CN118806237B - Ultra-deep three-dimensional imaging device and method based on swept frequency optical coherence tomography in turbid media - Google Patents
Ultra-deep three-dimensional imaging device and method based on swept frequency optical coherence tomography in turbid media Download PDFInfo
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Abstract
The invention discloses an ultra-deep three-dimensional imaging device and method based on a sweep-frequency optical coherence tomography technology in a turbid medium. The invention utilizes the three-dimensional scattered field rapid detection method combining the parallel detection of the sample in the depth direction and the scanning detection of the transverse field distribution to obtain the depth-resolved reflection matrix and provide the depth range required by ultra-deep imaging. The invention acquires and compensates inherent intra-frame phase fluctuation of scanning detection by introducing a quasi-common reference arm into the system, and realizes image reconstruction by adopting a matrix method insensitive to residual inter-frame phase drift. The residual uncompensated interframe direct current drift and the uniform phase distribution error have no influence on image reconstruction, and the total measurement time of ultra-deep three-dimensional imaging (125 micrometers multiplied by 4 millimeters) realized by the method is about 5 minutes, so that the method has obvious leap compared with a time domain matrix method.
Description
Technical Field
The invention belongs to the field of ultra-deep imaging in a strong scattering medium, and particularly relates to an ultra-deep three-dimensional imaging device and method based on a sweep-frequency optical coherence tomography technology in a turbid medium.
Background
Light scattering is not only an information source for optical imaging of biological tissues, but also a limiting factor for optical imaging of deep tissues. Biological tissue may be described as a non-uniform, strongly scattering medium in which light propagates through it, subject to light scattering due to spatial fluctuations in refractive index. Unfortunately, as the depth of light propagation increases, the number of singly scattered photons decays rapidly exponentially, while the number of multiply scattered photons increases with depth, the target information carried by singly scattered photons returned from the sample has been difficult to recover, making the penetration depth achievable with conventional imaging techniques based on singly scattered photons extremely shallow. The conventional focusing and imaging method under the existing born approximation is only effective under the transparent or weak scattering condition and cannot be applied to focusing and imaging under the strong scattering condition. Therefore, the problems of light transmission and imaging in biological tissues, especially deep tissue optical imaging, are a fundamental problem and a scientific problem to be solved urgently.
In order to realize deep high resolution imaging of biological tissues, many scholars have proposed effective solutions, such as using long wavelength imaging or tissue light transparent technology to reduce scattering coefficient of biological tissues, reduce multiple scattering of light in biological tissues, or forming back-diffused wavefront based on time-reversal wave front shaping technology to resist the influence of multiple scattering and distortion on beam focusing and imaging. The most sophisticated method to date to eliminate multiple scattered light is optical coherence tomography (Optical coherencetomography, OCT). As a non-invasive, non-contact, label-free and low-cost real-time optical imaging method, OCT comprehensively utilizes two gating technologies of a space gate and a time gate, can effectively separate single scattered light from a multi-scattering background, and can construct a high-resolution image according to the single scattered light. However, due to the influence of strong scattering in biological tissues, the imaging depth of OCT in biological tissues is still limited to about 1-2mm, and in order to further exert the advantages of OCT, the imaging depth limitation needs to be broken through.
The AlexandreAubry team of the French Langmuir institute firstly proposes a time domain OCT system based on a reflection matrix, and is expected to realize at least 2 times of imaging depth expansion. The basic mechanisms for reducing multiple scattered photons and enhancing single scattered photons include wide field detection of complex scattered fields and iterative time reversal based image reconstruction. In matrix OCT methods it is important to measure the backscattered complex amplitude field accurately and rapidly, phase shifting is a common method of obtaining complex amplitude fields, but phase shifting by mechanical motion is both time consuming and unstable. In order to increase the measurement speed of the reflection matrix, chen Zhongping group proposed a wide-field heterodyne detection method based on an acousto-optic modulator and a phase-locked camera, but the complexity and cost of the system are increased accordingly. As is well known, swept OCT (SS-OCT) performs better than time domain OCT, however, matrix OCT schemes reported so far are all based on time domain OCT systems, where only one depth-corresponding reflection matrix can be measured at a time and then used for two-dimensional image reconstruction, three-dimensional (3D) ultra-deep OCT imaging has not been demonstrated.
Disclosure of Invention
The invention provides an ultra-deep three-dimensional imaging device and method based on sweep frequency optical coherence tomography in a turbid medium, which are realized by the following technical scheme:
The ultra-deep three-dimensional imaging device based on the sweep optical coherence tomography in a turbid medium comprises a high-speed sweep light source, a Mach-Zehnder interferometer clock box, a coupler A, an interferometer comprising a sample arm and a reference arm, a coupler B, a balance detector and a computer for processing data, wherein the high-speed sweep light source, the Mach-Zehnder interferometer clock box, the coupler A, the interferometer comprising the sample arm and the reference arm, the reference arm comprises a collimating lens A and a focusing lens A, the sample arm comprises the collimating lens B, a beam splitter, the focusing lens B and a sample which are sequentially connected, a focusing lens C and a reference mirror which are sequentially connected with one side of the beam splitter, a biaxial vibrating mirror A and a collimating lens C which are sequentially connected with the other side of the beam splitter, the input end of the sample arm is connected with the coupler A through the collimating lens B, and the output end of the sample arm further comprises a biaxial vibrating mirror B arranged between the collimating lens B and the beam splitter or a biaxial displacement platform which is arranged on the bottom surface of the sample and supports the sample.
As a further improvement, the biaxial displacement platform is used for realizing focusing light scanning by moving a sample, or a biaxial vibrating mirror B is arranged at the input end of a sample arm and used for scanning incident light.
As a further improvement, the reference reflector is arranged at the defocusing position of the front focusing lens C, and the position depth of the reference reflector and the position depth of the upper surface of the sample are ensured to form a similar but distinguishable quasi-common path.
As a further improvement, the effective scanning range of the biaxial vibrating mirror A is required to be consistent with the range of the imaging area of the sample.
The invention also discloses an ultra-deep three-dimensional imaging method based on the ultra-deep three-dimensional imaging device based on the sweep frequency optical coherence tomography in the turbid medium, which comprises the following steps:
the sample is moved by adopting a biaxial displacement platform or the incident light is scanned by utilizing a biaxial galvanometer B at the input end of a sample arm so as to realize the traversing scanning of the focused light on each position of the sample;
at each focusing light scanning position, scanning and detecting and recording interference spectrum signals of the corresponding three-dimensional back scattering field by utilizing a biaxial vibrating mirror A;
performing inverse Fourier transform on the detected spectrum signals to obtain complex amplitude signals of the three-dimensional back-scattered field from the sample and the reference reflector;
according to the clock signal output by the Mach-Zehnder interferometer clock box, calculating phase errors caused by wavelength changes between different axial scanning detection, and compensating for corresponding axial scanning signals in the three-dimensional back-scattered field;
According to complex amplitude fields of the reference reflector obtained by multiple measurements (corresponding to different positions of the focused light scanning), calculating the interframe change of the light field distribution of the complex amplitude fields, and further compensating the complex amplitude fields to the corresponding three-dimensional backward scattering fields;
after the phase compensation operation is finished, uncompensated phases still remain, but the subsequent image reconstruction is not affected;
rearranging two-dimensional fields with the same depth in all the three-dimensional backscattering fields after phase compensation into column vectors, and arranging the column vectors in a reflection matrix according to a scanning track, thereby forming a reflection matrix with a specified depth;
the remolding process is carried out on two-dimensional fields with different depths in the three-dimensional back scattering complex field, and a depth-resolved reflection matrix is constructed;
Filtering most of multiple scattering contributions from the reflection matrix of each depth by adopting a digital pinhole, and then carrying out singular value decomposition and two-dimensional image reconstruction;
In the image reconstruction, in order to determine the number of required main singular values, correlation analysis is carried out on image pairs formed by images reconstructed by different numbers of singular values and images reconstructed by corresponding residual singular values, so as to determine the number of optimal main singular values and realize the optimal reconstruction of a two-dimensional image;
finally, arranging the best reconstructed two-dimensional image obtained by each depth according to the depth, so that a successfully recovered three-dimensional target can be obtained, and ultra-deep imaging in the turbid medium can be realized.
As a further improvement, the phase error of the present invention includes that the device has phase errors caused by various interference factors, including wavelength shift between axial scans, mechanical jitter of the dual-axis galvanometer a, optical path mismatch, etc., and the phase errors can be divided into intra-frame phase fluctuation and inter-frame phase drift according to different change rates: wherein x and y are respectively orthogonal coordinates of the back-scattered field, z is the corresponding depth of the sample signal, Scanning a location for a sample;
According to the different sample scanning modes, when the device adopts a mode of scanning incident light by the biaxial galvanometer B, the incident light can undergo spatially-varying aberration, thereby causing additional intra-frame phase fluctuation, and when the device adopts a displacement platform to move the sample, the incident light is fixed and cannot undergo spatially-varying aberration.
As a further improvement, according to the clock signal output by the Mach-Zehnder interferometer clock box, the phase error caused by wavelength variation between different axial scanning detection is calculated, and the phase error is compensated to the corresponding axial scanning signal in the three-dimensional back-scattered field, which comprises the following steps:
Calculating the phase difference after the Hilbert transform of the reference signal output by the Mach-Zehnder interferometer clock box, and performing a first-step phase compensation operation:
Where z MZI is the corresponding depth of the clock signal, For the hilbert phase difference between the interference signals generated by the mach-zehnder interferometer clock bins,AndThe phase distribution of the original and first phase compensated sample signal, respectively.
As a further improvement, the complex amplitude field of the reference mirror obtained according to the multiple measurements (corresponding to the scanning of the focused light at different positions) of the present invention calculates the inter-frame variation of the light field distribution thereof, and further compensates for the corresponding three-dimensional back-scattered field, including:
Calculating the inter-frame phase difference of the light field of a reference mirror The phase distribution of each frame compensated to the sample signal is aimed at unifying the scanning errors of inconsistent distribution among all fields of the sample signal into one same phase distribution error, and the phase compensation process is described as follows:
Where z R is the depth of the reference mirror signal, E R is normalized by E R=ER0/|ER0 |, E R0 is the backscattered light field from the reference mirror, Is the phase distribution of the sample signal that is ultimately phase compensated.
As a further improvement, the phase compensation operation of the present invention is completed with uncompensated phase remaining but without affecting the subsequent image reconstruction, comprising the steps of: Wherein the method comprises the steps of For introducing specific phase distribution errors (abbreviated as),For inter-frame phase drift (dc quantity independent of background distribution), the reflection matrix R e can be expressed as:
Where R is an ideal reflection matrix with no phase error, D is an error matrix composed of phase distribution errors of the reference frame, and E is an error matrix composed of inter-frame phase fluctuations. The process of decomposition of the reflection matrix and reconstruction of the image is as follows:
Are all time-reversal operators, and the singular value decomposition of matrix R can be expressed as Represents the conjugate transpose, U and V are unitary matrices, Σ is a diagonal matrix composed of a descending arrangement of singular values (positive real numbers) σ i (i { i e [1, N ] }), and the matrix U d =DU represents that the matrix U is weighted by a phase-only diagonal matrix D, the matrixRepresenting matrix V by a phase-only diagonal matrixWeighting; And Is a two-dimensional wavefront reshaped by the column vector U i、Vi of matrix U, V, and M (M < N) is the optimal number of singular values for reconstruction. Therefore, the background phase change irrelevant to distribution has no influence on image reconstruction, namely the image reconstruction is insensitive to inter-frame phase drift, the uniform phase distribution error has no influence on the image reconstruction, and the post-processing and the image reconstruction of a reflection matrix formed by the compensated complex scattered field are not influenced by the scanning detection of the device.
Based on the technical scheme, the invention has the following beneficial effects compared with the prior art:
1. Compared with the prior art, the method utilizes the method of combining parallel detection in the depth direction of the sample and scanning detection of transverse field distribution to realize rapid detection of the three-dimensional scattering field, so that the measurement of the three-dimensional reflection matrix and the three-dimensional ultra-deep imaging process are more efficient and accurate. The invention adopts a scanning detection mechanism, and a high-speed sweep-frequency light source and a matched high-speed point detector are used in the system to provide a sufficient depth range for ultra-deep imaging.
2. Compared with the existing reflection matrix measurement technology, the measurement system provided by the invention is simple in arrangement and low in cost, only needs to increase the scanning detection for transverse field distribution and the measurement of a reference signal for phase compensation on the basis of the traditional scanning optical chromatography system, and the system can be directly switched to the traditional scanning optical chromatography system by fixing the position of the biaxial galvanometer at the detection end of the sample arm at the center.
3. The method provided by the invention comprehensively researches the influence of phase interference caused by scanning detection on an optical coherence tomography method based on matrix measurement in the backward scattered field measurement process for the first time, and comprises intra-frame and inter-frame phase fluctuation. The invention introduces Mach-Zehnder interferometer to generate clock signal, and places reference mirror (using half of the originally wasted incident light) at the other end of beam splitter in sample arm to generate quasi-common reference signal, and compensates phase fluctuation in frame together, and the phase error of inconsistent distribution among all fields after compensation is unified into one same specific distribution error. The method proves that the matrix method is insensitive to residual interframe phase drift and uniform phase distribution errors, and image reconstruction is not influenced by system scanning detection.
4. The invention realizes three-dimensional ultra-depth optical coherence tomography in turbid medium for the first time, the total measurement time of the ultra-depth three-dimensional imaging (125 micrometers multiplied by 4 millimeters) system realized by the invention is about 5 minutes, compared with time domain matrix OCT, the time domain matrix OCT has obvious leap, and the two-dimensional target imaging with a specified depth can be completed only in 6 minutes.
Drawings
FIG. 1 is a system diagram of an ultra-deep three-dimensional imaging device based on a swept-frequency optical coherence tomography technology;
FIG. 2 is a process flow diagram of an ultra-deep three-dimensional imaging method based on swept-frequency optical coherence tomography in turbid media according to the invention;
FIG. 3 is a schematic diagram of the phase compensation result in the present invention, wherein the mirror is used as a sample to continuously measure the backward scattered field, the first three columns in FIG. a are the phase distributions of the scattered field at three different sample positions, and the second two columns are the phase differences to indicate whether the phase error is completely compensated, and the uncompensated phase in FIG. b is the inter-frame phase, which increases with the increase of the measurement time;
Fig. 4 is a representation of the results of the present invention for ultra-deep imaging in scattering media, the second and third columns of fig. a are the reconstruction results obtained by conventional SS-OCT and matrix SS-OCT, respectively, fig. b is an enlarged view of the three-dimensional structure of the last three microspheres (identified as 8, 9, 10) near the maximum depth shown by the dashed rectangle in fig. a, and fig. c is a two-dimensional image of the three microspheres and a normalized intensity contrast plot of the light intensity distribution at their centroid.
In the figure, 1, a high-speed sweep light source, 2, a Mach-Zehnder interferometer clock box, 3, a coupler A,4, a collimating lens A,5, a focusing lens A,6, a polarization controller, 7, a collimating lens B,8, a beam splitter, 9, a focusing lens B,10, a sample, 11, a focusing lens C, 12, a reference reflector, 13, a biaxial vibrating mirror A,14, a collimating lens C,15, a biaxial displacement platform, 16, a coupler B,17, a balance detector, 18, a computer, 19 and a biaxial vibrating mirror B are shown in the specification.
Detailed Description
The invention is further described below with reference to the drawings and examples.
FIG. 1 is a system diagram of an ultra-deep three-dimensional imaging device based on a sweep optical coherence tomography technology in a turbid medium, the ultra-deep three-dimensional imaging device based on the sweep optical coherence tomography technology in the turbid medium comprises a high-speed sweep light source (1), a Mach-Zehnder interferometer clock box (2), a coupler A (3), an interferometer comprising a sample arm and a reference arm, a coupler B (16), a balance detector (17) and a computer (18) for processing data, wherein the reference arm comprises a collimating lens A (4) and a focusing lens A (5), the sample arm comprises a collimating lens B (7), a beam splitter (8), a focusing lens B (9) and a sample (10) which are sequentially connected, a focusing lens C (11) and a reference mirror (12) which are sequentially connected on one side of the beam splitter (8), a biaxial vibrating mirror A (13) and a collimating lens C (14) which are sequentially connected on the other side, the input end of the sample arm is connected with the coupler A (3) through the collimating lens B (7), the output end of the sample arm is connected with the collimating lens B (14) through the collimating lens B (16) and the sample arm is arranged between the sample arm (8) and the sample (8) or a sample (19) which comprises a collimating lens B and a sample shaft (19) which is also arranged between the sample shaft and the sample shaft (8).
In the sample arm, incident light is divided into a transmission light beam and a reflection light beam after passing through a beam splitter (8), a focusing lens B (9) and a focusing lens C (11) form focusing light to focus on a sample (15) and a reference reflector (12), the reference reflector (12) is placed at a defocusing position of the front focusing lens C (11) and ensures that the position depth of the reference reflector (12) and the position depth of the upper surface of the sample form a near-distinguishable quasi-common path, and a biaxial displacement platform (15) is adopted for sample movement to realize focusing light scanning, or a biaxial vibrating mirror B (19) is arranged at the input end of the sample arm for scanning the incident light. In a detection light path of the sample arm, a biaxial galvanometer A (13) is adopted to scan and detect a backward scattering field from the sample and the reference reflecting mirror, the effective scanning range of the backward scattering field needs to be consistent with the range of an imaging area of the sample, returned light of the sample arm and the reference arm is interfered in a coupler B (16) and is input to a balance detector (17), a computer synchronously collects interference spectrum data from a Mach-Zehnder interferometer clock box (2) and interference spectrum data from the balance detector (17), and finally a three-dimensional structure of an object at an ultra-deep position in a turbid medium is displayed through data processing.
Fig. 2 is a process flow diagram of an ultra-deep three-dimensional imaging method based on a sweep optical coherence tomography in a turbid medium, and the invention also discloses an ultra-deep three-dimensional imaging method of an ultra-deep three-dimensional imaging device based on the sweep optical coherence tomography in the turbid medium, which comprises the following specific steps:
1. the sample is moved by adopting a biaxial displacement platform or the incident light is scanned by utilizing a biaxial galvanometer B at the input end of a sample arm so as to realize the traversing scanning of the focused light on each position of the sample;
2. at each focusing light scanning position, scanning and detecting and recording interference spectrum signals of the corresponding three-dimensional back scattering field by utilizing a biaxial vibrating mirror A;
3. the device has a measured phase error caused by various interference factors, including wavelength offset between axial scans, mechanical jitter of the biaxial galvanometer A and optical path mismatch, and the phase error can be divided into intra-frame phase fluctuation and inter-frame phase drift according to different change rates: wherein x and y are respectively orthogonal coordinates of the back-scattered field, z is the corresponding depth of the sample signal, According to the different sample scanning modes, when the device adopts a mode of scanning incident light by the biaxial galvanometer B, the incident light can undergo spatially-varying aberration, thereby causing additional intra-frame phase fluctuation, and when the device adopts a displacement platform to move the sample, the incident light is fixed and cannot undergo spatially-varying aberration.
4. Performing inverse Fourier transform on the detected spectrum signals to obtain complex amplitude signals of the three-dimensional back-scattered field from the sample and the reference reflector;
5. In order to compensate the measurement phase error, firstly, according to the clock signal output by the Mach-Zehnder interferometer clock box, calculating the phase error caused by wavelength variation between different axial scanning detection, and compensating the phase error to the corresponding axial scanning signal in the three-dimensional back scattering field:
Where z MZI is the corresponding depth of the clock signal, For the hilbert phase difference between the interference signals generated by the mach-zehnder interferometer clock bins,AndThe phase distribution of the original and first phase compensated sample signal, respectively.
6. Calculating the inter-frame variation of the light field distribution of the reference mirror according to the complex amplitude field of the reference mirror obtained by multiple measurements (corresponding to the scanning of different positions by the focused light), and further compensating to the corresponding three-dimensional back-scattered field, including calculating the inter-frame phase difference of the light field of the reference mirrorThe phase distribution of each frame compensated to the sample signal is aimed at unifying the scanning errors of inconsistent distribution among all fields of the sample signal into one same phase distribution error, and the phase compensation process is described as follows:
Where z R is the depth of the reference mirror signal, E R is normalized by E R=ER0/|ER0 |, E R0 is the backscattered light field from the reference mirror, Is the phase distribution of the sample signal that is ultimately phase compensated.
7. Fig. 3 is a schematic diagram of the phase compensation result in the present invention, showing the distribution change of the back-scattered field after the above two steps of phase compensation operation, i.e. the intra-frame phase error has been successfully compensated, but the inter-frame phase drift and a specific introduced phase distribution error remain, as shown in fig. 3 b.
8. The phase error remaining after the phase compensation operation is completed is expressed as: Wherein the method comprises the steps of For introducing specific phase distribution errors (abbreviated as),For inter-frame phase drift (dc quantity independent of background distribution), the reflection matrix R e can be expressed as:
Where R is an ideal reflection matrix with no phase error, D is an error matrix composed of phase distribution errors of the reference frame, and E is an error matrix composed of inter-frame phase fluctuations. The process of decomposition of the reflection matrix and reconstruction of the image is as follows:
And Are all time-reversal operators, and the singular value decomposition of matrix R can be expressed asRepresents the conjugate transpose, U and V are unitary matrices, Σ is a diagonal matrix composed of a descending arrangement of singular values (positive real numbers) σ i (i { i e [1, N ] }), and the matrix U d =DU represents that the matrix U is weighted by a phase-only diagonal matrix D, the matrixRepresenting matrix V by a phase-only diagonal matrixWeighting; And Is a two-dimensional wavefront reshaped by the column vector U i、Vi of matrix U, V, and M (M < N) is the optimal number of singular values for reconstruction. Therefore, the background phase change irrelevant to distribution has no influence on image reconstruction, namely the image reconstruction is insensitive to inter-frame phase drift, the uniform phase distribution error has no influence on the image reconstruction, and the post-processing and the image reconstruction of a reflection matrix formed by the compensated complex scattered field are not influenced by the scanning detection of the device.
8. Rearranging two-dimensional fields with the same depth in all the three-dimensional backscattering fields after phase compensation into column vectors, and arranging the column vectors in a reflection matrix according to a scanning track, thereby forming a reflection matrix with a specified depth;
9. The remolding process is carried out on two-dimensional fields with different depths in the three-dimensional back scattering complex field, and a depth-resolved reflection matrix is constructed;
10. filtering most of multiple scattering contributions from the reflection matrix of each depth by adopting a digital pinhole, and then carrying out singular value decomposition and two-dimensional image reconstruction;
11. In the image reconstruction, in order to determine the number of required main singular values, correlation analysis is carried out on image pairs formed by images reconstructed by different numbers of singular values and images reconstructed by corresponding residual singular values, so as to determine the number of optimal main singular values and realize the optimal reconstruction of a two-dimensional image;
12. And arranging the best reconstructed two-dimensional images obtained by each depth according to the depth, so that a successfully recovered three-dimensional target can be obtained, and ultra-deep imaging in the turbid medium can be realized.
FIG. 4 is a graphical representation of the results of the present invention for ultra-deep imaging in a scattering medium, from which it can be seen that conventional SS-OCT methods can reconstruct microspheres only at shallow depths, when the imaging depth is increased (beyond the corresponding depth of microspheres identified as 1), the three-dimensional distribution of microspheres becomes obscured and unrecognizable due to multiple scattering of light within the turbid medium. In contrast, the matrix SS-OCT approach successfully restores the three-dimensional structure distribution of the microspheres and minimizes background noise. The contrast finds that the matrix SS-OCT system expands the imaging depth by three times compared with the traditional SS-OCT system, and realizes the three-dimensional structural reconstruction of the super depth.
The foregoing is merely a preferred embodiment of the present invention, and the present invention has been disclosed in the above description of the preferred embodiment, but is not limited thereto. Any person skilled in the art can make many possible variations and modifications to the technical solution of the present invention or modifications to equivalent embodiments using the methods and technical contents disclosed above, without departing from the scope of the technical solution of the present invention. Therefore, any simple modification, equivalent variation and modification of the above embodiments according to the technical substance of the present invention still fall within the scope of the technical solution of the present invention.
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