous flux percentage gradually decreases. Simultaneously, each incident light ring zone also corresponds to a ring luminous flux distribution value, representing the specific value of the luminous flux emitted by the Lambertian source within that zone.

[0049] Taking the 500-equal division in this embodiment as an example, the data for the first ten incident light ring zones are as follows: the incident angle of the first incident light ring zone is 0 degrees (corresponding to the starting boundary at the 90-degree position), and the cumulative luminous flux ratio is 1; the incident angle of the second incident light ring zone is 0.180360721 degrees, the ring luminous flux distribution value is 9.90917E-06, and the cumulative luminous flux ratio is 0.999990091; the incident angle of the third incident light ring zone is 0.360721443 degrees, The annular luminous flux distribution value is 2.97271E-05, and the cumulative luminous flux share is 0.999960364. The incident angle of the fourth incident light annular zone is 0.541082164 degrees, the annular luminous flux distribution value is 4.95439E-05, and the cumulative luminous flux share is 0.99991082. The incident angle of the fifth incident light annular zone is 0.721442886 degrees, the annular luminous flux distribution value is 6.93587E-05, and the cumulative luminous flux share is 0.999841. 461; The incident angle of the sixth incident light ring zone is 0.901803607 degrees, the ring zone luminous flux distribution value is 8.91707E-05, and the cumulative luminous flux percentage is 0.99975229; The incident angle of the seventh incident light ring zone is 1.082164329 degrees, the ring zone luminous flux distribution value is 0.000108979, and the cumulative luminous flux percentage is 0.999643311; The incident angle of the eighth incident light ring zone is 1.26252505 degrees, and the ring zone luminous flux... The distribution value is 0.000128783, and the cumulative luminous flux share is 0.999514528; the incident angle of the ninth incident light ring zone is 1.442885772 degrees, the ring luminous flux distribution value is 0.000148583, and the cumulative luminous flux share is 0.999365945; the incident angle of the tenth incident light ring zone is 1.623246493 degrees, the ring luminous flux distribution value is 0.000168376, and the cumulative luminous flux share is 0.999197569.

[0050] The data above shows that in the outermost incident light ring zone, due to the weak radiation intensity of the Lambertian light source at large angles, the luminous flux distribution value corresponding to each ring zone is small, and the difference in the cumulative luminous flux ratio between adjacent zones is also small. As the incident light ring zone gradually advances from the outermost point towards the optical axis, the incident angle gradually increases, and the radiation intensity of the Lambertian light source in this direction gradually increases. Therefore, the luminous flux distribution value corresponding to each ring zone also gradually increases, and the rate of decrease in the cumulative luminous flux ratio also accelerates accordingly. This distribution pattern is consistent with the ring luminous flux characteristics of the Lambertian light source, that is, the radiation of the light source is strongest in front (optical axis direction) and weakest in the side (large angle direction). Through the above equal division process, the continuous angular range is discretized into 500 incident light ring zone zones, and the incident angle, ring luminous flux distribution value, and cumulative luminous flux ratio corresponding to each zone are clearly defined, providing complete input data for subsequent calculation of the output light angle corresponding to each zone based on the iso-illuminance distribution characteristics.

[0051] In one embodiment, the inner surface of the lamp lens is a Bézier surface, and the calculation method for the lamp lens further includes: The shape parameters of the Bezier surface are calculated and determined based on the aperture diameter and depth of the bottom hole of the lamp lens.

[0052] In this embodiment, the inner surface of the luminaire lens is a Bessel surface. The calculation method for the luminaire lens also includes calculating and determining the shape parameters of the Bessel surface based on the light-receiving aperture and depth of the bottom hole of the luminaire lens. Specifically, the inner hole of the luminaire lens refers to the hollow cavity structure located at the bottom of the lens, used to accommodate the light source. The light emitted by the light source enters the lens medium through the inner surface of this inner hole and then exits through the lens's exit surface. The surface shape of the inner hole directly affects the refraction direction and light path distribution when light enters the lens; therefore, the design of the inner surface has a significant impact on the overall optical performance of the luminaire lens. In this embodiment, the inner surface of the luminaire lens adopts a Bessel surface, that is, the inner surface contour of the inner hole is formed by rotating a Bessel curve around the optical axis. A Bessel curve is a parametric curve defined by control points. Its shape can be flexibly controlled by adjusting the position of the control points, and a smooth and continuous curve contour can be generated while satisfying the endpoint constraints. Compared to traditional regular geometric shapes such as cylindrical or conical surfaces, Bezier surfaces offer more flexible structural shape adjustment capabilities, allowing the geometry of the lens's inner hole to be adjusted according to different optical design requirements, thus making the overall structure of the lamp lens more flexible.

[0053] The shape parameters of a Bézier surface refer to a set of parameters that determine the specific shape of a Bézier curve, including the position coordinates of control points and the degree and direction of curve curvature determined thereby. In this embodiment, the shape parameters of the Bézier surface are calculated and determined based on the aperture and depth of the bottom hole of the lamp lens. Specifically, the aperture determines the radial dimension of the inner hole surface at the opening end, i.e., the endpoint position of the Bézier curve at the opening end; the depth determines the extension length of the inner hole surface along the optical axis, i.e., the endpoint position of the Bézier curve in the depth direction. Based on these two geometric dimensional parameters, the aperture and depth, the coordinates of the starting and ending endpoints of the Bézier curve can be determined, and then, under the aforementioned endpoint constraints, the positions of each control point of the Bézier curve can be calculated, thereby determining the complete shape parameters of the Bézier surface.

[0054] After determining the shape parameters of the Bézier surface, the complete surface profile of the inner hole of the luminaire lens can be generated. Because Bézier curves have endpoint interpolation properties—meaning the curve must pass through both ends—the generated inner hole surface can precisely match the incident aperture and depth of the luminaire lens's bottom hole, ensuring that the geometric dimensions of the inner hole surface meet the lens's structural design requirements. Simultaneously, due to the smooth and continuous nature of Bézier curves, the generated inner hole surface lacks sharp corners or edges, allowing light to achieve a smooth refraction transition when entering the lens medium, thus reducing stray light generation. Furthermore, using a Bézier surface as the inner hole surface, combined with the aforementioned method of inversely designing the exit light angle based on iso-illuminance distribution characteristics and the data processing method of smoothing through Gaussian action domain parameters, these three elements work synergistically to ensure that the luminaire lens's optical design possesses excellent optical characteristics at both the incident and exit ends of the inner hole, resulting in higher optical correction efficiency and a clearer design direction.

[0055] In summary, this application obtains the angular range of light incident on the luminaire lens and divides it into several equal parts to obtain several incident light ring zones. Then, based on the iso-illuminance distribution characteristics and the ring luminous flux characteristics of the Lambertian light source, it sequentially calculates the ring luminous flux and outgoing light angle corresponding to each incident light ring zone. This realizes the design approach of deriving the light path from the target lighting effect. Compared with the traditional forward optical design method, this reverse design method directly uses the iso-illuminance distribution as the starting point for calculation, quantifying the desired lighting uniformity index into the outgoing light angle distribution of each incident light ring zone. This makes the optical design objective clearer, the luminous flux distribution in the calculation process more reasonable, and thus the final luminaire lens has more reasonable optical characteristics.

[0056] This application smooths the emitted light angle by applying a preset Gaussian domain parameter. Utilizing the smooth and continuous mathematical properties of the Gaussian function, it locally adjusts the emitted light angle distribution, effectively avoiding abrupt changes in curvature of the freeform surface. By adjusting the Gaussian half-width and the scaling factor, the range and intensity of the smoothing process can be flexibly controlled, achieving directional adjustment of the light distribution curve while maintaining a smooth overall transition of the light spot. This smoothing data processing method allows for faster optical correction; designers can quickly obtain target freeform surfaces with different light distribution effects by adjusting only a few parameters, eliminating the need for repeated global recalculations and providing a clearer design direction.

[0057] This application also employs a Bézier surface as the inner bore surface of the lamp lens. The shape parameters of the Bézier surface can be determined by the aperture diameter and depth of the bottom hole, allowing the geometry of the lens's inner bore to be flexibly adjusted according to different product specifications and optical requirements, without being limited by the shape of traditional regular geometric surfaces, resulting in more flexible structural design. The smooth and continuous characteristics of the Bézier surface also ensure that light receives a smooth refraction transition when passing through the inner bore surface into the lens medium, reducing stray light generation and improving the lens's light energy utilization rate.

[0058] In summary, this application achieves a large-angle illumination coverage while maintaining the uniformity of the light spot brightness distribution through the coordinated use of three technologies: the inner hole design of the Bezier surface, the reverse light path calculation based on the characteristics of equal illuminance distribution, and the smoothing processing of the Gaussian action domain parameters. This improves the effective luminous flux and light quality of the luminaire, meeting the application requirements of large-angle, high-efficiency, and energy-saving lighting in large-space lighting scenarios such as industrial and mining lamps.

[0059] Combination Figure 4 As shown, Figure 4 A schematic block diagram of a lamp lens calculation device based on a Bessel beam is provided for an embodiment of the present invention. The lamp lens calculation device 400 based on a Bessel beam includes: The range calculation unit 401 is used to obtain the angular range of light incident on the lamp lens, and divide the angular range into several equal parts to obtain several incident light ring zone intervals; Angle calculation unit 402 is used to calculate the annular luminous flux corresponding to each incident light annular zone based on the preset iso-illuminance distribution characteristics and the preset annular luminous flux characteristics of the Lambertian light source, and to calculate the outgoing light angle corresponding to each incident light annular zone based on the annular luminous flux. The surface calculation unit 403 is used to calculate the coordinates of each point on the exit surface of the lamp lens according to the exit light angle using a preset iterative method to obtain an initial freeform surface; The result correction unit 404 is used to apply a preset Gaussian domain parameter to each of the emitted light angles to smooth it out, thereby obtaining the adjusted emitted light angle, and to recalculate the target freeform surface using the iterative method based on the adjusted emitted light angle.

[0060] In this embodiment, the range calculation unit 401 obtains the angular range of the light incident on the lamp lens and divides the angular range into several equal parts to obtain several incident light ring zone intervals; the angle calculation unit 402 calculates the ring luminous flux corresponding to each incident light ring zone interval in sequence based on the preset iso-illuminance distribution characteristics and the preset ring luminous flux characteristics of the Lambertian light source, and calculates the exit light angle corresponding to each incident light ring zone interval based on the ring luminous flux; the surface calculation unit 403 calculates the coordinates of each point on the exit surface of the lamp lens point by point according to the exit light angle using a preset iterative method to obtain an initial freeform surface; the result correction unit 404 applies a preset Gaussian action domain parameter to each exit light angle for smoothing processing to obtain an adjusted exit light angle, and recalculates the target freeform surface according to the adjusted exit light angle using the iterative method.

[0061] In one embodiment, the angle calculation unit 402 is specifically used for: Based on the aforementioned iso-illuminance distribution characteristics, the luminous flux of each incident light ring zone interval is mapped to the corresponding ring zone coverage area according to the iso-illuminance conditions. The outgoing light angle corresponding to each incident light ring zone is calculated sequentially based on the ring zone coverage area and the preset target angle.

[0062] In one embodiment, the preset Gaussian scope parameters include a Gaussian half-width value and an action ratio coefficient, and the result correction unit 404 is specifically used for: The effective range of the Gaussian scope parameter is calculated based on the Gaussian half-width value and the effective scaling factor. After dividing the emitted light angle into equal parts within the effective range, Gaussian coefficients are generated corresponding to each division position.

[0063] In one embodiment, the result correction unit 404 is further specifically used for: Generate Gaussian coefficients corresponding to each of the outgoing light angles based on the Gaussian domain parameters; The emitted light angle is multiplied by or divided by the Gaussian coefficient to perform a smooth amplification or smooth reduction process on the emitted light angle, thereby obtaining the adjusted emitted light angle.

[0064] In one embodiment, the range calculation unit 401 is specifically used for: The optical dimensions of the luminaire lens are determined based on the light-emitting aperture, light-incident aperture, bottom hole depth, flange thickness, and light source coverage depth of the luminaire lens. The angle range is obtained by calculating based on the optical dimensions and the preset law of refraction.

[0065] In one embodiment, the range calculation unit 401 is further specifically used for: The angle range is divided into several incident light ring zones according to a preset number of equal divisions to obtain several incident light ring zone intervals corresponding to the number of equal divisions; wherein each incident light ring zone interval corresponds to an incident angle and a cumulative luminous flux percentage.

[0066] In one embodiment, the inner surface of the lamp lens is a Bézier surface, and the lamp lens calculation device 400 based on Bézier beams is further used for: The shape parameters of the Bezier surface are calculated and determined based on the aperture diameter and depth of the bottom hole of the lamp lens.

[0067] Since the embodiments of the apparatus and the embodiments of the method correspond to each other, please refer to the description of the embodiments of the method for the embodiments of the apparatus, which will not be repeated here.

[0068] This invention also provides a computer-readable storage medium storing a computer program thereon, which, when executed, can perform the steps provided in the above embodiments. The storage medium may include various media capable of storing program code, such as a USB flash drive, a portable hard drive, a read-only memory (ROM), a random access memory (RAM), a magnetic disk, or an optical disk.

[0069] This invention also provides a computer device, which may include a memory and a processor. The memory stores a computer program, and when the processor calls the computer program in the memory, it can implement the steps provided in the above embodiments. Of course, the computer device may also include various network interfaces, a power supply, a graphics card, etc., to utilize the graphics card's performance to operate the model, such as for inference and training.

[0070] The various embodiments in this specification are described in a progressive manner, with each embodiment focusing on its differences from other embodiments. Similar or identical parts between embodiments can be referred to interchangeably. For the systems disclosed in the embodiments, since they correspond to the methods disclosed in the embodiments, the descriptions are relatively simple; relevant parts can be referred to in the method section. It should be noted that those skilled in the art can make various improvements and modifications to this application without departing from the principles of this application, and these improvements and modifications also fall within the protection scope of the claims of this application.

[0071] It should also be noted that, in this specification, relational terms such as "first" and "second" are used only to distinguish one entity or operation from another, and do not necessarily require or imply any such actual relationship or order between these entities or operations. Furthermore, the terms "comprising," "including," or any other variations thereof are intended to cover a non-exclusive inclusion, such that a process, method, article, or apparatus that comprises a list of elements includes not only those elements but also other elements not expressly listed, or elements inherent to such a process, method, article, or apparatus. Without further limitations, an element defined by the phrase "comprising one..." does not exclude the presence of other identical elements in the process, method, article, or apparatus that includes said element.

Claims

1. A method for calculating luminaire lenses based on Bessel beams, characterized in that, include: Obtain the angular range of light incident on the lamp lens, and divide the angular range into several equal parts to obtain several incident light ring zone intervals; Based on the preset iso-illuminance distribution characteristics and the preset ring luminous flux characteristics of the Lambertian light source, the ring luminous flux corresponding to each incident light ring zone is calculated sequentially, and the outgoing light angle corresponding to each incident light ring zone is calculated based on the ring luminous flux. Based on the emitted light angle, the coordinates of each point on the emission surface of the lamp lens are calculated point by point using a preset iterative method to obtain the initial freeform surface; A preset Gaussian domain parameter is applied to each of the emitted light angles to smooth it out, resulting in an adjusted emitted light angle. The target freeform surface is then recalculated using the iterative method based on the adjusted emitted light angle.

2. The method for calculating luminaire lenses based on Bessel beams according to claim 1, characterized in that, The step of calculating the exit light angle corresponding to each incident light annular zone based on the annular luminous flux includes: Based on the aforementioned iso-illuminance distribution characteristics, the luminous flux of each incident light ring zone interval is mapped to the corresponding ring zone coverage area according to the iso-illuminance conditions. The outgoing light angle corresponding to each incident light ring zone is calculated sequentially based on the ring zone coverage area and the preset target angle.

3. The method for calculating luminaire lenses based on Bessel beams according to claim 1, characterized in that, The preset Gaussian scope parameters include the Gaussian half-width value and the scaling factor. The smoothing process specifically includes the following steps: The effective range of the Gaussian scope parameter is calculated based on the Gaussian half-width value and the effective scaling factor. After dividing the emitted light angle into equal parts within the effective range, Gaussian coefficients are generated corresponding to each division position.

4. The method for calculating luminaire lenses based on Bessel beams according to claim 1, characterized in that, The step of applying a preset Gaussian domain parameter to smooth each emitted light angle to obtain the adjusted emitted light angle includes: Generate Gaussian coefficients corresponding to each of the outgoing light angles based on the Gaussian domain parameters; The emitted light angle is multiplied by or divided by the Gaussian coefficient to perform a smooth amplification or smooth reduction process on the emitted light angle, thereby obtaining the adjusted emitted light angle.

5. The method for calculating luminaire lenses based on Bessel beams according to claim 1, characterized in that, The acquisition of the angular range of light incident on the luminaire lens includes: The optical dimensions of the luminaire lens are determined based on the light-emitting aperture, light-incident aperture, bottom hole depth, flange thickness, and light source coverage depth of the luminaire lens. The angle range is obtained by calculating based on the optical dimensions and the preset law of refraction.

6. The method for calculating luminaire lenses based on Bessel beams according to claim 1, characterized in that, The step of dividing the angle range into several equal parts to obtain several incident light ring zone intervals includes: The angle range is divided into several incident light ring zones according to a preset number of equal divisions to obtain several incident light ring zone intervals corresponding to the number of equal divisions; wherein each incident light ring zone interval corresponds to an incident angle and a cumulative luminous flux percentage.

7. The method for calculating luminaire lenses based on Bessel beams according to claim 1, characterized in that, The inner surface of the lamp lens is a Bézier surface, and the calculation method for the lamp lens further includes: The shape parameters of the Bezier surface are calculated and determined based on the aperture diameter and depth of the bottom hole of the lamp lens.

8. A lamp lens calculation device based on Bessel beams, characterized in that, include: The range calculation unit is used to obtain the angular range of light incident on the lamp lens, and divide the angular range into several equal parts to obtain several incident light ring zone intervals; An angle calculation unit is used to calculate the annular luminous flux corresponding to each incident light annular zone based on the preset iso-illuminance distribution characteristics and the preset annular luminous flux characteristics of the Lambertian light source, and to calculate the outgoing light angle corresponding to each incident light annular zone based on the annular luminous flux. The surface calculation unit is used to calculate the coordinates of each point on the exit surface of the lamp lens according to the exit light angle using a preset iterative method, so as to obtain an initial freeform surface; The result correction unit is used to apply a preset Gaussian domain parameter to each of the emitted light angles to smooth it out, thereby obtaining the adjusted emitted light angle, and then recalculate the target freeform surface using the iterative method based on the adjusted emitted light angle.

9. A computer device, characterized in that, The system includes a memory, a processor, and a computer program stored in the memory and executable on the processor, wherein the processor, when executing the computer program, implements the lamp lens calculation method based on a Bessel beam as described in any one of claims 1 to 7.

10. A computer-readable storage medium, characterized in that, The computer-readable storage medium stores a computer program that, when executed by a processor, implements the lamp lens calculation method based on Bessel beams as described in any one of claims 1 to 7.

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