Gang Yao

Two-dimensional depth-resolved Mueller matrix characterization of biological tissue by optical coherence tomography

We built a polarization-sensitive optical coherence tomographic system and measured the two-dimensional depth-resolved full 4 x 4 Mueller matrix of biological tissue for what is believed to be the first time. The Mueller matrix measurements, which we made by varying the polarization states of the light source and the detector, yielded a complete characterization of the polarization property of the tissue sample. The initial experimental results indicated that this new approach reveals some tissue structures that are not perceptible in standard optical coherence tomography.

Depth-resolved two-dimensional Stokes vectors of backscattered light and Mueller matrices of biological tissue measured with optical coherence tomography

Mueller matrices provide a complete characterization of the optical polarization properties of biological tissue. A polarization-sensitive optical coherence tomography (OCT) system was built and used to investigate the optical polarization properties of biological tissues and other turbid media. The apparent degree of polarization (DOP) of the backscattered light was measured with both liquid and solid scattering samples. The DOP maintains the value of unity within the detectable depth for the solid sample, whereas the DOP decreases with the optical depth for the liquid sample. Two-dimensional depth-resolved images of both the Stokes vectors of the backscattered light and the full Mueller matrices of biological tissue were measured with this system. These polarization measurements revealed some tissue structures that are not perceptible with standard OCT.

Theoretical and experimental studies of ultrasound-modulated optical tomography in biological tissue

Ultrasound-modulated optical tomography in biological tissue was studied both theoretically and experimentally. An ultrasonic beam was focused into biological tissue samples to modulate the laser light passing through the ultrasonic beam inside the tissue. The ultrasound-modulated laser light reflects the local optical and mechanical properties in the ultrasonic beam and permits tomographic imaging of biological tissues by scanning. Parallel detection of the speckle field formed by the transmitted laser light was implemented with the source-synchronous-illumination lock-in technique to improve the signal-to-noise ratio. Two-dimensional images of biological tissues were successfully obtained experimentally with a laser beam at either normal or oblique incidence, which showed that ultrasound-modulated optical tomography depends on diffuse light rather than on ballistic light. Monte Carlo simulations showed that the modulation depth decreased much more slowly than the diffuse transmittance, which indicated the possibility that even thicker biological tissues can be imaged with this technique.

Monte Carlo simulation of an optical coherence tomography signal in homogeneous turbid media

The Monte Carlo technique with angle biasing is used to simulate the optical coherence tomography (OCT) signal from homogeneous turbid media. The OCT signal is divided into two categories: one is from a target imaging layer in the medium (Class I); the other is from the rest of the medium (Class II). These two classes of signal are very different in their spatial distributions, angular distributions and the numbers of experienced scattering events. Multiply scattered light contributes to the Class I signal as well as the Class II signal. The average number of scattering events increases linearly with the probing depth. The Class II signal decays much more slowly than the Class I signal whose decay constant is close to the total attenuation coefficient of the turbid medium. The effect of the optical properties of the medium on the Class I signal decay is studied.

Propagation of polarized light in turbid media: simulated animation sequences

A time-resolved Monte Carlo technique was used to simulate the propagation of polarized light in turbid media. Calculated quantities include the reflection Mueller matrices, the transmission Mueller matrices, and the degree of polarization (DOP). The effects of the polarization state of the incident light and of the size of scatterers on the propagation of DOP were studied. Results are shown in animation sequences.

Monte Carlo model and single-scattering approximation of the propagation of polarized light in turbid media containing glucose

We present a single-scattering model as well as a Monte Carlo model of the effect of glucose on polarized light in turbid media. Glucose alters the Mueller-matrix patterns of diffusely backscattered and forward-scattered light because glucose molecules rotate the polarization plane of linearly polarized light. For example, the angles of rotation in Mueller-matrix elements S21 and S12 are linearly related to the concentration of glucose and increase with the source-detector distance. In the nondiffusion regime, the two models agree well with each other. In the diffusion regime, the single-scattering model is invalid, but there still exists a linear relationship between the angles of rotation in the Mueller-matrix elements and the concentration of glucose, which is predicted by the Monte Carlo model.

Frequency-swept ultrasound-modulated optical tomography in biological tissue by use of parallel detection

A frequency-swept ultrasonic beam was focused into a biological tissue sample to modulate the laser light passing through the ultrasonic beam inside the tissue. Parallel detection of the speckle field formed by the transmitted laser light was implemented with the source-synchronous-illumination lock-in technique to improve the signal-to-noise ratio. The ultrasound-modulated laser light reflects the local optical and mechanical properties in the ultrasonic beam and can be used for tomographic imaging of the tissue. Sweeping the ultrasonic frequency provides spatial resolution along the ultrasonic axis, which is scalable with the frequency span of the sweep. Two-dimensional images of biological tissue with buried objects were successfully obtained experimentally.

Degree of polarization in laser speckles from turbid media: Implications in tissue optics

The degree of polarization (DOP) of laser-speckle fields, where the speckles were generated by a polarized laser beam incident upon two kinds of samples: ground glass and wax, was investigated within a single coherence area as well as over multiple coherence areas. For the surface-scattering ground glass, the incident polarization state was preserved in the speckle field, and hence the DOP remained at unity regardless of the area of detection. For the volume-scattering wax, the polarization states varied with positions in the field, and consequently the DOP depended on the area of detection: the DOP decreased with an increasing area of detection, and only when the area was much smaller than the coherence area would the DOP approach unity. A numerical simulation explained the experimental observation. These results are important for the understanding of polarization phenomena in turbid media such as biological tissue.

Depth-resolved degree of polarization of backscattered light and two-dimensional Mueller matrices of biological tissue measured by optical coherence tomography

Mueller matrices provide a complete characterization of the optical polarization properties of biological tissue. A polarization-sensitive optical coherence tomography (OCT) system was built and used to investigate the optical polarization properties of biological tissues and other turbid media. The apparent degree of polarization (DOP) of the backscattered light was measured with both liquid and solid scattering samples. The DOP maintains the value of unity within the detectable depth for the solid sample while the DOP decreases with the optical depth for the liquid sample. Two-dimensional depth-resolved images of the full Mueller matrices of biological tissues were measured with this system. These polarization measurements revealed some tissue structures that are not perceptible with standard OCT.

Time-resolved polarization imaging: Monte Carlo simulation

Monte Carlo method was used to simulate time resolved polarization imaging in turbid media. Mie theory was used to calculate the Meuller matrix of a single scattering event. In the simulation, the Stokes vector of each incident photon package was traced. The summation of the Stokes vectors of the traced photon packages gave the total output Stokes vector. The time integrated Mueller matrix of transmittance and reflectance light of a turbid media were calculated. The transmittance Mueller matrix and reflectance Mueller matrix have very different patterns. The time resolved 2D images of degree of polarization (DOP) for transmitted light and reflected light were calculated. The patterns showed different features for linearly polarized incident light and for circularly polarized light. The DOP patterns were also related to the scattering properties of the sample. The time resolved 2D DOP of the internal optical flux was also calculated. The DOP evolution was demonstrated vividly by the simulation results. The different patterns for linearly/circularly polarized light were compared. Linearly polarized light survived longer in turbid media with a small particle size. Circularly polarized light survived longer in turbid media with a larger particle size.