A method for high probability and rapid capture of interstellar lasers based on scanning step size optimization
By optimizing the scanning step length of the equal-spiral line and establishing a theoretical analysis model for scanning time on the scanning step length, the problem of low probability of success and time-consuming interstellar laser capture in the prior art is solved, and high probability and fast interstellar laser is achieved capture.
Patent Information
- Application Number
- CN202411444967.9
- Authority / Receiving Office
- CN · China
- Patent Type
- Patents(China)
- Current Assignee / Owner
- Filing Date
- 2024-10-16
- Publication Date
- 2025-02-11
- Estimated Expiration
- 2044-10-16
AI Technical Summary
The prior art fails to fully consider the satellite platform vibration and reception signal-to-noise ratio when designing the scanning step, resulting in a low probability of success in inter-satellite laser capture and time-consuming.
By establishing a theoretical analysis model for scanning time on scanning step size, optimizing the scanning step size of the spiral line, and scanning capture based on the optimized scanning strategy, the success rate and speed of interstellar laser capture are improved.
Achieve high probability and fast inter-star laser capture, meeting the requirements of establishing inter-star laser links under platform jitter and low reception signal-to-noise ratio, and overcoming the existing methods of missing sweep, low capture success rate and long capture time The problem.
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Figure CN119011015B_ABST
Abstract
Description
Technical Field
[0001] The invention relates to the technical field of intersatellite laser communication, and in particular to a method for high-probability and fast capture of intersatellite laser based on scanning step optimization. Background Art
[0002] High-speed, high-security intersatellite laser links will facilitate the interconnection between my country's future low-orbit Internet satellites. Miniaturized, low-power, beacon-free laser communication terminals are conducive to the onboarding of low-orbit Internet satellites and the establishment of intersatellite laser links, but they will reduce the received signal-to-noise ratio and have an adverse effect on the scanning and capture phase pointed by the laser communication terminal. The momentum wheels, thrusters, refrigerators and other equipment on the satellite inevitably introduce platform vibration disturbances, causing the scanning beam to jitter. At longer distances in the intersatellite link, the received signal-to-noise ratio is reduced. The jitter of the transmitted beam causes the light intensity received by the receiving optical terminal to fluctuate and flicker. The flickering light intensity will make it impossible to detect the transmitted beam, which will have an adverse effect on intersatellite laser capture.
[0003] The capture of communication terminal laser is a necessary step in establishing intersatellite laser links. The optical terminal scans along the Archimedean spiral trajectory in the uncertainty area, which can solve the initial pointing misalignment problem caused by the optical terminal's field of view being smaller than the uncertainty area during the link establishment process. However, the existing methods do not fully consider the satellite platform vibration and the receiving signal-to-noise ratio when designing the overlap factor of the scanning step, which leads to missed scans during the scanning process, as well as the problem of low success probability and long time consumption of intersatellite laser capture. Summary of the invention
[0004] In view of the above-mentioned deficiencies in the prior art, the method for high-probability and rapid capture of intersatellite lasers based on scanning step optimization provided by the present invention solves the problems of missed scans, low probability of successful capture of intersatellite lasers and long time consumption in the prior art.
[0005] In order to achieve the above-mentioned invention object, the technical solution adopted by the present invention is: a method for high probability and rapid capture of interstellar laser based on scanning step optimization, comprising the following steps:
[0006] S1: With satellite A as the active scanner and satellite B as the passive gazer, the initial mutual pointing between satellite A and satellite B is established;
[0007] S2: Based on the initial mutual pointing of satellite A and satellite B, the pointing error and scanning area range are calculated;
[0008] S3: Based on the pointing error and the scanning area, the expected capture time model of the intersatellite laser is established;
[0009] S4: The capture time expectation model is used to optimize the equal helix scanning step size, and scanning capture is performed based on the equal helix scanning strategy after the optimized step size, completing the high probability and rapid capture of interstellar lasers based on the scanning step size optimization.
[0010] The beneficial effect of the above scheme is as follows: the present invention establishes a theoretical analysis model of scanning time with respect to scanning step length, and optimizes the scanning step length of the equal spiral scanning scheme. Then, scanning is performed based on the optimized optical terminal scanning scheme, and an intersatellite laser link is established quickly and with high probability. The present invention meets the requirement that the satellite quickly establishes an intersatellite laser link with high probability under platform jitter and low receiving signal-to-noise ratio. There is no need to change the existing optical terminal hardware equipment, only the scanning step length needs to be optimized. The shortcomings of the existing methods in the optimization design of the scanning step length are overcome, and the problems of missed scanning, low probability of successful intersatellite laser capture and long time consumption in the existing methods are solved.
[0011] Furthermore, in S1, satellite A adjusts the optical turntable to point to satellite B according to its own position and the position of satellite B in the ephemeris data, and satellite B adjusts the optical turntable to point to satellite A, thereby establishing the mutual initial pointing of satellite A and satellite B.
[0012] The beneficial effect of the above further scheme is that satellite A and satellite B are two satellites to establish an intersatellite laser link. When preparing to initiate link establishment, the two satellites adjust the satellite attitude and the optical turntable pointing according to the ephemeris information, and the optical terminals of both parties point to each other's position to complete the initial pointing. Satellite A is the active scanning party, and satellite B is the passive staring party.
[0013] Furthermore, the calculation formula of the pointing error in S2 is:
[0014]
[0015] in, is the standard deviation of the pointing error, is the relative position error caused by the satellite’s orbit error, is the satellite attitude control error, is the installation error of the optical terminal relative to the satellite body coordinate system;
[0016] The scanning area range The calculation formula is:
[0017] .
[0018] The beneficial effect of the above further scheme is: by calculating the initial pointing error of the intersatellite laser communication terminal and according to The criterion calculates the scanning range of the satellite optical terminal to ensure that the relative pointing angle of satellite B with respect to satellite A falls within the scanning range with a probability of more than 99%.
[0019] Furthermore, S3 includes the following sub-steps:
[0020] S3-1: Calculate the distribution of the distance from the receiving detector at each position on the scanning plane to the center of the light spot at different times in the presence of initial off-axis and two-dimensional jitter of the scanning light spot;
[0021] S3-2: Calculate the distribution of the light intensity value received by the receiving detector according to the change of the distance from the receiving detector to the center of the light spot;
[0022] S3-3: Calculate the distribution of the output value of the receiving detector based on the distribution of the light intensity value received by the receiving detector and the signal and noise output by the receiving detector;
[0023] S3-4: Based on the distribution of the output value of the receiving detector, the probability that the output value of the receiving detector is greater than the threshold is calculated and used as the response probability of the receiving end to the transmitted light beam;
[0024] S3-5: The scanning step is set so that adjacent scanning spots partially overlap, and based on the response probability of the receiving end to the transmitted light beam, the scanning capture success rate in the case of spot overlap is calculated to obtain the capture time expectation model.
[0025] The beneficial effect of the above further solution is: through the above technical solution, a laser capture time expectation model is established, the scanning step length contained therein is regarded as an independent variable, and the variation relationship of the laser capture time expectation with respect to the scanning step length is obtained.
[0026] Furthermore, the distribution of the distances from the receiving detectors at various positions on the scanning plane in S3-1 to the center of the light spot at different times is:
[0027]
[0028] in, is the probability density function, is the square of the distance from the detector to the center of the beam, is the radian root mean square value of beam jitter, is the distance from the detector to the center of the beam without jitter, is the modified zero-order Bessel function of the first kind;
[0029]
[0030]
[0031] in, is the initial position of the receiving detector, is a disturbed beam.
[0032] Furthermore, the distribution of the light intensity values received by the receiving detector in S3-2 is:
[0033]
[0034] in, To receive the light intensity value, is the varying beam radius, is the launch distance, is the light intensity at the center of the beam;
[0035]
[0036] in, is the laser beam waist width, is the laser wavelength.
[0037] Furthermore, the distribution of the detector output value received in S3-3 is:
[0038]
[0039] in, To receive the detector response, is the photoelectric conversion efficiency, is the photocurrent signal generated by the light beam, is the RMS value of the sensor noise, is the effective value of noise power;
[0040]
[0041]
[0042] in, is the electron charge, is the electrical bandwidth of the sensor.
[0043] Furthermore, the probability of the receiving end responding to the transmitted light beam in S3-4 is for:
[0044]
[0045] in, is the threshold value, is the complement of the error function;
[0046]
[0047] in, is the false probability, is the complementary error function, is the mean value of the sensor noise.
[0048] The beneficial effect of the above further solution is that in practical applications, the false alarm probability Usually a value specified by the user. At a lower level, to avoid false alarm events triggering subsequent frequency synchronization actions resulting in time waste.
[0049] Furthermore, the scanning capture success rate under the condition of spot overlap is calculated in S3-5 to obtain the capture time expectation model , the calculation formula is:
[0050]
[0051] in, is the scanning area on the scanning plane, is the initial position of the detector in the scanning plane The internal distribution follows a Gaussian distribution. is the expected calculation formula, The time for multiple repeated scans;
[0052]
[0053] in, is the cumulative detection probability of the receiving detector for the received beam, is the number of rounds of the current scan, is the total number of scanning rounds, The time when the scanning program execution ends. Scanned by the scanning program Estimated scan time for the location;
[0054]
[0055] in, It is the distance from the receiving detector to the center of several light beams that can ideally cover the detector.
[0056] Furthermore, in S4, the capture time expectation model is used to optimize the equal spiral line scanning step length, and the method is: based on the capture time expectation model, a genetic algorithm is used to solve the optimal equal spiral line scanning step length.
[0057] The beneficial effect of the above further solution is that: since the model of scanning capture time with respect to scanning step length is relatively complex, it is necessary to solve the optimal scanning step length by numerical optimization. The present invention uses a genetic algorithm to solve the optimal scanning step length , and avoid falling into the local optimal solution through multiple random initializations. BRIEF DESCRIPTION OF THE DRAWINGS
[0058] Figure 1 Flowchart of a method for high-probability and fast acquisition of interstellar lasers based on scan step size optimization.
[0059] Figure 2 A flowchart for building a model to capture temporal expectations.
[0060] Figure 3 Schematic diagram of the scanning scheme obtained by optimizing the scanning step size. DETAILED DESCRIPTION
[0061] The present invention will be further described below in conjunction with the accompanying drawings and specific embodiments.
[0062] like Figure 1 As shown, a method for high probability and rapid capture of interstellar laser based on scanning step size optimization comprises the following steps:
[0063] S1: With satellite A as the active scanner and satellite B as the passive gazer, the initial mutual pointing between satellite A and satellite B is established;
[0064] S2: Based on the initial mutual pointing of satellite A and satellite B, the pointing error and scanning area range are calculated;
[0065] S3: Based on the pointing error and the scanning area, the expected capture time model of the intersatellite laser is established;
[0066] S4: The capture time expectation model is used to optimize the equal helix scanning step size, and scanning capture is performed based on the equal helix scanning strategy after the optimized step size, completing the high probability and rapid capture of interstellar lasers based on the scanning step size optimization.
[0067] In S1, satellite A adjusts the optical turntable to point to satellite B according to its own position and the position of satellite B in the ephemeris data, and satellite B adjusts the optical turntable to point to satellite A, thereby establishing the initial pointing of satellite A and satellite B to each other.
[0068] According to the initial pointing error of the intersatellite laser communication terminal, the relative position error caused by the orbit error of the satellite , satellite attitude control error and the installation error of the optical terminal relative to the satellite body coordinate system Etc. The above errors all obey the normal distribution, and Denotes the standard deviation. The standard deviation of the initial pointing error It is expressed as the combination of the above three errors.
[0069] The calculation formula of the pointing error in S2 is:
[0070]
[0071] in, is the standard deviation of the pointing error, is the relative position error caused by the satellite’s orbit error, is the satellite attitude control error, is the installation error of the optical terminal relative to the satellite body coordinate system;
[0072] The scanning area range The calculation formula is:
[0073] .
[0074] In order to ensure that the relative pointing angle of satellite B relative to satellite A falls within the scanning range with a probability of more than 99%, the scanning area is designed The diameter is 6 times the standard deviation of the initial pointing error.
[0075] The S3 includes the following sub-steps:
[0076] S3-1: Calculate the distribution of the distance from the receiving detector at each position on the scanning plane to the center of the light spot at different times in the presence of initial off-axis and two-dimensional jitter of the scanning light spot;
[0077] S3-2: Calculate the distribution of the light intensity value received by the receiving detector according to the change of the distance from the receiving detector to the center of the light spot;
[0078] S3-3: Calculate the distribution of the output value of the receiving detector based on the distribution of the light intensity value received by the receiving detector and the signal and noise output by the receiving detector;
[0079] S3-4: Based on the distribution of the output value of the receiving detector, the probability that the output value of the receiving detector is greater than the threshold is calculated and used as the response probability of the receiving end to the transmitted light beam;
[0080] S3-5: The scanning step is set so that adjacent scanning spots partially overlap, and based on the response probability of the receiving end to the transmitted light beam, the scanning capture success rate in the case of spot overlap is calculated to obtain the capture time expectation model.
[0081] In one embodiment of the present invention, a capture time expectation model is established in this step.
[0082] First, determine the scanning plane. On the scanning plane perpendicular to the true pointing line between satellite A and satellite B and passing through satellite B, calculate the scanning capture probability and scanning capture time.
[0083] The present invention uses an equal pitch helical step scanning scheme, and the variable parameter is the scanning step length. , when the beam divergence angle Once determined, the scan step size is determined by the step size factor Decide. and Respectively represent the scanning of the first The position coordinates of the step. On the scanning plane, the model of the equal helical scanning trajectory is:
[0084]
[0085] Then, a theoretical analysis model of scanning time with respect to scanning step length is established. The actual light intensity reaching the scanning plane is affected by path loss and pointing loss, and the expression is:
[0086]
[0087] in, It represents the optical power after transmission attenuation. Indicates the radial distance from the detector to the center of the beam on the scanning plane, It represents the laser beam waist width, which is equal to the optical aperture of the laser communication system. represents the laser wavelength, Indicates the launch distance The changing beam radius and the intensity at the center of the beam The width of the beam is called the nominal beam width, defined as is the light intensity at the center of the beam.
[0088] Beam jitter causes the beam to deviate from the predetermined scanning point, causing the radial distance from the detector to the center of the beam to increase. The off-axis loss changes accordingly. Under the far-field assumption, only the displacement on the detector plane perpendicular to the line connecting the transmitting and receiving terminals is considered. And the jitter of the transmitting end beam is equivalent to the beam remaining stationary, and the position of the detector moves in the opposite direction. and Disturbance displacement in direction Independent of each other, all obey the same, mean value is 0, beam jitter variance is Normal distribution At a certain sampling moment of the step scan, assuming that the initial position of the detector is , the distance from the initial position to the center of the beam is The distance from the detector to the center of the beam is superimposed on the beam disturbance After that, the formula changed to:
[0089]
[0090] When the initial position In the case of The probability density of follows the Rice distribution, and the formula is as follows. Define the variable It represents the square of the distance from the detector to the center of the beam.
[0091] The distribution of the distances from the receiving detectors at various positions on the scanning plane in S3-1 to the center of the light spot at different times is:
[0092]
[0093] in, is the probability density function, is the square of the distance from the detector to the center of the beam, is the radian root mean square value of beam jitter, is the distance from the detector to the center of the beam without jitter, is the modified zero-order Bessel function of the first kind;
[0094]
[0095]
[0096] in, is the initial position of the receiving detector, is a disturbed beam.
[0097] The intensity of light received by the detector varies with the random change of the distance from the detector to the center of the beam. The random change of light intensity caused by beam jitter is also called light intensity flicker. The initial position is The detector is superimposed on In both directions After the beam is shaken, the probability density function of the light intensity is for . It depicts the fluctuation of the received light intensity under beam jitter. yes is a monotonically decreasing function of is a monotonically decreasing function. So the inverse function Existence. Light intensity distribution It is a bounded distribution, the lower bound is 0, and the upper bound is the light intensity at the center of the beam .
[0098] The distribution of the light intensity value received by the receiving detector in S3-2 is:
[0099]
[0100] in, To receive the light intensity value, is the varying beam radius, is the launch distance, is the light intensity at the center of the beam;
[0101]
[0102] in, is the laser beam waist width, is the laser wavelength.
[0103] The emitted light beam irradiates the receiving detector, which undergoes photoelectric conversion and generates an electrical signal response. The photoelectric conversion efficiency is The photocurrent signal generated by the light beam The distribution is shown below. The energy on the detector surface can be considered to be uniformly distributed.
[0104]
[0105] The noise of the receiving detector depends on the bandwidth and the effective value of the noise power. The sensor noise can be modeled as having an average value of , the variance is Gaussian process. Variance The noise power can be calculated based on the effective value of It is assumed that the sensor noise is independent of space and time, and that the noise distribution of the beam irradiating and not irradiating the detector is the same.
[0106]
[0107] The photocurrent signal distribution formula and variance Substituting into the formula, we get the initial position as The receiving detector response Distribution of responses per sampling period under conditions of beam jitter and sensor noise .
[0108] The distribution of the output value of the receiving detector in S3-3 is:
[0109]
[0110] in, To receive the detector response, is the photoelectric conversion efficiency, is the photocurrent signal generated by the light beam, is the RMS value of the sensor noise, is the effective value of noise power;
[0111]
[0112]
[0113] in, is the electron charge, is the electrical bandwidth of the sensor.
[0114] Threshold About sensor noise and false alarm probability In practical applications, the false alarm probability Usually a value specified by the user. At a lower level, to avoid false alarm events triggering subsequent frequency synchronization actions resulting in time waste.
[0115] The detection probability of the light beam at the receiving end It represents the probability of correctly judging the received light beam. Combined with the response probability density of the detector, we get the expression of detection probability.
[0116] The probability of the receiving end responding to the transmitted light beam in S3-4 is for:
[0117]
[0118] in, is the threshold value, is the complement of the error function;
[0119]
[0120] in, is the false probability, is the complementary error function, is the mean value of the sensor noise.
[0121] In a scanning scheme, the beams will partially overlap. Calculate the distance from the detector to the center of several beams that ideally cover the detector. .Will Substitute into the formula In the above example, the detection probability of the detector for each scanning beam is calculated separately. When considering the overlap between multiple beams, the cumulative detection probability of the detector for the received beam is .
[0122] Detector in position The spatial pointing acquisition time expectation of multiple scans is The expression is as follows. When is very large, the following simplification can be performed. Consider multiple scans, for the scan plane Positionally, there are multiple scan times expected as follows.
[0123] Scanning area on the scanning plane Inside, yes Calculate the two-dimensional integral to obtain the expected acquisition time in the scanning area The initial position of the detector follows a Gaussian distribution in the scanning plane. .
[0124] In S3-5, the scanning capture success rate under the condition of spot overlap is calculated to obtain the capture time expectation model , the calculation formula is:
[0125]
[0126] in, is the scanning area on the scanning plane, is the initial position of the detector in the scanning plane The internal distribution follows a Gaussian distribution. is the expected calculation formula, The time for multiple repeated scans;
[0127]
[0128] in, is the cumulative detection probability of the receiving detector for the received beam, is the number of rounds of the current scan, is the total number of scanning rounds, The time when the scanning program execution ends. Scanned by the scanning program Estimated scan time for the location;
[0129]
[0130] in, It is the distance from the receiving detector to the center of several light beams that can ideally cover the detector.
[0131] In the S4, the capture time expectation model is used to optimize the equal spiral line scanning step length, and the method is: based on the capture time expectation model, a genetic algorithm is used to solve the optimal equal spiral line scanning step length.
[0132] like Figure 2 As shown in the figure, the expected capture time model includes factors such as platform micro-vibration, received signal, background noise, and also includes the scanning step size factor. There is an optimal scanning step size to achieve high-probability fast scanning capture. Because the scanning step size is too large, the scanning spots are sparsely distributed, and the capture probability of the area between the scanning spots is low, which leads to the need for repeated scanning and a longer capture time expectation. The scanning step size is too small and the scanning speed is slow, which also leads to a longer capture time.
[0133] Since the model of scanning capture time with respect to scanning step length is relatively complex, it is necessary to solve the optimal scanning step length by numerical optimization. The present invention uses a genetic algorithm to solve the optimal scanning step length. , and avoid falling into the local optimal solution through multiple random initializations. Substituting the equal helical scanning trajectory model into the fast scanning solution, Figure 3 shown.
[0134] During scanning and capturing, satellite A scans satellite B and executes the fast scanning solution obtained in step 4. Satellite B stares at satellite A. At a certain step, the beam emitted by satellite A scans satellite B, and satellite B also determines that it has received the beam, completing laser capture. Then, through steps such as two-way precise tracking and aiming, a two-way stable laser link is established.
[0135] Compared with the existing methods, this method fully considers the impact of the reduction of the received signal-to-noise ratio on scanning capture when optimizing the scanning step length. Therefore, by optimizing the scanning step length according to the method proposed in the present invention, a higher capture success rate and a shorter capture time can be achieved when scanning and capturing under low signal-to-noise ratio.
[0136] The present invention achieves high-probability and fast space laser link capture by optimizing the scanning step length. Since the response of the receiving detector can reflect factors such as path loss, beam jitter, and background noise, it has the advantages of high-precision and multi-variable modeling. A capture model is established based on the response distribution of the receiving detector, which can reflect the influence of beam jitter on scanning capture under different receiving signal-to-noise ratios. The scanning step length is optimized according to the change relationship of the capture time with respect to the scanning step length, and the optimal trade-off between the capture probability and the scanning speed is achieved. Thus, high-probability and fast laser capture can be achieved in an environment with low signal-to-noise ratio and beam jitter.
[0137] Those skilled in the art will appreciate that the embodiments described herein are intended to help readers understand the principles of the present invention, and should be understood that the protection scope of the present invention is not limited to such specific statements and embodiments. Those skilled in the art can make various other specific variations and combinations that do not deviate from the essence of the present invention based on the technical revelations disclosed by the present invention, and these variations and combinations are still within the protection scope of the invention.
Claims
1. A method for high-probability and rapid capture of interstellar lasers based on scanning step optimization, characterized in that: The following steps are involved: S1: With satellite A as the active scanner and satellite B as the passive gazer, the initial mutual pointing between satellite A and satellite B is established; S2: Based on the initial mutual pointing of satellite A and satellite B, the pointing error and scanning area range are calculated; S3: Based on the pointing error and the scanning area, the expected capture time model of the intersatellite laser is established; The S3 includes the following sub-steps: S3-1: Calculate the distribution of the distance from the receiving detector at each position on the scanning plane to the center of the light spot at different times in the presence of initial off-axis and two-dimensional jitter of the scanning light spot; S3-2: Calculate the distribution of the light intensity value received by the receiving detector according to the change of the distance from the receiving detector to the center of the light spot; S3-3: Calculate the distribution of the output value of the receiving detector based on the distribution of the light intensity value received by the receiving detector and the signal and noise output by the receiving detector; S3-4: Based on the distribution of the output value of the receiving detector, the probability that the output value of the receiving detector is greater than the threshold is calculated and used as the response probability of the receiving end to the transmitted light beam; S3-5: setting the scanning step length so that adjacent scanning spots partially overlap, and calculating the scanning capture success rate in the case of spot overlap based on the response probability of the receiving end to the transmitted light beam, and obtaining the capture time expectation model; S4: The capture time expectation model is used to optimize the equal helix scanning step size, and scanning capture is performed based on the equal helix scanning strategy after the optimized step size, completing the high probability and rapid capture of interstellar lasers based on the scanning step size optimization.
2. The method for high probability and rapid capture of interstellar laser based on scanning step optimization according to claim 1, characterized in that: In S1, satellite A adjusts the optical turntable to point to satellite B according to its own position and the position of satellite B in the ephemeris data, and satellite B adjusts the optical turntable to point to satellite A, thereby establishing the initial pointing of satellite A and satellite B to each other.
3. The method for high probability and rapid capture of interstellar laser based on scanning step optimization according to claim 1, characterized in that: The calculation formula of the pointing error in S2 is: in, is the standard deviation of the pointing error, is the relative position error caused by the satellite’s orbit error, is the satellite attitude control error, is the installation error of the optical terminal relative to the satellite body coordinate system; The scanning area range The calculation formula is: 。 4. The method for high probability and rapid capture of interstellar laser based on scanning step optimization according to claim 1, characterized in that: The distribution of the distances from the receiving detectors at various positions on the scanning plane in S3-1 to the center of the light spot at different times is: in, is the probability density function, is the square of the distance from the detector to the center of the beam, is the radian root mean square value of beam jitter, is the distance from the detector to the center of the beam without jitter, is the modified zero-order Bessel function of the first kind; in, is the initial position of the receiving detector, To disturb the beam.
5. The method for high probability and rapid capture of interstellar lasers based on scanning step optimization according to claim 4, characterized in that: The distribution of the light intensity value received by the receiving detector in S3-2 is: in, To receive the light intensity value, is the varying beam radius, is the launch distance, is the light intensity at the center of the beam; in, is the laser beam waist width, is the laser wavelength.
6. The method for high probability and rapid capture of interstellar lasers based on scanning step optimization according to claim 5, characterized in that: The distribution of the output value of the receiving detector in S3-3 is: in, To receive the detector response, is the photoelectric conversion efficiency, is the photocurrent signal generated by the light beam, is the RMS value of the sensor noise, is the effective value of noise power; in, is the electron charge, is the electrical bandwidth of the sensor.
7. The method for high probability and rapid capture of interstellar lasers based on scanning step optimization according to claim 6, characterized in that: The probability of the receiving end responding to the transmitted light beam in S3-4 is for: in, is the threshold value, is the complement of the error function; in, is the false probability, is the complementary error function, is the mean value of the sensor noise.
8. The method for high probability and rapid capture of interstellar lasers based on scanning step optimization according to claim 7, characterized in that: In S3-5, the scanning capture success rate under the condition of spot overlap is calculated to obtain the capture time expectation model , the calculation formula is: in, is the scanning area on the scanning plane, is the initial position of the detector in the scanning plane The internal distribution follows Gaussian distribution. is the expected calculation formula, The time for multiple repeated scans; in, is the cumulative detection probability of the receiving detector for the received beam, is the number of rounds of the current scan, is the total number of scanning rounds, The time when the scanning program execution ends. Scanned by the scanning program Estimated scan time for the location; in, It is the distance from the receiving detector to the center of several light beams that can ideally cover the detector.
9. The method for high probability and rapid capture of interstellar laser based on scanning step optimization according to claim 1, characterized in that: In the S4, the capture time expectation model is used to optimize the equal spiral line scanning step length, and the method is: based on the capture time expectation model, a genetic algorithm is used to solve the optimal equal spiral line scanning step length.
Citation Information
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