Prediction method for radiation field after deformation of flexible antenna

Abstract

The invention discloses a method for predicting a radiation field after deformation of a flexible antenna, and the method comprises the steps: initializing a target parameter of the flexible antenna, obtaining a first variable quantity and a second variable quantity of each current vector after deformation of the flexible antenna based on the target parameter, the first variable quantity being a variable quantity # imgabs1 # of an initial spatial position # imgabs0 # of the current vector, and the second variable quantity being a variable quantity # imgabs2 # of the initial spatial position # imgabs0 # of the current vector; the second variable quantity is the variable quantity # imgabs3 # of the initial space attitude # imgabs2 # of the current vector; based on the first variable quantity and the second variable quantity of each current vector, a current mode of the flexible antenna after deformation is obtained; and obtaining a prediction result of a radiation field after the deformation of the flexible antenna based on the current mode after the deformation of the flexible antenna, the impedance operator matrix and the target parameters of the flexible antenna. According to the method, the prediction accuracy of the radiation field after the flexible antenna deforms can be ensured while the method adapts to the condition of deformation of different dimensions of the flexible antenna.

Description

Technical Field

[0001] The present invention belongs to the technical field of flexible antennas, and in particular relates to a method for predicting the radiation field of a deformed flexible antenna. Background Art

[0002] Flexible antennas are made of flexible materials and are capable of maintaining their electrical performance to the greatest extent possible despite deformation, such as bending and folding. Flexible antennas are widely used in applications such as drones, flexible electronic devices, and wearable technology. The radiation field of a flexible antenna in its initial state is ideal for its design, resulting in optimal radiation characteristics. However, as usage requirements change, flexible antennas inevitably deform, significantly affecting the current distribution and radiation field on their surface.

[0003] Flexible antennas can deform in a variety of ways, depending on the specific needs of their intended use. For example, when used with the belly of a drone, the antenna may undergo a cylindrical deformation; when used with the radome of an aircraft, the antenna may undergo a spherical deformation; and when used with wearable devices that deform with the human body, irregular multi-dimensional deformations may occur due to the need to closely conform to the curves of the human body surface. Although some studies have attempted to predict the radiation field of deformed flexible antennas, most of these studies have focused on one-dimensional deformation models, such as cylindrical deformation. This means that these studies fail to fully consider the impact of complex multi-dimensional deformations on the electrical properties of flexible antennas. Therefore, for flexible antennas, accurately predicting the changes in their electrical performance under different complex deformations becomes the key to ensuring their stable operation in various practical applications.

[0004] To improve the accuracy and efficiency of predictions, a patent application with publication number CN115374631A, titled "Rapid Prediction Method for One-Dimensional Deformation Electrical Performance of Flexible Antennas," proposes a method for rapidly predicting the radiation field of a flexible antenna after one-dimensional deformation using FEKO software. This method divides the microstrip antenna model into a triangular mesh in the simulation software, calculates the current distribution on the antenna surface using the RWG basis function, and derives the radiation field after deformation based on this. While improving computational efficiency, this method also solves the problem of long computational time associated with traditional methods. However, this method is only applicable to one-dimensional bending deformations, meaning it can only predict the radiation field of a flexible antenna after a single-dimensional deformation, limiting its practicality and widespread application.

[0005] To broaden the scope of prediction applications, patent application CN11920365A, entitled "Prediction Method for Deformed Radiation Field of Flexible Antennas Based on Infinitesimal Dipoles," proposes a method for predicting the radiation field of deformed flexible antennas based on infinitesimal dipoles. This method employs an infinitesimal dipole at the center of each finite element cell, treating the flexible antenna as equivalent to multiple infinitesimal dipoles. The method then calculates the radiation field of the deformed flexible antenna by calculating the dipole moment of each infinitesimal dipole, along with the dyadic Green's function matrix and attitude matrix of the deformed flexible antenna. While maintaining prediction accuracy and efficiency, this method adapts to deformations of flexible antennas in various dimensions, avoiding the drawbacks of existing techniques that rely on surface currents to calculate the radiation field based on a one-dimensional bending deformation model, thus broadening the scope of prediction. However, because this method relies on a finite element mesh modeling of the flexible antenna, when the flexible antenna deforms with arbitrary curved surfaces (such as human skin or the surface of complex industrial equipment), the antenna's shape may not be directly available in a well-defined finite element mesh. This makes it difficult to construct an accurate infinitesimal dipole model, reducing the accuracy and applicability of the prediction. Summary of the Invention

[0006] In order to overcome the above-mentioned defects in the prior art, the present invention provides a method for predicting the radiation field of a flexible antenna after deformation. The technical problem to be solved by the present invention is achieved through the following technical solutions: The present invention provides a method for predicting the radiation field of a flexible antenna after deformation, comprising: Initialize the target parameters of the flexible antenna. The target parameters of the flexible antenna include N Initial current modes, each of which includes A The current vector, a The initial spatial position of the current vector is , No. a The initial spatial posture of the current vector is , No. a The initial starting point coordinates and initial end point coordinates of the current vector are and , the thickness of the flexible antenna at the initial starting point coordinate and the initial end point coordinate are and , the surface on which the flexible antenna is deformed has The coordinates of the sampling points, OK Sampling points of the column The coordinates are , the incident electric field in the dielectric region of the flexible antenna is , the incident magnetic field in the dielectric region of the flexible antenna is , the incident electric field in the metal area of ​​the flexible antenna is ;in, , , , ; Based on the target parameters of the flexible antenna, the first change and the second change of each current vector after the flexible antenna is deformed are obtained. The first change is the initial spatial position of the current vector. The amount of change , the second variation is the initial spatial posture of the current vector The amount of change ; Obtaining a current pattern of the flexible antenna after deformation based on a first variation and a second variation of each current vector; Based on the current pattern, impedance operator matrix and target parameters of the flexible antenna after deformation, the radiation field prediction result of the flexible antenna after deformation is obtained.

[0007] In one embodiment of the present invention, obtaining a first change amount and a second change amount of each current vector after deformation of the flexible antenna based on target parameters of the flexible antenna includes: Based on the coordinates of the sampling points on the surface where the flexible antenna is deformed and the two-dimensional non-uniform rational B-spline basis function, the surface equation where the flexible antenna is deformed is calculated; Calculating the starting point coordinates of each current vector after deformation of the flexible antenna based on the surface equation, the initial starting point coordinates of each current vector, and the thickness of the flexible antenna at each initial starting point coordinate; Calculating the endpoint coordinates of each current vector after deformation of the flexible antenna based on the surface equation, the initial endpoint coordinates of each current vector, and the thickness of the flexible antenna at each initial endpoint coordinate; Based on the starting point coordinates of each current vector after the flexible antenna is deformed and the initial starting point coordinates of the corresponding current vector, and the end point coordinates of each current vector after the flexible antenna is deformed and the initial end point coordinates of the corresponding current vector, the first change amount and the second change amount of each current vector after the flexible antenna is deformed are calculated.

[0008] In one embodiment of the present invention, the calculation formula for calculating the surface equation for the deformation of the flexible antenna is:

[0009] in, is the surface equation for the deformation of the flexible antenna, is a two-dimensional nonuniform rational B Spline basis functions, and Two-dimensional non-uniform rational B The order of the spline basis function in each dimension, For the OK The coordinates of the sampling points of the column , is the initial starting point coordinate , Or the initial end point coordinates , .

[0010] In one embodiment of the present invention, the calculation formulas for calculating the starting point coordinates of the current vector and the ending point coordinates of the current vector are respectively:

[0011]

[0012] in, is the starting point coordinate of the current vector, is the surface equation for the deformation of the flexible antenna, For the modulo operation, is the end point coordinate of the current vector.

[0013] In one embodiment of the present invention, the first variation of the current vector is calculated. and the second variation The calculation formulas are:

[0014]

[0015]

[0016] in, is the first variation of the current vector, For the modulo operation, is the second variation of the current vector, is the starting point coordinate of the current vector, The coordinates of the end point of the current vector.

[0017] In one embodiment of the present invention, the calculation formula for calculating the current pattern after the flexible antenna is deformed is:

[0018]

[0019] in, is the current pattern after the flexible antenna is deformed, and Each current vector is Axis positive direction and Axis positive direction of rotation and The rotation matrix of The positive direction of the axis is the length direction of the flexible antenna. The positive direction of the axis is perpendicular to the upper surface of the flexible antenna and points to the radiation direction of the flexible antenna. is the initial current pattern of the flexible antenna, is the Dirichlet sampling function, is the spatial position of each current vector after the flexible antenna is deformed.

[0020] In one embodiment of the present invention, a prediction result of the radiation field of the flexible antenna after deformation is obtained based on the current pattern, impedance operator matrix, and target parameters of the flexible antenna after deformation, including: Based on the current pattern and impedance operator matrix after the flexible antenna is deformed, the target impedance matrix is ​​calculated; Based on the current pattern after the deformation of the flexible antenna and the incident electric field in the dielectric area of ​​the flexible antenna , the incident magnetic field in the dielectric region of the flexible antenna and the incident electric field in the metal region of the flexible antenna , calculate the target excitation matrix; Based on the target impedance matrix and the target excitation matrix, the target weight coefficient is calculated; Based on the target weight coefficient and the current pattern of the flexible antenna after deformation, the radiation field of the flexible antenna after deformation is calculated.

[0021] In one embodiment of the present invention, the calculation formula for calculating the target impedance matrix is:

[0022] in, The target impedance matrix ， ~ ~ is the impedance matrix of each two current modes after the flexible antenna is deformed;

[0023] in, The first m The current mode and n Current-mode impedance matrix ， The first m Current mode, The first n Current mode, is the impedance operator matrix, is the inner product operation;

[0024] in, and are the identity matrix and the zero matrix respectively, It is a matrix obtained by establishing the electric field integral equation and the magnetic field integral equation on the outer surface of the flexible antenna dielectric area. It is a matrix obtained by establishing the electric field integral equation and the magnetic field integral equation on the inner surface of the flexible antenna dielectric area, and the electric field integral equation on the inner surface of the flexible antenna metal area. To take the conjugate transpose operation;

[0025]

[0026]

[0027]

[0028] in, is the imaginary unit, is the angular velocity of the electromagnetic wave, and are the dielectric constants in vacuum medium and air medium respectively, and are the magnetic permeabilities in vacuum and in medium, respectively, and is an integral operator that represents the field source relationship in a uniform infinite space. is the Hamiltonian operator, is the wave number of the electromagnetic wave, is the binary Green's function, is the Cauchy principal value of the integral.

[0029] In one embodiment of the present invention, the calculation formula for calculating the target excitation matrix is:

[0030] in, is the target incentive matrix, ~ ~ is the excitation matrix of each current mode after the flexible antenna is deformed;

[0031]

[0032] in, The first mA current-mode excitation matrix, The first m Current mode, is the initial excitation matrix, is the inner product operation, and are the identity matrix and the zero matrix respectively, It is a matrix obtained by establishing the electric field integral equation and the magnetic field integral equation on the outer surface of the flexible antenna dielectric area. is the conjugate transpose operation.

[0033] In one embodiment of the present invention, the calculation formulas for calculating the target weight coefficient and the radiation field after the flexible antenna is deformed are:

[0034] in, is the target weight coefficient, ~ ~ is the weight coefficient of each current mode after the flexible antenna is deformed;

[0035] in, The first n The weight coefficients of the current modes, The first m The current mode and n The impedance matrix of the current mode, For Find the inverse, The first m A current-mode excitation matrix;

[0036] in, is the radiation field after the flexible antenna is deformed, is the imaginary unit, is the angular velocity of the electromagnetic wave, is the magnetic permeability in vacuum medium, is the binary Green's function, is the target weight coefficient, This is the current pattern after the flexible antenna is deformed Another aspect of the present invention provides a storage medium storing a computer program for executing the steps of the method for predicting the radiation field of a deformed flexible antenna according to any one of the above embodiments.

[0037] Another aspect of the present invention provides an electronic device, including a memory and a processor, wherein the memory stores a computer program, and when the processor calls the computer program in the memory, it implements the steps of the method for predicting the radiation field of the flexible antenna after deformation as described in any of the above embodiments.

[0038] Compared with the prior art, the present invention has the following beneficial effects: (1) The present invention provides a method for predicting the radiation field of a deformed flexible antenna. The method equates the flexible antenna to multiple current patterns, each current pattern consisting of multiple current vectors. The method calculates the change in spatial position and spatial attitude of each current vector after the deformation of the flexible antenna, so that the current pattern of the deformed flexible antenna is obtained based on the change in spatial position and spatial attitude of each current vector. The method also obtains a prediction result of the radiation field of the deformed flexible antenna based on the current pattern of the deformed flexible antenna. Since the present invention reflects the effect of the deformation of the flexible antenna on the radiation field through the change in spatial position and spatial attitude of each current vector in the current pattern, which is independent of the structure of the antenna itself, the method can adapt to the deformation of the flexible antenna in different dimensions, thus avoiding the defect of the prior art in calculating the radiation field through the surface current of a one-dimensional bending deformation model.

[0039] (2) Since the present invention uses a large number of current vectors in the initial state of the flexible antenna A ( ) calculates the corresponding current pattern of the flexible antenna after deformation, thereby ensuring the accuracy of the prediction of the radiation field of the flexible antenna after deformation.

[0040] (3) When analyzing different deformation states of a flexible antenna, the present invention calculates the current pattern of the flexible antenna after deformation by using multiple current vectors in the initial state of the flexible antenna. Therefore, when the antenna undergoes different deformations, it is only necessary to calculate the spatial position of the current vector in different deformation states and the change in spatial posture to calculate the current pattern of the flexible antenna after deformation. Then, based on the current pattern of the flexible antenna after deformation, the prediction result of the radiation field of the flexible antenna after deformation is obtained. Therefore, this method can improve the prediction efficiency of the radiation field of the flexible antenna after deformation.

[0041] The present invention will be further described in detail below with reference to the accompanying drawings and embodiments. BRIEF DESCRIPTION OF THE DRAWINGS

[0042] Figure 1 1 is a structural diagram of a flexible antenna provided by an embodiment of the present invention; Figure 2 This is a flow chart of a method for predicting the radiation field of a flexible antenna after deformation provided by an embodiment of the present invention; Figure 3A schematic diagram of a flexible antenna provided in an embodiment distributed in a Cartesian coordinate system. DETAILED DESCRIPTION

[0043] In order to further illustrate the technical means and effects adopted by the present invention to achieve the predetermined purpose of the invention, the following is a detailed description of a method for predicting the radiation field of a flexible antenna after deformation proposed in accordance with the present invention, in conjunction with the accompanying drawings and specific embodiments.

[0044] The aforementioned and other technical contents, features, and effects of the present invention are clearly presented in the following detailed description of the specific embodiments in conjunction with the accompanying drawings. Through the description of the specific embodiments, a deeper and more specific understanding of the technical means and effects adopted by the present invention to achieve the intended purpose can be obtained. However, the accompanying drawings are provided for reference and illustration purposes only and are not intended to limit the technical solutions of the present invention.

[0045] It should be noted that, in this document, relational terms such as first and second, etc., are used only to distinguish one entity or operation from another entity or operation, and do not necessarily require or imply any actual relationship or order between these entities or operations. Moreover, the terms "comprises," "comprising," or any other variations are intended to cover non-exclusive inclusion, such that an article or device comprising a series of elements includes not only those elements, but also other elements not explicitly listed. In the absence of further limitations, an element defined by the phrase "comprising a ..." does not exclude the presence of additional identical elements in the article or device comprising the element.

[0046] The present invention addresses the problem of low accuracy and applicability of the existing technology for predicting the radiation field of a flexible antenna after deformation. A method for predicting the radiation field of a flexible antenna after deformation is proposed. To facilitate understanding of the solution provided by the present invention, before introducing the method for predicting the radiation field of a flexible antenna after deformation provided by the present invention, the structure of the flexible antenna is first introduced. Figure 1 , Figure 1 It is a structural schematic diagram of a flexible antenna provided by an embodiment of the present invention.

[0047] like Figure 1 As shown, the flexible antenna 100 includes a flexible substrate 110 and a desired electrical conductor 120 coated thereon.

[0048] Specifically, the size of the flexible substrate 110 is (length×width×height), an hourglass-shaped ideal electrical conductor 120 is coated at the geometric center of its upper surface.

[0049] The ideal conductor 120 comprises two isosceles trapezoidal metal sheets 1201 of the same size, and the two isosceles trapezoidal metal sheets 1201 are arranged opposite to each other with their upper bases overlapping. , the size of the lower base of the isosceles trapezoidal metal sheet 1201 is , the height of the two isosceles trapezoidal metal sheets 1201 is , the thickness of the isosceles trapezoidal metal sheet 1201 is .

[0050] After introducing the structure of the flexible antenna, the following describes in detail the method for predicting the radiation field of the flexible antenna after deformation provided by the present invention. Figure 2 , Figure 2 : is a flow chart of a method for predicting the radiation field of a flexible antenna after deformation provided by an embodiment of the present invention, the method comprising the following steps: S1: Initialize the target parameters of the flexible antenna.

[0051] The target parameters of the flexible antenna include N initial current patterns, each of which includes A current vectors, and the initial spatial position of the ath current vector is , 0<a≤A, the initial spatial posture of the ath current vector is The initial starting point coordinates and initial end point coordinates of the ath current vector are and , the thickness of the flexible antenna at the initial starting point coordinate and the initial end point coordinate are and , the surface on which the flexible antenna is deformed has The coordinates of the sampling points, OK Sampling points of the column The coordinates are ,0< ≤ ,0< ≤ , the incident electric field in the dielectric region of the flexible antenna is , the incident magnetic field in the dielectric region of the flexible antenna is , the incident electric field in the metal area of ​​the flexible antenna is ;in, , , , .

[0052] It can be understood that the initial current patterns described above represent a set of orthogonal current distribution solutions determined by the intrinsic electromagnetic properties of a passive flexible antenna, which can be solved using eigenmode theory. Each initial current pattern consists of a set of current vectors. Because these initial current patterns are orthogonal to each other, they are often used as basis functions for antenna currents. Therefore, they can be used to construct current distributions under arbitrary excitations, thereby analyzing and optimizing antenna performance, with good interpretability and physical intuitiveness.

[0053] It should be noted that the flexible antennas in the embodiment of the present invention are distributed in a Cartesian coordinate system. For details, see Figure 3 As shown, the upper surface of the flexible antenna is Plane coincidence, origin of Cartesian coordinate system Located at the geometric center of the upper surface of the flexible antenna. In addition, the initial spatial position of each current vector is defined as the current vector and the origin of the Cartesian coordinate system The distance between each current vector The initial spatial posture of is defined as the current vector and Axis and The angle between the axes, e.g. Figure 3 As shown, Current vector The initial spatial position of is the current vector With the origin The distance between the current vector The initial spatial posture is the current vector Respectively Axis and The angle between the axes.

[0054] S2: Based on the target parameters of the flexible antenna, the first change and the second change of each current vector after the flexible antenna is deformed are obtained. The first change is the initial spatial position of the current vector. The amount of change , the second variation is the initial spatial posture of the current vector The amount of change .

[0055] In this embodiment of the present invention, S2 includes the following steps: S2.1: Coordinates of sampling points on the deformed surface generated by the flexible antenna and two-dimensional non-uniform rational B Spline basis function, calculates the surface equation of the deformation of the flexible antenna.

[0056] Specifically, the calculation formula for the surface equation for calculating the deformation of the flexible antenna is:

[0057] in, is the surface equation for the deformation of the flexible antenna, is a two-dimensional nonuniform rational B Spline basis functions, and Two-dimensional non-uniform rational B The order of the spline basis function in each dimension, For the OK The coordinates of the sampling points of the column , is the initial starting point coordinate , Or the initial end point coordinates , .

[0058] S2.2: Calculate the starting point coordinates of each current vector after the flexible antenna is deformed based on the surface equation, the initial starting point coordinates of each current vector, and the thickness of the flexible antenna at each initial starting point coordinate.

[0059] Specifically, the calculation formula for the starting point coordinates of the current vector is:

[0060] in, is the starting point coordinate of the current vector, is the surface equation for the deformation of the flexible antenna, It is a modulo operation.

[0061] It should be noted that the above For the surface equation Find the partial derivative of the variable s, and then change the initial starting point coordinates , Substitute the obtained partial derivatives to obtain the surface equation At the coordinate point The partial derivative of variable s; For the surface equation Find the partial derivative of the variable t, and then change the initial and final coordinates of the starting point to , Substitute the obtained partial derivatives to obtain the surface equation At the coordinate point The partial derivative of the variable t. It can be understood that, and The meanings of and The meanings are similar and will not be repeated here.

[0062] S2.3: Calculate the endpoint coordinates of each current vector after the flexible antenna is deformed based on the surface equation, the initial endpoint coordinates of each current vector, and the thickness of the flexible antenna at each initial endpoint coordinate.

[0063] Specifically, the calculation formula for the end point coordinates of the current vector is:

[0064] in, is the end point coordinate of the current vector, is the surface equation for the deformation of the flexible antenna, It is a modulo operation.

[0065] S2.4: Calculate a first change of each current vector after the flexible antenna is deformed based on the starting point coordinates of each current vector after the flexible antenna is deformed and the initial starting point coordinates of the corresponding current vector, the ending point coordinates of each current vector after the flexible antenna is deformed and the initial ending point coordinates of the corresponding current vector. and the second variation .

[0066] Specifically, the first change of the current vector is calculated and the second variation The calculation formulas are:

[0067]

[0068]

[0069] in, is the first variation of the current vector, For the modulo operation, is the second variation of the current vector, is the starting point coordinate of the current vector, The coordinates of the end point of the current vector.

[0070] S3: Obtaining a current pattern of the flexible antenna after deformation based on the first change amount and the second change amount of each current vector.

[0071] Specifically, the calculation formula for calculating the current pattern after the flexible antenna is deformed is:

[0072]

[0073] in, is the current pattern after the flexible antenna is deformed, and Each current vector is Axis positive direction and Axis positive direction of rotation and The rotation matrix of The positive direction of the axis is the length direction of the flexible antenna. The positive direction of the axis is perpendicular to the upper surface of the flexible antenna and points to the radiation direction of the flexible antenna. is the initial current pattern of the flexible antenna, is the Dirichlet sampling function, is the spatial position of each current vector after the flexible antenna is deformed.

[0074] S4: Based on the current pattern, impedance operator matrix, and target parameters of the flexible antenna after deformation, the radiation field prediction result of the flexible antenna after deformation is obtained.

[0075] It should be noted that the predicted radiation field of the flexible antenna after deformation can be understood as the spatial distribution characteristics of the electromagnetic radiation generated by the flexible antenna after deformation. The predicted radiation field is usually presented in the form of a spatial function or a numerical matrix.

[0076] In this embodiment of the present invention, S4 includes the following steps: S4.1: Based on the current pattern and impedance operator matrix after the flexible antenna is deformed, calculate the target impedance matrix.

[0077] Specifically, the calculation formula for calculating the target impedance matrix is:

[0078] Where Z is the target impedance matrix, ~ ~ is the impedance matrix of each two current modes after the flexible antenna is deformed;

[0079] in, The first m The current mode and n The impedance matrix of the current mode, 0< m ≤ N ,0< n ≤ N , The first m Current mode, The first n Current mode, is the impedance operator matrix, is the inner product operation;

[0080] in, and are the identity matrix and the zero matrix respectively, It is a matrix obtained by establishing the electric field integral equation and the magnetic field integral equation on the outer surface of the flexible antenna dielectric area. It is a matrix obtained by establishing the electric field integral equation and the magnetic field integral equation on the inner surface of the flexible antenna dielectric area, and the electric field integral equation on the inner surface of the flexible antenna metal area. To take the conjugate transpose operation;

[0081]

[0082]

[0083]

[0084] in, is the imaginary unit, is the angular velocity of the electromagnetic wave, and are the dielectric constants in vacuum medium and air medium respectively, and are the magnetic permeabilities in vacuum and in medium, respectively, and is an integral operator that represents the field source relationship in a uniform infinite space. is the Hamiltonian operator, is the wave number of the electromagnetic wave, is the binary Green's function, is the Cauchy principal value of the integral.

[0085] S4.2: Based on the current pattern after the flexible antenna is deformed, the incident electric field in the dielectric region of the flexible antenna is: , the incident magnetic field in the dielectric region of the flexible antenna is , the incident electric field in the metal area of ​​the flexible antenna is , calculate the target excitation matrix.

[0086] Specifically, the calculation formula for calculating the target incentive matrix is:

[0087] in, is the target incentive matrix, ~ ~ is the excitation matrix of each current mode after the flexible antenna is deformed;

[0088]

[0089] in, The first m A current-mode excitation matrix, The first m Current mode, is the initial excitation matrix, is the inner product operation, and are the identity matrix and the zero matrix respectively, It is a matrix obtained by establishing the electric field integral equation and the magnetic field integral equation on the outer surface of the flexible antenna dielectric area. is the conjugate transpose operation.

[0090] S4.3: Based on the target impedance matrix and the target excitation matrix, the target weight coefficient is calculated.

[0091] Specifically, the calculation formula for the target weight coefficient is:

[0092] in, is the target weight coefficient, ~ ~ is the weight coefficient of each current mode after the flexible antenna is deformed;

[0093] in, The first n The weight coefficients of the current modes, The first m The current mode and n The impedance matrix of the current mode, For Find the inverse, The first m A current-mode excitation matrix.

[0094] S4.4: Based on the target weight coefficient and the current pattern of the flexible antenna after deformation, calculate the radiation field of the flexible antenna after deformation.

[0095] Specifically, the calculation formula for calculating the radiation field after the flexible antenna is deformed is:

[0096] in, is the radiation field after the flexible antenna is deformed, is the imaginary unit, is the angular velocity of the electromagnetic wave, is the magnetic permeability in vacuum medium, is the binary Green's function, is the target weight coefficient, This is the current pattern after the flexible antenna is deformed.

[0097] In summary, the method for predicting the radiation field of a deformed flexible antenna provided by an embodiment of the present invention treats the flexible antenna as equivalent to multiple current patterns, each current pattern consisting of multiple current vectors, and calculates the change in spatial position and spatial attitude of each current vector after the flexible antenna is deformed, so that based on the change in spatial position and spatial attitude of each current vector, the current pattern after the deformation of the flexible antenna is obtained, and based on the current pattern after the deformation of the flexible antenna, a prediction result of the radiation field of the deformed flexible antenna is obtained. Because the present invention reflects the impact of the deformation of the flexible antenna on the radiation field through the change in spatial position and spatial attitude of each current vector in the current pattern, it is independent of the structure of the antenna itself and can adapt to the deformation of the flexible antenna in different dimensions, avoiding the defect of the prior art of calculating the radiation field through the surface current of a one-dimensional bending deformation model.

[0098] In addition, since the embodiment of the present invention uses a large number of current vectors in the initial state of the flexible antenna A ( ) calculates the corresponding current pattern of the flexible antenna after deformation, thereby ensuring the accuracy of the prediction of the radiation field of the flexible antenna after deformation.

[0099] In addition, when analyzing different deformation states of a flexible antenna in an embodiment of the present invention, since the current pattern of the flexible antenna after deformation is calculated through multiple current vectors in the initial state of the flexible antenna, when the antenna undergoes different deformations, it is only necessary to calculate the spatial position of the current vector in different deformation states and the change in spatial posture to calculate the current pattern of the flexible antenna after deformation, and then based on the current pattern after deformation of the flexible antenna, obtain the prediction result of the radiation field of the flexible antenna after deformation. Therefore, this method can improve the prediction efficiency of the radiation field of the flexible antenna after deformation.

[0100] It should be noted that in actual applications, after obtaining the radiation field of the flexible antenna after deformation based on the above method, technicians can adjust the structure of the flexible antenna (such as material, shape) based on the radiation field after deformation of the flexible antenna to reduce electromagnetic interference or signal attenuation caused by deformation, thereby ensuring that the flexible antenna still meets communication requirements (such as gain, directivity) after deformation, and ensuring the stability of the communication link.

[0101] In the several embodiments provided herein, it should be understood that the apparatus or method disclosed herein may be implemented in other ways. For example, the apparatus embodiments described above are merely illustrative. For example, the module division is merely a logical functional division. In actual implementation, other division methods may be used. For example, multiple modules or components may be combined or integrated into another system, or some features may be omitted or not implemented.

[0102] In addition, the functional modules in various embodiments of the present invention may be integrated into a single processing module, each module may exist physically separately, or two or more modules may be integrated into a single module. The aforementioned integrated modules may be implemented in the form of hardware or hardware plus software functional modules.

[0103] Yet another embodiment of the present invention provides a storage medium storing a computer program for executing the steps of the method for predicting the radiation field of a deformed flexible antenna described in the above embodiment.

[0104] Another aspect of the present invention provides an electronic device, including a memory and a processor, wherein a computer program is stored in the memory, and when the processor calls the computer program in the memory, the steps of the method for predicting the radiation field of the flexible antenna after deformation as described in the above embodiment are implemented. Specifically, the above-mentioned integrated module implemented in the form of a software function module can be stored in a computer-readable storage medium. The above-mentioned software function module is stored in a storage medium, including a number of instructions for enabling an electronic device (which can be a personal computer, a server, or a network device, etc.) or a processor to perform some steps of the method described in each embodiment of the present invention. The aforementioned storage medium includes: various media that can store program codes, such as a U disk, a mobile hard disk, a read-only memory (ROM), a random access memory (RAM), a magnetic disk or an optical disk.

[0105] The above is a further detailed description of the present invention in conjunction with specific preferred embodiments, and the specific implementation of the present invention should not be considered to be limited to these descriptions. For those skilled in the art of the present invention, without departing from the concept of the present invention, several simple deductions or substitutions can be made, which should be considered to fall within the scope of protection of the present invention.

Claims

1. A method for predicting the radiation field of a deformed flexible antenna, characterized in that: include: Initialize the target parameters of the flexible antenna, the target parameters of the flexible antenna include N initial current modes, each of which includes A The current vector, a The initial spatial position of the current vector is , No. a The initial spatial posture of the current vector is , No. a The initial starting point coordinates and initial end point coordinates of the current vector are and The thickness of the flexible antenna at the initial starting point coordinate and the initial end point coordinate are respectively and The curved surface on which the flexible antenna is deformed is provided with The coordinates of the sampling points, OK Sampling points of the column The coordinates are , the incident electric field in the dielectric region of the flexible antenna is , the incident magnetic field in the dielectric region of the flexible antenna is , the incident electric field of the metal area of ​​the flexible antenna is ;in, , , , ; Based on the target parameters of the flexible antenna, a first change amount and a second change amount of each current vector after the flexible antenna is deformed are obtained, wherein the first change amount is the initial spatial position of the current vector. The amount of change , the second variation is the initial spatial posture of the current vector The amount of change ; Obtaining a current pattern of the flexible antenna after deformation based on the first change amount and the second change amount of each current vector; Based on the current pattern of the flexible antenna after deformation, the impedance operator matrix, and the target parameters of the flexible antenna, a prediction result of the radiation field of the flexible antenna after deformation is obtained.

2. The method for predicting the radiation field of a deformed flexible antenna according to claim 1, wherein: The obtaining, based on the target parameters of the flexible antenna, a first change amount and a second change amount of each current vector after the flexible antenna is deformed, includes: The coordinates of the sampling points on the surface of the deformation of the flexible antenna and the two-dimensional non-uniform rational B A spline basis function is used to calculate a surface equation for deformation of the flexible antenna; Calculating the starting point coordinates of each current vector after the flexible antenna is deformed based on the surface equation, the initial starting point coordinates of each current vector, and the thickness of the flexible antenna at each initial starting point coordinate; Calculating the endpoint coordinates of each current vector after the flexible antenna is deformed based on the surface equation, the initial endpoint coordinates of each current vector, and the thickness of the flexible antenna at each initial endpoint coordinate; Based on the starting point coordinates of each current vector after the flexible antenna is deformed and the corresponding initial starting point coordinates of the current vector, the end point coordinates of each current vector after the flexible antenna is deformed and the corresponding initial end point coordinates of the current vector, the first change amount and the second change amount of each current vector after the flexible antenna is deformed are calculated.

3. The method for predicting the radiation field of a deformed flexible antenna according to claim 2, wherein: The calculation formula for calculating the surface equation for the deformation of the flexible antenna is: in, is the surface equation of the deformation of the flexible antenna, For the two-dimensional nonuniform rational B Spline basis functions, and Two-dimensional non-uniform rational B The order of the spline basis function in each dimension, For the OK The coordinates of the sampling points of the column , is the initial starting point coordinate , Or the initial endpoint coordinates , .

4. The method for predicting the radiation field of a deformed flexible antenna according to claim 2, wherein: The calculation formulas for calculating the starting point coordinates of the current vector and the end point coordinates of the current vector are respectively: in, is the starting point coordinate of the current vector, is the surface equation of the deformation of the flexible antenna, For the modulo operation, is the end point coordinate of the current vector.

5. The method for predicting the radiation field of a deformed flexible antenna according to claim 2, wherein: Calculate the first change of the current vector and the second variation The calculation formulas are: in, is the first variation of the current vector, For the modulo operation, is the second variation of the current vector, is the starting point coordinate of the current vector, The coordinates of the endpoint of the current vector.

6. The method for predicting the radiation field of a deformed flexible antenna according to claim 1, wherein: The calculation formula for calculating the current mode after the flexible antenna is deformed is: in, is the current pattern of the flexible antenna after deformation, and Each of the current vectors is respectively Axis positive direction and Axis positive direction of rotation and The rotation matrix, The positive direction of the axis is the length direction of the flexible antenna. The positive direction of the axis is perpendicular to the upper surface of the flexible antenna and points to the radiation direction of the flexible antenna. is the initial current pattern of the flexible antenna, is the Dirichlet sampling function, is the spatial position of each current vector after the flexible antenna is deformed.

7. The method for predicting the radiation field of a deformed flexible antenna according to claim 1, wherein: The obtaining of a prediction result of a radiation field of the flexible antenna after deformation based on a current pattern of the flexible antenna after deformation, an impedance operator matrix, and target parameters of the flexible antenna includes: Calculating a target impedance matrix based on the current pattern of the deformed flexible antenna and the impedance operator matrix; Based on the current mode after the deformation of the flexible antenna, the incident electric field of the flexible antenna dielectric area , the incident magnetic field in the dielectric region of the flexible antenna and the incident electric field of the metal region of the flexible antenna , calculate the target excitation matrix; Calculating target weight coefficients based on the target impedance matrix and the target excitation matrix; The radiation field of the flexible antenna after deformation is calculated based on the target weight coefficient and the current pattern of the flexible antenna after deformation.

8. The method for predicting the radiation field of a deformed flexible antenna according to claim 7, wherein: The calculation formula for calculating the target impedance matrix is: in, The target impedance matrix ， ~ ~ is the impedance matrix of each two current modes after the flexible antenna is deformed; in, is the first deformation of the flexible antenna m The current mode and n Current-mode impedance matrix ， is the first deformation of the flexible antenna m Current mode, is the first deformation of the flexible antenna n Current mode, is the impedance operator matrix, is the inner product operation; in, and are the identity matrix and the zero matrix respectively, is a matrix obtained by establishing an electric field integral equation and a magnetic field integral equation on the outer surface of the flexible antenna dielectric region, is a matrix obtained by establishing an electric field integral equation and a magnetic field integral equation on the inner surface of the flexible antenna dielectric region and an electric field integral equation on the inner surface of the flexible antenna metal region, To take the conjugate transpose operation; in, is the imaginary unit, is the angular velocity of the electromagnetic wave, and are the dielectric constants in vacuum medium and air medium respectively, and are the magnetic permeabilities in vacuum and in medium, respectively, and is an integral operator that represents the field source relationship in a uniform infinite space. is the Hamiltonian operator, is the wave number of the electromagnetic wave, is the binary Green's function, is the Cauchy principal value of the integral.

9. The method for predicting the radiation field of a deformed flexible antenna according to claim 7, wherein: The calculation formula for calculating the target excitation matrix is: in, is the target excitation matrix, ~ ~ is an excitation matrix of each current mode after the flexible antenna is deformed; in, is the first deformation of the flexible antenna m A current-mode excitation matrix, is the first deformation of the flexible antenna m Current mode, is the initial excitation matrix, is the inner product operation, and are the identity matrix and the zero matrix respectively, is a matrix obtained by establishing an electric field integral equation and a magnetic field integral equation on the outer surface of the flexible antenna dielectric region, is the conjugate transpose operation.

10. The method for predicting the radiation field of a deformed flexible antenna according to claim 7, wherein: The calculation formulas for calculating the target weight coefficient and the radiation field after the flexible antenna is deformed are: in, is the target weight coefficient, ~ ~ is the weight coefficient of each current mode after the flexible antenna is deformed; in, is the first deformation of the flexible antenna n The weight coefficients of the current modes, is the first deformation of the flexible antenna m The current mode and n The impedance matrix of the current mode, For Find the inverse, is the first deformation of the flexible antenna m A current-mode excitation matrix; in, is the radiation field of the flexible antenna after deformation, is the imaginary unit, is the angular velocity of the electromagnetic wave, is the magnetic permeability in vacuum medium, is the binary Green's function, is the target weight coefficient, is the current pattern of the flexible antenna after deformation.

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