Full-baseline complex coherence degree parallel measurement method of Michelson interferometer

By employing digital image processing methods, parallel measurement of the full baseline complex coherence of a Michelson interferometer was achieved, overcoming the problems of optical path complexity and insufficient robustness in traditional methods. This provides high-precision acquisition of complex coherence information and is suitable for low-light observation conditions.

CN121453201APending Publication Date: 2026-02-03INST OF OPTICS & ELECTRONICS CHINESE ACAD OF SCI
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Patent Information

Application Number
CN202511776404.4
Authority / Receiving Office
CN · China
Patent Type
Applications(China)
Current Assignee / Owner
Filing Date
2025-11-28
Publication Date
2026-02-03

AI Technical Summary

Technical Problem

In existing Michelson interferometry imaging techniques, traditional methods struggle to achieve high-precision, robust parallel measurement of full-baseline complex coherence while maintaining a simple optical path. In particular, the extraction error of complex coherence amplitude information is large and the robustness is poor under dim observation conditions.

Method used

By employing digital image processing methods, frequency domain bandpass filtering, frequency domain upsampling, linear projection integration, and elimination of irrelevant intensity variables of the exit pupil beam of the Michelson interferometer are used to obtain the complex coherence information of all baselines. No additional optical components are required, and parallel measurements are achieved solely through digital image processing.

Benefits of technology

It achieves high-precision, low-complexity full-baseline complex coherence measurement, has strong noise resistance, is suitable for low-light observation scenarios, simplifies the optical path structure, and improves the robustness of the measurement.

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Abstract

The invention discloses a full-baseline complex coherence degree parallel measurement method of a Michelson interferometer, which belongs to the technical field of optical telescopes and realizes parallel measurement of full-baseline complex coherence degree by directly decoupling interference fringes of all baselines through a single-frame image surface speckle image. The method comprises the following specific steps: performing frequency domain band-pass filtering on a collected image surface speckle image; the stripe intensity sampling spacing is refined through frequency domain up-sampling; linear projection integration is carried out along the vertical direction of each base line, and integration signal intensity is collected; eliminating irrelevant variables to obtain interference fringe intensity distribution of all baseline pairs; and finally, measuring the complex coherence degree of each group of stripes by using an ABCD method. The complex coherence degree of all the baseline pairs can be synchronously obtained only through digital image processing without additional optical elements, and the method has the advantages of being simple in structure, high in anti-noise capacity, easy and convenient to operate, good in portability and the like, and is suitable for dark and weak observation scenes.
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Description

Technical Field

[0001] This invention belongs to the field of optical telescope technology, specifically relating to a parallel measurement method for full-baseline complex coherence of a Michelson interferometer. Background Technology

[0002] The resolution of an optical imaging system is limited by its aperture. With a fixed focal length, increasing the aperture is the most direct way to improve imaging resolution. However, due to current limitations in materials, manufacturing processes, and assembly techniques, the size development of single-aperture telescopes faces bottlenecks, and costs are increasing dramatically. To overcome this limitation, the Michelson interferometer, a sparse aperture imaging system, has emerged. It achieves the equivalent resolution of a large-aperture optical system through the interferometric combination of multiple small-aperture sub-apertures. Its imaging resolution depends on the maximum baseline length between the sub-apertures. By interferometrically measuring the target's complex coherence (i.e., visibility function), the target's spectral information in the high-frequency range can be obtained. Then, through image reconstruction algorithms, a high-resolution image is finally obtained.

[0003] In Michelson interferometry, accurately measuring the complex coherence of the interference fringes produced by each pair of sub-apertures (i.e., each baseline) is a prerequisite and key to high-fidelity image reconstruction. Traditional measurement methods mainly fall into two categories: The first is the "paired combination" scheme, which typically uses a beam combiner to interfere beams from two sub-apertures and utilizes the baseline direction changes caused by the Earth's rotation for scanning measurements. However, this method requires complex beam splitting and combining optical paths, and the mechanical stability of the optical path is extremely demanding, making it difficult to maintain phase stability between different baselines over a long period. The second type of method is based on a non-redundant exit pupil arrangement, attempting to directly extract complex coherence information from the frequency domain of the focal plane speckle image after beam combining. Although this method simplifies the optical path structure, its noise resistance is weak. Under observation conditions with weak signals or high noise, the extraction error of complex coherence amplitude information is significant, resulting in poor robustness and limiting its application in practical environments.

[0004] Therefore, there is an urgent need in this field for a new method that can achieve parallel measurement of all baseline complex coherence with high precision and robustness while maintaining optical path simplicity. Summary of the Invention

[0005] To address the aforementioned technical problems, this invention provides a parallel measurement method for the complex coherence of the entire baseline in a Michelson interferometer. This method requires no additional optical components and can synchronously acquire the complex coherence of all baseline pairs through digital image processing alone. It has advantages such as simple structure, strong noise resistance, easy operation, and good portability, and is suitable for low-light observation scenarios.

[0006] To achieve the above objectives, the present invention adopts the following technical solution:

[0007] A parallel measurement method for full-baseline complex coherence of a Michelson interferometer includes:

[0008] Step 1: In the extended target imaging scenario, set the n exit pupils of the Michelson interferometer to a non-parallel baseline arrangement mode, and perform imaging detection on the exit pupil beam of the n-hole Michelson interferometer, where n≥2;

[0009] Step 2: Place the detector on the imaging plane of the Michelson interferometer, acquire the speckle image of the image plane after the interference fringes are superimposed, and perform frequency domain bandpass filtering according to the arrangement pattern of the exit pupil.

[0010] Step 3: Upsample the filtered speckle image in the frequency domain;

[0011] Step 4: Perform linear projection integration on the upsampled speckle image along the vertical direction of each baseline in the exit pupil arrangement, and collect the corresponding integrated signal intensity.

[0012] Step 5: Perform irrelevant intensity variable elimination on each group of integrated signals in sequence to obtain the intensity distribution of decoupled interference fringes of all baselines;

[0013] Step 6: Measure the complex coherence information of each set of decoupled fringes.

[0014] Furthermore, in step 1, the arrangement pattern without parallel baselines is to arrange the n exit pupils on a circle.

[0015] Furthermore, in step 2, the frequency domain bandpass filtering specifically involves: performing cross-correlation calculations based on the exit pupil arrangement to obtain the frequency domain bandpass filter transfer function, and then using this transfer function to perform frequency domain filtering on the image plane speckle image.

[0016] Furthermore, in step 3, the frequency domain upsampling is achieved by performing a Fourier transform on the filtered speckle image to obtain the spectrum, padding the periphery of the spectrum matrix with zeros, and then performing an inverse Fourier transform.

[0017] Furthermore, in step 4, the linear projection integral specifically involves: rotating the upsampled speckle image to the horizontal direction of the current baseline, and then summing the pixel intensities of each row or column in the image that are perpendicular to the baseline direction.

[0018] Furthermore, in step 5, the elimination of irrelevant intensity variables specifically involves: constructing a system of linear equations using the integral signal intensities corresponding to all baselines, and solving this system of equations to eliminate crosstalk between other baselines and the current baseline integral signal.

[0019] Furthermore, in step 6, the complex coherence information of each set of decoupled fringes is measured using the ABCD phase measurement method.

[0020] Furthermore, the method processes the single-frame imaging speckle image after the interferometer exit pupil beams are combined to obtain the fringe intensity distribution of all baselines at once.

[0021] On the other hand, the present invention provides an electronic device including a memory, a processor, and a computer program stored in the memory and executable on the processor, wherein the processor executes the program to implement the aforementioned method for parallel measurement of full baseline complex coherence of a Michelson interferometer.

[0022] Thirdly, the present invention provides a non-transitory computer-readable storage medium having a computer program stored thereon, which, when executed by a processor, implements the aforementioned method for parallel measurement of full baseline complex coherence of a Michelson interferometer.

[0023] The present invention has the following beneficial effects:

[0024] This invention provides a parallel measurement method for the full baseline complex coherence of a Michelson interferometer. It requires no other beam splitting components and only needs to process the single-frame speckle image of the focal plane after beam combining to obtain the parallel measurement of the full baseline complex coherence. It has high measurement accuracy, low algorithm complexity, simple and compact optical path, and strong robustness, and can be applied to various dim observation scenarios.

[0025] (1) The present invention can obtain the paired interference fringes of all baselines by performing linear projection integration on the speckle image. Compared with the traditional paired combination measurement scheme, it does not require optical components such as beam splitters, nor does it require additional devices to maintain the optomechanics of the combined beam. The stability between different baseline fringe positions is higher, the structure is simple and compact, and the complexity of the optical path of the Michelson interferometer fringe complex coherence measurement module is reduced.

[0026] (2) This invention refines the intensity sampling interval of the stripes by performing simple frequency domain upsampling on the filtered speckle image, reduces the influence of noise fluctuations on the stripe intensity change, and further improves the parallel measurement accuracy of complex coherence. It has the advantages of low complexity, strong noise robustness and simple operation.

[0027] (3) By digitally processing the speckle image in the image sensor, the present invention can realize the spatial domain digital unwrapping of paired baseline interference fringes. Compared with the existing frequency domain complex coherence extraction method, it has stronger noise resistance and still has high measurement accuracy under low signal-to-noise ratio detection conditions. Attached Figure Description

[0028] Figure 1The diagram shows a simulation system of a five-aperture Michelson interferometer. (a) is the simulated imaging target, (b) is the spectral information of the imaging target, (c) is a schematic diagram of the exit pupil of the Michelson interferometer with five sub-apertures of 20 mm radius distributed on a circle with a radius of 90 mm, (d) is the intensity distribution diagram of the interference fringes corresponding to the three baselines under paired combination conditions, and (e) is the intensity distribution diagram of the interference fringes corresponding to the same baselines directly decoupled from the speckle pattern.

[0029] Figure 2 The following are the interference fringe intensity distributions of the remaining seven baselines under two measurement modes: (a) shows the interference fringes and intensity distributions of the seven baselines under paired interference, and (b) shows the interference fringes and intensity distributions of the seven baselines after decoupling after interference beam combining. Detailed Implementation

[0030] To make the objectives, technical solutions, and advantages of this invention clearer, the invention will be further described in detail below with reference to the accompanying drawings and embodiments. It should be understood that the specific embodiments described herein are merely illustrative and not intended to limit the invention. Furthermore, the technical features involved in the various embodiments of this invention described below can be combined with each other as long as they do not conflict with each other.

[0031] The technical solution adopted in this invention is as follows: a parallel measurement method for the full baseline complex coherence of a Michelson interferometer. First, based on the exit pupil arrangement of the Michelson interferometer, the speckle image is bandpass filtered in the frequency domain. Second, the filtered speckle image is upsampled using matrix Fourier transform to refine the intensity sampling interval of the fringes. Then, the refined speckle image is linearly projected and integrated along the vertical direction of each baseline in the exit pupil arrangement, and the corresponding integrated signal intensity is acquired. Finally, irrelevant intensity variables are eliminated from each set of integrated signals to obtain the intensity distribution of the interference fringes decoupled from all baseline pairs. The complex coherence information of each set of fringes is then measured using the classic ABCD method. The specific steps are as follows:

[0032] Step 1: In the extended target imaging scenario, set the n exit pupils of the Michelson interferometer to a non-parallel baseline arrangement, and then perform imaging detection on the exit pupil beam of the n-hole Michelson interferometer, where n≥2;

[0033] Step 2: Place the detector on the imaging plane of the Michelson interferometer and acquire the speckle image of the image plane after the interference fringes are superimposed; and perform cross-correlation calculation according to the exit pupil arrangement to obtain the bandpass filter transfer function H(μ,ν) in the frequency domain. Then, perform frequency domain bandpass filtering on the speckle image.

[0034] Step 3: Perform frequency domain upsampling on the filtered speckle image, that is, pad the outer edge with zeros in the frequency domain to further refine the intensity sampling interval of the stripes.

[0035] Step 4: Apply the refined speckle image sequentially along the vertical direction of each baseline in the exit pupil arrangement. Perform linear projection integration and acquire the corresponding integration signal intensity (LPI1, LPI2...LPI). n );

[0036] Step 5: Perform irrelevant intensity variable elimination on each group of integrated signals sequentially to obtain the decoupled interference fringe intensity distribution of all baselines (DF1, DF2...DF). n );

[0037] Step 6: Measure the complex coherence information of each set of decoupled fringes using the classic ABCD method;

[0038] In step 1, by processing the single-frame imaging speckle image after the interferometer exit pupil beam is combined, the fringe intensity distribution of all baselines can be obtained at once without the need for a complex combined optical path of beam splitting devices and multiple image sensors.

[0039] In step 1, by setting the exit pupil of the interferometer to a layout without parallel baselines, the interference fringes of all baselines can be directly analyzed from the speckle pattern of multiple superimposed interference fringes, resulting in low algorithm complexity.

[0040] In step 2, cross-correlation is performed based on the exit pupil arrangement to obtain the bandpass filter transfer function H(μ,ν) in the frequency domain. Then, the speckle image is subjected to frequency domain bandpass filtering to eliminate noise crosstalk on the intensity distribution of the decoupling fringes.

[0041] In step 3, the intensity sampling interval of the stripes is refined by performing matrix Fourier transform upsampling on the filtered speckle image, thereby further improving the measurement accuracy of the stripe complex coherence.

[0042] This method is unaffected by CCD image noise and has strong robustness.

[0043] Example

[0044] Taking a five-aperture Michelson interferometer as an example, the specific parameter settings are as follows:

[0045] Figure 1 This is a schematic diagram of a simulation system for a five-aperture Michelson interferometer. The extended target (the simulated imaging target) is shown below. Figure 1 As shown in (a), its spectral information is as follows Figure 1As shown in (b), the imaging system has an equivalent focal length of 2 meters and a detector pixel size of 3.45 micrometers. The exit pupil arrangement is as follows: Figure 1 As shown in (c), five sub-apertures with a radius of 20 mm are evenly distributed on a circumference with a radius of 90 mm. This arrangement ensures the orientation of all baselines (10 in total). The uniqueness of the target, i.e., the absence of parallel baselines, is a crucial prerequisite for decoupling all fringes from a single frame image. Spectral information at corresponding positions on the target is acquired through pairwise interference of sub-apertures, forming a set of interference fringes. The specific implementation steps are as follows:

[0046] Step 1: Image Acquisition and Preprocessing (corresponding to...) Figure 1 (e1, e2), where (e1) represents the simultaneous participation of five sub-apertures in beam combining, and (e2) is the speckle image of the image plane after interference beam combining.

[0047] The detector is precisely positioned on the imaging focal plane of the Michelson interferometer. After the beams from the five sub-apertures complete interference and beam combining, the detector acquires an image plane speckle pattern formed by the superposition of multiple sets of interference fringes, the morphology of which is as follows: Figure 1 As shown in (e2). For comparison, Figure 1 (e1) schematically illustrates the concept of an optical path where five sub-apertures simultaneously participate in beam combining. This speckle image is a mixture containing interference information from all baseline pairs (10 pairs in this example). This contrasts with the traditional "paired combination" scheme (where a single measurement yields interference fringes from only one pair of sub-apertures, such as...) Figure 1 Compared to (d2, d5, d8), the present invention contains all the necessary interference information in just this single frame image, i.e., as shown in (d2, d5, d8). Figure 1 As shown in (d), (d1) is the aperture pair formed between sub-aperture 1 and sub-aperture 5, (d2) is the interference fringes formed by the pair interference of sub-aperture 1 and sub-aperture 5, (d3) is the intensity distribution of the interference fringes of sub-aperture 1 and sub-aperture 5, (d4) is the aperture pair formed between sub-aperture 1 and sub-aperture 2, (d5) is the interference fringes formed by the pair interference of sub-aperture 1 and sub-aperture 2, (d6) is the intensity distribution of the interference fringes of sub-aperture 1 and sub-aperture 2, (d7) is the aperture pair formed between sub-aperture 1 and sub-aperture 3, (d8) is the interference fringes formed by the pair interference of sub-aperture 1 and sub-aperture 3, and (d9) is the intensity distribution of the interference fringes of sub-aperture 1 and sub-aperture 3.

[0048] Step 2: Frequency domain bandpass filtering;

[0049] The core objective of this step is to initially separate the effective interference signal in the frequency domain and suppress noise.

[0050] Generate filter function: based on the known five-aperture exit pupil arrangement ( Figure 1By calculating the autocorrelation function of (c), the spatial frequency positions corresponding to all baselines in the frequency domain can be determined. Based on this, a bandpass filter transfer function H(μ,ν) is constructed. This function has a passband in the frequency channels corresponding to each baseline and their vicinity, and a stopband in other regions, thus effectively filtering out most frequency domain noise and low-frequency background.

[0051] Filtering operation: Perform a two-dimensional Fourier transform on the speckle image acquired in step 1 to obtain its spectrum. Multiply this spectrum by the filter function H(μ,ν) to complete frequency domain filtering. Finally, perform an inverse Fourier transform on the filtered spectrum to return to the spatial domain, obtaining a speckle image that has undergone preliminary denoising and signal enhancement.

[0052] Step 3: Frequency domain upsampling to refine the sampling interval;

[0053] Perform a Fourier transform on the spatial image obtained in step 2 again to obtain its spectrum.

[0054] Zero-padding is performed around the perimeter of the spectral matrix. This is equivalent to interpolation in the spatial domain and is an efficient upsampling method in the frequency domain.

[0055] Performing an inverse Fourier transform on the zero-padded spectrum yields a larger spatial image with a denser pixel count. This operation refines the sampling interval for fringe intensity, resulting in a smoother fringe intensity profile. This significantly reduces the quantization error and noise fluctuations caused by discrete sampling of detector pixels, laying the foundation for high-precision extraction of complex coherence.

[0056] Step 4, linear projection integration along the direction perpendicular to the baseline (corresponding to) Figure 1 (e3, e4, e6, e8) and Figure 2 (a), where (e3) is the integral image after linear projection integration, (e4) is the spatial decoupling interference fringe intensity distribution of sub-aperture 1 and sub-aperture 5, (e6) is the spatial decoupling interference fringe intensity distribution of sub-aperture 1 and sub-aperture 2, and (e8) is the spatial decoupling interference fringe intensity distribution of sub-aperture 1 and sub-aperture 3.

[0057] The refined speckle image is then processed sequentially along the vertical direction of each baseline in the exit pupil arrangement (e.g., the baselines of sub-apertures 1 and 5, the baselines of sub-apertures 1 and 2, etc.). The linear projection integral (LPI) involves rotating the image to the horizontal plane of the current baseline and then summing the pixel intensities of each column (or row). Figure 1 (e3) vividly illustrates this concept.

[0058] Each integration operation generates a one-dimensional integrated signal strength (LPI1, LPI2...LPI). n These signals form the basis for subsequent decoupling. Figure 1 (e4, e6, e8) shows the projected integral signals of three of the baselines (1-5, 1-2, 1-3). Figure 2 (a) shows the projected integral signals of the remaining seven baselines. As can be seen, the signal still contains background and crosstalk introduced by the other baselines.

[0059] Step 5: Eliminate irrelevant intensity variables and obtain decoupling fringes (corresponding to...) Figure 1 (e5, e7, e9) and Figure 2 (b), where (e5) is the spatial decoupling interference fringe intensity distribution of sub-aperture 1 and sub-aperture 5 after eliminating irrelevant intensity variables, (e7) is the spatial decoupling interference fringe intensity distribution of sub-aperture 1 and sub-aperture 2 after eliminating irrelevant intensity variables, and (e9) is the spatial decoupling interference fringe intensity distribution of sub-aperture 1 and sub-aperture 3 after eliminating irrelevant intensity variables.

[0060] The integrated signal obtained in step 4 is the superposition of the projections of all interference fringes in that direction, not a pure single-baseline fringe. Through mathematical operations (e.g., constructing and solving a system of equations using the linear independence of different baseline signals), irrelevant intensity variables are eliminated sequentially for each set of integrated signals to obtain the decoupled interference fringe intensity distribution (DF1, DF2…DF) of all baselines. n ),like Figure 1 (e5), (e7) and (e9) and Figure 2 As shown in (b), compared with the integrated signal in step 4, the decoupled striped background is flat and has clear contrast, which is consistent with the traditional pairwise combination scheme. Figure 1 (d3, d6, d9) and Figure 2 The stripe quality obtained in (a) the left column is highly consistent, or even better.

[0061] Step 6: Measure the complex coherence based on the ABCD method;

[0062] After obtaining the decoupled fringe intensity distribution DF, the mature ABCD phase measurement method (or other fringe analysis methods) can be used to finally calculate the complex coherence (including amplitude and phase) of each baseline. This method is well-known in the field and will not be elaborated here. The final complex coherence information of all baselines can be directly used for subsequent high-resolution image reconstruction.

[0063] In summary, this invention ingeniously achieves parallel extraction of interference information from all baselines in a single frame of mixed speckle images through a series of digital image processing steps: frequency domain filtering, spatial domain refinement, directional projection, and mathematical decoupling. This method not only simplifies the optical path structure and avoids complex mechanical stability issues, but also endows the system with strong noise resistance through digital processing, providing reliable technical support for the application of Michelson interferometers in demanding scenarios such as the observation of faint targets.

[0064] Those skilled in the art will understand that embodiments of the present invention can be provided as methods, systems, or computer program products. Therefore, the present invention can take the form of a completely hardware embodiment, a completely software embodiment, or an embodiment combining software and hardware aspects. Furthermore, the present invention can take the form of a computer program product implemented on one or more computer-usable storage media (including but not limited to disk storage, CD-ROM, optical storage, etc.) containing computer-usable program code. The solutions in the embodiments of the present invention can be implemented using various computer languages, such as the object-oriented programming language Java and the interpreted scripting language JavaScript.

[0065] This invention is described with reference to flowchart illustrations and / or block diagrams of methods, apparatus (systems), and computer program products according to embodiments of the invention. It will be understood that each block of the flowchart illustrations and / or block diagrams, and combinations of blocks in the flowchart illustrations and / or block diagrams, can be implemented by computer program instructions. These computer program instructions can be provided to a processor of a general-purpose computer, special-purpose computer, embedded processor, or other programmable data processing apparatus to produce a machine, such that the instructions, which execute via the processor of the computer or other programmable data processing apparatus, generate instructions for implementing the flowchart illustrations and / or block diagrams. Figure 1 One or more processes and / or boxes Figure 1 A device that provides the functions specified in one or more boxes.

[0066] These computer program instructions may also be stored in a computer-readable storage medium that can direct a computer or other programmable data processing device to function in a particular manner, such that the instructions stored in the computer-readable storage medium produce an article of manufacture including instruction means, which are implemented in a process Figure 1 One or more processes and / or boxes Figure 1 The function specified in one or more boxes.

[0067] These computer program instructions may also be loaded onto a computer or other programmable data processing equipment to cause a series of operational steps to be performed on the computer or other programmable equipment to produce a computer-implemented process, thereby providing instructions that execute on the computer or other programmable equipment for implementing the process. Figure 1One or more processes and / or boxes Figure 1 The steps of the function specified in one or more boxes.

[0068] Although preferred embodiments of the invention have been described, those skilled in the art, upon learning the basic inventive concept, can make other changes and modifications to these embodiments. Therefore, the appended claims are intended to be interpreted as including both the preferred embodiments and all changes and modifications falling within the scope of the invention.

[0069] Obviously, those skilled in the art can make various modifications and variations to this invention without departing from its spirit and scope. Therefore, if these modifications and variations fall within the scope of the claims of this invention and their equivalents, this invention also intends to include these modifications and variations.

[0070] The above description is merely an embodiment of the present invention and does not limit the patent scope of the present invention. Any equivalent structural or procedural transformations made based on the content of the present invention's specification and drawings, or direct or indirect applications in other related system fields, are similarly included within the patent protection scope of the present invention.

[0071] The contents not described in detail in this specification are existing technologies known to those skilled in the art.

Claims

1. A parallel measurement method for full-baseline complex coherence of a Michelson interferometer, characterized in that, include: Step 1: In the extended target imaging scenario, set the n exit pupils of the Michelson interferometer to a non-parallel baseline arrangement mode, and perform imaging detection on the exit pupil beam of the n-hole Michelson interferometer, where n≥2; Step 2: Place the detector on the imaging plane of the Michelson interferometer, acquire the speckle image of the image plane after the interference fringes are superimposed, and perform frequency domain bandpass filtering according to the arrangement pattern of the exit pupil. Step 3: Upsample the filtered speckle image in the frequency domain; Step 4: Perform linear projection integration on the upsampled speckle image along the vertical direction of each baseline in the exit pupil arrangement, and collect the corresponding integrated signal intensity. Step 5: Perform irrelevant intensity variable elimination on each group of integrated signals in sequence to obtain the intensity distribution of decoupled interference fringes of all baselines; Step 6: Measure the complex coherence information of each set of decoupled fringes.

2. The method for parallel measurement of full-baseline complex coherence of a Michelson interferometer according to claim 1, characterized in that, In step 1, the arrangement pattern without parallel baselines is to arrange the n exit pupils on a circle.

3. The method for parallel measurement of full-baseline complex coherence of a Michelson interferometer according to claim 1, characterized in that, In step 2, the frequency domain bandpass filtering specifically involves: performing cross-correlation calculations based on the exit pupil arrangement to obtain the frequency domain bandpass filter transfer function, and then using this transfer function to perform frequency domain filtering on the image plane speckle image.

4. The method for parallel measurement of full-baseline complex coherence of a Michelson interferometer according to claim 1, characterized in that, In step 3, the frequency domain upsampling is achieved by performing a Fourier transform on the filtered speckle image to obtain the spectrum, padding the outside of the spectrum matrix with zeros, and then performing an inverse Fourier transform.

5. The method for parallel measurement of full-baseline complex coherence of a Michelson interferometer according to claim 1, characterized in that, In step 4, the linear projection integral is specifically: rotating the upsampled speckle image to the horizontal of the current baseline direction, and then summing the pixel intensities of each row or column in the image that are perpendicular to the baseline direction.

6. The method for parallel measurement of full-baseline complex coherence of a Michelson interferometer according to claim 1, characterized in that, In step 5, the elimination of irrelevant intensity variables specifically involves: constructing a system of linear equations using the integral signal intensities corresponding to all baselines, and solving this system of equations to eliminate crosstalk between other baselines and the current baseline integral signal.

7. The method for parallel measurement of full-baseline complex coherence of a Michelson interferometer according to claim 1, characterized in that, In step 6, the complex coherence information of each set of decoupled fringes is measured using the ABCD phase measurement method.

8. The method for parallel measurement of full-baseline complex coherence of a Michelson interferometer according to claim 1, characterized in that, The method achieves the acquisition of the fringe intensity distribution of all baselines at once by processing a single-frame imaging speckle image after the interferometer exit pupil beams are combined.

9. An electronic device comprising a memory, a processor, and a computer program stored in the memory and executable on the processor, characterized in that, When the processor executes the program, it implements a parallel measurement method for full-baseline complex coherence of a Michelson interferometer as described in any one of claims 1 to 8.

10. A non-transitory computer-readable storage medium having a computer program stored thereon, characterized in that, When executed by a processor, the computer program implements a parallel measurement method for full-baseline complex coherence of a Michelson interferometer as described in any one of claims 1 to 8.