Spectrum modulation system optimization design method based on spectrum simulation precision influence mechanism
By simulating the minimum unit of spectral simulation through the principle of spectral superposition and Gaussian distribution model, the design of the spectral modulation system is optimized, the problem of limited spectral simulation accuracy is solved, and high-precision spectral simulation effect is achieved.
Patent Information
- Application Number
- CN202511106406.2
- Authority / Receiving Office
- CN · China
- Patent Type
- Applications(China)
- Current Assignee / Owner
- Filing Date
- 2025-08-08
- Publication Date
- 2025-09-12
- Estimated Expiration
- Not applicable · inactive patent
AI Technical Summary
In existing technologies, the accuracy of spectral simulation is limited by the unclear relationship between the characteristics of the minimum unit spectral band (half-maximum width and peak interval) of spectral simulation, resulting in a lack of basis for the design of spectral modulation systems and difficulty in achieving high-precision simulation of the spectrum of stars of arbitrary color temperature.
Based on the principle of spectral superposition, the Gaussian distribution model is used to simulate the minimum unit of spectral simulation, different half-peak widths and peak intervals are set, the radiation coefficient is adjusted to simulate the spectral curve, and the design of the spectral modulation system is optimized.
It provides a scientific reference standard, improves the spectral simulation accuracy of the spectral modulation system, breaks through the limitations of traditional design, realizes the effective control of spectral simulation errors in the color temperature range of 3000K-9000K, and significantly improves the spectral simulation accuracy.
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Figure CN120633246A_ABST
Abstract
Description
Technical Field
[0001] The present invention relates to the field of optical testing technology, and in particular to a spectrum modulation system optimization design method based on a spectrum simulation accuracy influencing mechanism. Background Art
[0002] Spectral modulation systems are central to simulating the optical radiation characteristics of stars. Excellent imaging quality and resolution are prerequisites and essential conditions for accurately simulating stellar spectral information. Spectral simulation is based on the classical theory of spectral superposition. However, the mechanisms by which different color temperature spectral shape reconstruction methods affect simulation accuracy remain incompletely studied. The relationship between the characteristics of the smallest unit spectral band (full width at half maximum and peak interval) and simulation accuracy remains unclear. This results in a lack of design basis for the peak wavelength resolution of spectral modulation when designing spectral modulation systems, hindering further improvements in simulation accuracy and making it difficult to simulate the spectra of stars at arbitrary color temperatures.
[0003] Therefore, it is necessary to invent a spectrum modulation system optimization design method based on the influencing mechanism of spectrum simulation accuracy to solve the above problems. Summary of the Invention
[0004] The purpose of the present invention is to provide a spectrum modulation system optimization design method based on the spectrum simulation accuracy influencing mechanism.
[0005] In order to achieve the above object, the present invention provides the following technical solutions: The spectrum modulation system optimization design method based on the influence mechanism of spectrum simulation accuracy includes the following steps:
[0006] S1. Based on the principle of spectral superposition, the Gaussian distribution model is used to simulate the minimum unit of spectrum simulation. The formula is:
[0007] ;
[0008] in is the peak wavelength; is the proportionality coefficient; is the half-peak width coefficient;
[0009] S2. Set different and The spectrum simulation minimum unit with different half-peak width and peak interval is simulated, the radiation coefficient of each unit is adjusted to control the energy, and the spectrum superposition formula is used for mathematical superposition to realize the spectrum curve simulation. The spectrum superposition formula is:
[0010] ;
[0011] S3. Taking the minimum unit of spectrum simulation with a peak interval of 10nm as the quantitative value, set the half-peak width to 10nm, 20nm and 50nm, simulate the typical color temperature spectrum curve in the color temperature range of 3000K-9000K, and analyze the impact of the half-peak width on the accuracy of spectrum simulation;
[0012] S4. Select the peak interval to be 5nm and 20nm, set the half-peak width to be 10nm, 20nm, and 50nm, analyze the typical color temperature spectrum curve of 3000K-9000K, and analyze the influence of the peak interval on the spectrum simulation accuracy;
[0013] S5. Based on the above-mentioned influencing mechanism, optimize the design of the spectrum modulation system.
[0014] Specifically, in step S3, when the peak interval is constant, the wider the half-peak width, the higher the spectral simulation accuracy, wherein the spectral simulation error is less than 6.6% when the half-peak width is 10nm, and the errors are both less than 1% when the half-peak width is 20nm and 50nm.
[0015] Specifically, in step S4, when the peak interval is 5nm and the half-peak width is 10nm, 20nm and 50nm, the spectral simulation error in the color temperature range of 3000K-9000K is less than 1%; when the peak interval is 20nm and the half-peak width is 10nm, the error is less than 58%, when the half-peak width is 20nm, the error is less than 6.8%, and when the half-peak width is 50nm, the error is less than 1%.
[0016] Specifically, in step S4, when the half-maximum width is constant, the smaller the peak interval is, the higher the spectrum simulation accuracy is.
[0017] Beneficial effects:
[0018] This application quantifies the relationship between the half-peak width and peak interval and the spectral simulation accuracy. For example, when the peak interval is 10nm, the spectral simulation error is less than 6.6% when the half-peak width is 10nm, and the error is less than 1% when the half-peak width is 20nm and 50nm. These specific data provide scientific and accurate reference standards for the design of peak wavelength resolution of spectral modulation systems, helping designers optimize spectral modulation systems, break through the limitations of traditional designs, and improve the overall performance of the system.
[0019] By simulating typical color temperature spectral curves within the 3000K-9000K color temperature range, this application achieves effective control of spectral simulation errors. When the peak spacing is 5nm, and the half-width at half-maximum is 10nm, 20nm, and 50nm, the spectral simulation error within this color temperature range is less than 1%. When the peak spacing is 20nm, the error is also less than 1% when the half-width at half-maximum is 50nm. Compared with traditional methods, this significantly improves the accuracy of spectral simulation and can more accurately reproduce the optical radiation characteristics of stars. BRIEF DESCRIPTION OF THE DRAWINGS
[0020] Figure 1 Schematic diagram of the minimum unit spectral radiation distribution curve of the ideal Gaussian spectrum simulation with different half-maximum widths shown in the present invention;
[0021] Figure 2 This is a graph showing the simulation results of a color temperature of 3000K with a peak interval of 10nm and a half-peak width of 10nm, 20nm, and 50nm as shown in the present invention;
[0022] Figure 2 (a) is a diagram showing the simulation results of a color temperature of 3000K with a peak interval of 10nm and a half-peak width of 10nm shown in the present invention;
[0023] Figure 2 (b) is a diagram showing the simulation result of a color temperature of 3000K with a peak interval of 10nm and a half-peak width of 20nm as shown in the present invention;
[0024] Figure 2 (c) is a graph showing the simulation result of a color temperature of 3000K with a peak interval of 10nm and a half-peak width of 50nm as shown in the present invention;
[0025] Figure 3 This is a graph showing the simulation results of a 6000K color temperature with a peak interval of 10nm and a half-peak width of 10nm, 20nm, and 50nm as shown in the present invention;
[0026] Figure 3 (a) is a graph showing the simulation results of a color temperature of 6000K with a peak interval of 10nm and a half-peak width of 10nm shown in the present invention;
[0027] Figure 3 (b) is a graph showing the simulation result of a color temperature of 6000K with a peak interval of 10nm and a half-peak width of 20nm as shown in the present invention;
[0028] Figure 3 (c) is a graph showing the simulation result of a color temperature of 6000K with a peak interval of 10nm and a half-peak width of 50nm as shown in the present invention;
[0029] Figure 4This is a graph showing the simulation results of a color temperature of 9000K with a peak interval of 10nm and a half-peak width of 10nm, 20nm, and 50nm as shown in the present invention;
[0030] Figure 4 (a) is a diagram showing the simulation results of a color temperature of 9000K with a peak interval of 10nm and a half-peak width of 10nm shown in the present invention;
[0031] Figure 4 (b) is a graph showing the simulation result of a color temperature of 9000K with a peak interval of 10nm and a half-peak width of 20nm as shown in the present invention;
[0032] Figure 4 (c) is a graph showing the simulation result of a color temperature of 9000K with a peak interval of 10nm and a half-peak width of 50nm as shown in the present invention;
[0033] Figure 5 This is a diagram showing the simulation results of a 3000K color temperature under the conditions of a peak interval of 5nm and a half-peak width of 10nm, 20nm, and 50nm as shown in the present invention;
[0034] Figure 5 (a) is a diagram showing the simulation results of a color temperature of 3000K with a peak interval of 5nm and a half-peak width of 10nm according to the present invention;
[0035] Figure 5 (b) is a graph showing the simulation result of a color temperature of 3000K with a peak interval of 5nm and a half-peak width of 20nm as shown in the present invention;
[0036] Figure 5 (c) is a graph showing the simulation result of a color temperature of 3000K with a peak interval of 5nm and a half-peak width of 50nm as shown in the present invention;
[0037] Figure 6 This is a diagram showing the simulation results of a 3000K color temperature under the conditions of a peak interval of 20nm and a half-peak width of 10nm, 20nm, and 50nm as shown in the present invention;
[0038] Figure 6 (a) is a diagram showing the simulation results of a color temperature of 3000K with a peak interval of 20nm and a half-peak width of 10nm as shown in the present invention;
[0039] Figure 6 (b) is a graph showing the simulation result of a color temperature of 3000K with a peak interval of 20nm and a half-peak width of 20nm shown in the present invention;
[0040] Figure 6 (c) is a graph showing the simulation result of a color temperature of 3000K with a peak interval of 20nm and a half-peak width of 50nm as shown in the present invention;
[0041] Figure 7 This is a graph showing the simulation results of a 6000K color temperature under the conditions of a peak interval of 5nm and a half-peak width of 10nm, 20nm, and 50nm as shown in the present invention;
[0042] Figure 7 (a) is a graph showing the simulation results of a color temperature of 6000K with a peak interval of 5nm and a half-peak width of 10nm as shown in the present invention;
[0043] Figure 7 (b) is a graph showing the simulation result of a color temperature of 6000K with a peak interval of 5nm and a half-peak width of 20nm as shown in the present invention;
[0044] Figure 7 (c) is a graph showing the simulation result of a color temperature of 6000K with a peak interval of 5nm and a half-peak width of 50nm as shown in the present invention;
[0045] Figure 8 This is a graph showing the simulation results of a 6000K color temperature under the conditions of a peak interval of 20nm and a half-peak width of 10nm, 20nm, and 50nm as shown in the present invention;
[0046] Figure 8 (a) is a graph showing the simulation results of a color temperature of 6000K with a peak interval of 20nm and a half-peak width of 10nm as shown in the present invention;
[0047] Figure 8 (b) is a graph showing the simulation result of a color temperature of 6000K with a peak interval of 20nm and a half-peak width of 20nm as shown in the present invention;
[0048] Figure 8 (c) is a graph showing the simulation result of a color temperature of 6000K with a peak interval of 20nm and a half-peak width of 50nm as shown in the present invention;
[0049] Figure 9 This is a graph showing the simulation results of a 9000K color temperature under the conditions of a peak interval of 5nm and a half-peak width of 10nm, 20nm, and 50nm as shown in the present invention;
[0050] Figure 9 (a) is a graph showing the simulation results of a color temperature of 9000K with a peak interval of 5nm and a half-peak width of 10nm as shown in the present invention;
[0051] Figure 9 (b) is a graph showing the simulation result of a color temperature of 9000K with a peak interval of 5nm and a half-peak width of 20nm as shown in the present invention;
[0052] Figure 9 (c) is a graph showing the simulation results of a color temperature of 9000K with a peak interval of 5nm and a half-peak width of 50nm as shown in the present invention;
[0053] Figure 10 This is a diagram showing the simulation results of a 9000K color temperature under the conditions of a peak interval of 20nm and a half-peak width of 10nm, 20nm, and 50nm as shown in the present invention;
[0054] Figure 10 (a) is a graph showing the simulation results of a color temperature of 9000K with a peak interval of 20nm and a half-peak width of 10nm as shown in the present invention;
[0055] Figure 10 (b) is a graph showing the simulation result of a color temperature of 9000K with a peak interval of 20nm and a half-peak width of 20nm as shown in the present invention;
[0056] Figure 10 (c) is a diagram showing the simulation results of a color temperature of 9000K with a peak interval of 20nm and a half-peak width of 50nm as shown in the present invention. DETAILED DESCRIPTION
[0057] The technical solution of the present invention will be described clearly and completely below in conjunction with the accompanying drawings. Obviously, the embodiments described are some embodiments of the present invention, not all embodiments. Based on the embodiments of the present invention, all other embodiments obtained by persons of ordinary skill in the art without inventive effort shall fall within the scope of protection of the present invention. In the description of the present invention, it should be noted that the terms "center," "upper," "lower," "left," "right," "vertical," "horizontal," "inner," "outer," etc., indicating orientations or positional relationships, are based on the orientations or positional relationships shown in the accompanying drawings and are intended only to facilitate the description of the present invention and simplify the description. They do not indicate or imply that the devices or components referred to must have a specific orientation, be constructed, or operate in a specific orientation, and therefore should not be construed as limiting the present invention. In addition, the terms "first," "second," and "third" are used for descriptive purposes only and should not be construed as indicating or implying relative importance. In the description of the present invention, it should be noted that, unless otherwise expressly specified or limited, the terms "mounted," "connected," and "connected" should be understood in a broad sense. For example, they can mean fixed connection, detachable connection, or integral connection; mechanical connection or electrical connection; direct connection or indirect connection through an intermediate medium; or internal communication between two components. For those skilled in the art, the specific meanings of the above terms in the present invention can be understood in specific circumstances. In addition, the technical features involved in the different embodiments of the present invention described below can be combined with each other as long as they do not conflict with each other.
[0058] An embodiment of the present application provides a method for optimizing the design of a spectral modulation system based on the mechanism affecting spectral simulation accuracy. Starting from the spectral band characteristics (half-maximum width and peak interval) of the minimum unit of spectral simulation, combined with the principle of spectral superposition, a simulation analysis is performed to determine how they affect the spectral simulation accuracy, thereby optimizing the design of the spectral modulation system.
[0059] Since the spectrum shape of the smallest unit of spectrum simulation is mostly Gaussian distribution model, this application uses Gaussian distribution model to simulate the smallest unit of spectrum simulation. ,but It can be expressed as
[0060] ; (1-1)
[0061] Where, is the peak wavelength; is the proportionality coefficient; is the half-peak width coefficient.
[0062] By setting different and value, simulate the spectrum simulation minimum unit with different half-peak width and peak interval; then adjust the radiation coefficient of different single spectrum simulation minimum units , controls the energy of the smallest unit of different spectral simulations, that is Finally, the spectrum superposition formula is used to mathematically superimpose different spectrum simulation units to realize the simulation of the spectrum curve. The spectrum superposition formula is:
[0063] ; (1-2)
[0064] The spectral radiation distribution curves of the ideal Gaussian spectrum simulation unit with different half-peak widths are as follows Figure 1 shown.
[0065] In order to more universally study the influence of half-maximum width and peak interval on the accuracy of spectral simulation, the range of half-maximum width and peak interval of the minimum unit of spectral simulation in the current spatial light modulation technology is summarized. It can be seen that the half-maximum width of the minimum unit of spectral simulation is mainly distributed between 5nm-50nm, and the peak interval of the minimum unit of spectral simulation is mainly distributed between 2nm-25nm.
[0066] Therefore, in order to see the influence of the two dimensions of the half-peak width of the minimum unit of spectral simulation and the peak interval between the minimum units of spectral simulation on the accuracy of spectral simulation, the peak intervals of 5nm, 10nm and 20nm, and the half-peak widths of 10nm, 20nm and 50nm were selected, and the spectral simulation accuracy was analyzed from the two perspectives of the half-peak width of the minimum unit of spectral simulation and the peak interval between the minimum units of spectral simulation. The specific methods are as follows:
[0067] (1) Analysis of the influence of the minimum unit half-peak width of spectral simulation on the accuracy of spectral simulation
[0068] The minimum unit of spectral simulation with a peak interval of 10nm was selected, and the half-peak width was taken as 10nm, 20nm and 50nm respectively. The three typical color temperature spectral curves of 3000K, 6000K and 9000K in the color temperature range of 3000K-9000K were simulated. Finally, the target spectrum and the simulated spectrum were normalized and compared and analyzed.
[0069] 1. 3000K color temperature spectrum curve simulation results
[0070] When the peak interval is 10nm and the half-peak width is 10nm, 20nm and 50nm, the simulation results of the 3000K color temperature spectrum curve are as follows: Figure 2 shown.
[0071] 2. 6000K color temperature spectrum curve simulation results
[0072] When the peak interval is 10nm and the half-peak width is 10nm, 20nm and 50nm, the simulation results of the 6000K color temperature spectrum curve are as follows: Figure 3 shown.
[0073] 3. 9000K color temperature spectrum curve simulation results
[0074] When the peak interval is 10nm and the half-peak width is 10nm, 20nm and 50nm, the simulation results of the 9000K color temperature spectrum curve are as follows: Figure 4 shown.
[0075] Figure 2-4 In the color temperature range of 3000K-9000K, the spectrum simulation errors of three typical color temperatures of 3000K, 6000K and 9000K are shown in Table 1.
[0076]
[0077] According to Table 1, when simulating the smooth spectrum, the spectrum simulation error is less than 6.6% when the half-peak width is 10nm, and the spectrum simulation error is less than 1% when the half-peak width is 20nm and 50nm. Figure 2 (b), 2(c), 3(b), 3(c) and Figure 4 As can be seen from (b) and (c), spectral simulation within the 3000K-9000K color temperature range is possible with both 20nm and 50nm FWHM, and there is no significant difference in the spectral simulation curves. This analysis shows that, when the peak interval is constant, the wider the FWHM, the higher the spectral simulation accuracy.
[0078] (2) Analysis of the influence of the minimum unit peak interval of spectral simulation on the spectral simulation accuracy
[0079] Taking three typical color temperatures of 3000K, 6000K and 9000K in the color temperature range of 3000K-9000K as examples, the peak interval of 5nm, half-peak width of 10nm, 20nm, 50nm and the peak interval of 20nm, half-peak width of 10nm, 20nm, 50nm were selected for analysis respectively.
[0080] 1. 3000K color temperature spectrum curve simulation results
[0081] When the peak interval is 5nm and 20nm, and the half-peak width is 10nm, 20nm and 50nm, the simulation results of the 3000K color temperature spectrum curve are as follows: Figure 5 and Figure 6 shown.
[0082] 2. 6000K color temperature spectrum curve simulation results
[0083] When the peak interval is 5nm and 20nm, and the half-peak width is 10nm, 20nm and 50nm, the simulation results of the 6000K color temperature spectrum curve are as follows: Figure 7 and Figure 8 shown.
[0084] 3. 9000K color temperature spectrum curve simulation results
[0085] When the peak interval is 5nm and 20nm, and the half-peak width is 10nm, 20nm and 50nm, the simulation results of the 9000K color temperature spectrum curve are as follows: Figure 9 and Figure 10 shown.
[0086] Figure 5-10 In the color temperature range of 3000K-9000K, the spectrum simulation errors of three typical color temperatures of 3000K, 6000K and 9000K are shown in Tables 2 and 3.
[0087]
[0088]
[0089] According to Tables 2 and 3, when the peak interval is 5 nm, regardless of the half-peak width of 10 nm, 20 nm or 50 nm, the spectral simulation error in the color temperature range of 3000K-9000K is less than 1%; when the peak interval is 20 nm, when the half-peak width is 10 nm, the spectral simulation error in the color temperature range of 3000K-9000K is less than 58%; when the half-peak width is 20 nm, the spectral simulation error in the color temperature range of 3000K-9000K is less than 6.8%; when the half-peak width is 50 nm, the spectral simulation error in the color temperature range of 3000K-9000K is less than 1%. It can be seen from the data with a peak interval of 20 nm that the larger the half-peak width, the higher the spectral simulation accuracy. When the half-peak width is 50nm, regardless of the peak interval of 5nm, 10nm, or 20nm, spectral simulation within the color temperature range of 3000K-9000K can be well achieved. Although the smaller the peak interval, the higher the spectral modulation capability, according to the simulation results, it can be seen that there is no difference in the spectral simulation accuracy when the peak interval is 5nm, 10nm, and 20nm.
[0090] However, it is worth noting that the spectral simulation accuracy is high in the three cases of half-peak width of 10nm and peak interval of 10nm, half-peak width of 10nm and peak interval of 20nm, and half-peak width of 20nm and peak interval of 20nm. When the half-peak width of the minimum unit of spectral simulation is constant, the smaller the peak interval, the higher the spectral simulation accuracy. Figure 2 (a) and Figure 6 (a) Figure 3 (a) and Figure 8 (a) Figure 4 (a) and Figure 10 (a) This is because the half-peak width is constant and the peak interval is large, so the position in the middle of the minimum unit of spectral simulation cannot be covered during modulation, resulting in insufficient modulation capability of the system.
[0091] Therefore, according to the above analysis, due to the smooth nature of the stellar spectral curve, the main factor affecting the accuracy of spectral simulation is the peak interval between the minimum units of spectral simulation, rather than the spectral half-peak width. Therefore, for the simulation of stellar color temperature spectral curve, it is necessary to improve the system's beam splitting capability, that is, the peak interval between the minimum units of spectral simulation, while the requirement for the spectral half-peak width of the minimum unit of spectral simulation, that is, the monochromaticity requirement of the minimum unit beam of spectral simulation, can be relaxed.
[0092] In summary, the peak wavelength resolution of the spectral modulation system is the peak interval of the smallest unit of spectral simulation in the above analysis process. Therefore, when designing the spectral modulation system, the requirements for the spectral half-peak width can be reduced, and the system's spectral splitting capability can be improved, thereby improving the spectral simulation accuracy of the spectral modulation system and achieving an optimized design of the spectral modulation system.
[0093] The technical features of the above-mentioned embodiments can be combined arbitrarily. In order to make the description concise, not all possible combinations of the technical features in the above-mentioned embodiments are described. However, as long as there is no contradiction in the combination of these technical features, they should be considered to be within the scope of this specification.
[0094] The above-described embodiments merely illustrate several implementations of the present invention, and while their descriptions are relatively specific and detailed, they should not be construed as limiting the scope of the patent. It should be noted that a person skilled in the art would be able to make numerous variations and improvements without departing from the spirit of the present invention, all of which fall within the scope of protection of the present invention. Therefore, the scope of protection of the patent for this invention shall be determined by the appended claims.
Claims
1. A spectrum modulation system optimization design method based on the influence mechanism of spectrum simulation accuracy, characterized by: The following steps are involved: S1. Based on the principle of spectral superposition, the Gaussian distribution model is used to simulate the minimum unit of spectrum simulation. The formula is: ; in is the peak wavelength; is the proportionality coefficient; is the half-peak width coefficient; S2. Set different and value, simulate the spectrum simulation minimum unit with different half-peak width and peak interval; then adjust the radiation coefficient of different single spectrum simulation minimum units , controls the energy of the smallest unit of different spectral simulations, that is Finally, the spectrum superposition formula is used to mathematically superimpose different spectrum simulation units to realize the simulation of the spectrum curve. The spectrum superposition formula is: ; S3. Taking the minimum unit of spectrum simulation with a peak interval of 10nm as the quantitative value, set the half-peak width to 10nm, 20nm and 50nm, simulate the typical color temperature spectrum curve in the color temperature range of 3000K-9000K, and analyze the impact of the half-peak width on the accuracy of spectrum simulation; S4. Select the peak interval to be 5nm and 20nm, set the half-peak width to be 10nm, 20nm, and 50nm, analyze the typical color temperature spectrum curve of 3000K-9000K, and analyze the influence of the peak interval on the spectrum simulation accuracy; S5. Based on the above-mentioned influencing mechanism, optimize the design of the spectrum modulation system.
2. The spectrum modulation system optimization design method based on the spectrum simulation accuracy influencing mechanism according to claim 1 is characterized in that: In step S3, when the peak interval is constant, the wider the half-peak width, the higher the spectral simulation accuracy, wherein the spectral simulation error is less than 6.6% when the half-peak width is 10nm, and the errors are both less than 1% when the half-peak width is 20nm and 50nm.
3. The spectrum modulation system optimization design method based on the spectrum simulation accuracy influencing mechanism according to claim 1 is characterized in that: In step S4, when the peak interval is 5 nm and the half-peak width is 10 nm, 20 nm and 50 nm, the spectral simulation error in the color temperature range of 3000K-9000K is less than 1%; when the peak interval is 20 nm and the half-peak width is 10 nm, the error is less than 58%, when the half-peak width is 20 nm, the error is less than 6.8%, and when the half-peak width is 50 nm, the error is less than 1%.
4. The spectrum modulation system optimization design method based on the spectrum simulation accuracy influencing mechanism according to claim 1 is characterized in that: In step S4, when the half-maximum width is constant, the smaller the peak interval is, the higher the spectrum simulation accuracy is.