Preface |
|
xiii | |
|
|
1 | |
|
1.1. Motivation for Optical Imaging |
|
|
1 | |
|
1.2. General Behavior of Light in Biological Tissue |
|
|
2 | |
|
1.3. Basic Physics of Light—Matter Interaction |
|
|
3 | |
|
1.4. Absorption and its Biological Origins |
|
|
5 | |
|
1.5. Scattering and its Biological Origins |
|
|
7 | |
|
1.6. Polarization and its Biological Origins |
|
|
9 | |
|
1.7. Fluorescence and its Biological Origins |
|
|
9 | |
|
1.8. Image Characterization |
|
|
10 | |
|
|
14 | |
|
|
15 | |
|
|
15 | |
|
2. Rayleigh Theory and Mie Theory for a Single Scatterer |
|
|
17 | |
|
|
17 | |
|
2.2. Summary of Rayleigh Theory |
|
|
17 | |
|
2.3. Numerical Example of Rayleigh Theory |
|
|
19 | |
|
2.4. Summary of Mie Theory |
|
|
20 | |
|
2.5. Numerical Example of Mie Theory |
|
|
21 | |
|
Appendix 2A. Derivation of Rayleigh Theory |
|
|
23 | |
|
Appendix 2B. Derivation of Mie Theory |
|
|
26 | |
|
|
34 | |
|
|
35 | |
|
|
35 | |
|
3. Monte Carlo Modeling of Photon Transport in Biological Tissue |
|
|
37 | |
|
|
37 | |
|
|
37 | |
|
3.3. Definition of Problem |
|
|
38 | |
|
3.4. Propagation of Photons |
|
|
39 | |
|
|
50 | |
|
3.6. Computational Examples |
|
|
55 | |
|
Appendix 3A. Summary of MCML |
|
|
58 | |
|
Appendix 3B. Probability Density Function |
|
|
60 | |
|
|
60 | |
|
|
62 | |
|
|
62 | |
|
4. Convolution for Broadbeam Responses |
|
|
67 | |
|
|
67 | |
|
4.2. General Formulation of Convolution |
|
|
67 | |
|
4.3. Convolution over a Gaussian Beam |
|
|
69 | |
|
4.4. Convolution over a Top-Hat Beam |
|
|
71 | |
|
4.5. Numerical Solution to Convolution |
|
|
72 | |
|
4.6. Computational Examples |
|
|
77 | |
|
Appendix 4A. Summary of CONV |
|
|
77 | |
|
|
80 | |
|
|
81 | |
|
|
81 | |
|
5. Radiative Transfer Equation and Diffusion Theory |
|
|
83 | |
|
|
83 | |
|
5.2. Definitions of Physical Quantities |
|
|
83 | |
|
5.3. Derivation of Radiative Transport Equation |
|
|
85 | |
|
|
88 | |
|
|
101 | |
|
|
106 | |
|
5.7. Photon Propagation Regimes |
|
|
114 | |
|
|
116 | |
|
|
117 | |
|
|
118 | |
|
6. Hybrid Model of Monte Carlo Method and Diffusion Theory |
|
|
119 | |
|
|
119 | |
|
6.2. Definition of Problem |
|
|
119 | |
|
|
119 | |
|
|
122 | |
|
6.5. Numerical Computation |
|
|
124 | |
|
6.6. Computational Examples |
|
|
125 | |
|
|
132 | |
|
|
133 | |
|
|
133 | |
|
7. Sensing of Optical Properties and Spectroscopy |
|
|
135 | |
|
|
135 | |
|
7.2. Collimated Transmission Method |
|
|
135 | |
|
|
139 | |
|
7.4. Oblique-Incidence Reflectometry |
|
|
140 | |
|
7.5. White-Light Spectroscopy |
|
|
144 | |
|
7.6. Time-Resolved Measurement |
|
|
145 | |
|
7.7. Fluorescence Spectroscopy |
|
|
146 | |
|
7.8. Fluorescence Modeling |
|
|
147 | |
|
|
148 | |
|
|
149 | |
|
|
149 | |
|
8. Ballistic Imaging and Microscopy |
|
|
153 | |
|
|
153 | |
|
8.2. Characteristics of Ballistic Light |
|
|
153 | |
|
|
154 | |
|
8.4. Spatiofrequency-Filtered Imaging |
|
|
156 | |
|
8.5. Polarization-Difference Imaging |
|
|
157 | |
|
8.6. Coherence-Gated Holographic Imaging |
|
|
158 | |
|
8.7. Optical Heterodyne Imaging |
|
|
160 | |
|
8.8. Radon Transformation and Computed Tomography |
|
|
163 | |
|
|
164 | |
|
8.10. Two-Photon Microscopy |
|
|
169 | |
|
|
171 | |
|
|
175 | |
|
|
177 | |
|
|
177 | |
|
9. Optical Coherence Tomography |
|
|
181 | |
|
|
181 | |
|
9.2. Michelson Interferometry |
|
|
181 | |
|
9.3. Coherence Length and Coherence Time |
|
|
184 | |
|
|
185 | |
|
9.5. Fourier-Domain Rapid-Scanning Optical Delay Line |
|
|
195 | |
|
|
198 | |
|
|
206 | |
|
9.8. Group Velocity Dispersion |
|
|
207 | |
|
9.9. Monte Carlo Modeling of OCT |
|
|
210 | |
|
|
213 | |
|
|
215 | |
|
|
215 | |
10. Mueller Optical Coherence Tomography |
|
219 | |
|
|
219 | |
|
10.2. Mueller Calculus versus Jones Calculus |
|
|
219 | |
|
|
219 | |
|
|
222 | |
|
|
224 | |
|
10.6. Mueller Matrices for a Rotator, a Polarizer, and a Retarder |
|
|
225 | |
|
10.7. Measurement of Mueller Matrix |
|
|
227 | |
|
|
229 | |
|
|
230 | |
|
10.10. Jones Matrices for a Rotator, a Polarizer, and a Retarder |
|
|
230 | |
|
10.11. Eigenvectors and Eigenvalues of Jones Matrix |
|
|
231 | |
|
10.12. Conversion from Jones Calculus to Mueller Calculus |
|
|
235 | |
|
10.13. Degree of Polarization in OCT |
|
|
236 | |
|
10.14. Serial Mueller OCT |
|
|
237 | |
|
10.15. Parallel Mueller OCT |
|
|
237 | |
|
|
243 | |
|
|
244 | |
|
|
245 | |
11. Diffuse Optical Tomography |
|
249 | |
|
|
249 | |
|
11.2. Modes of Diffuse Optical Tomography |
|
|
249 | |
|
|
251 | |
|
11.4. Direct-Current System |
|
|
252 | |
|
11.5. Frequency-Domain System |
|
|
253 | |
|
11.6. Frequency-Domain Theory: Basics |
|
|
256 | |
|
11.7. Frequency-Domain Theory: Linear Image Reconstruction |
|
|
261 | |
|
11.8. Frequency-Domain Theory: General Image Reconstruction |
|
|
267 | |
|
Appendix 11A. ART and SIRT |
|
|
275 | |
|
|
276 | |
|
|
279 | |
|
|
279 | |
12. Photoacoustic Tomography |
|
283 | |
|
|
283 | |
|
12.2. Motivation for Photoacoustic Tomography |
|
|
283 | |
|
12.3. Initial Photoacoustic Pressure |
|
|
284 | |
|
12.4. General Photoacoustic Equation |
|
|
287 | |
|
12.5. General Forward Solution |
|
|
288 | |
|
12.6. Delta-Pulse Excitation of a Slab |
|
|
293 | |
|
12.7. Delta-Pulse Excitation of a Sphere |
|
|
297 | |
|
12.8. Finite-Duration Pulse Excitation of a Thin Slab |
|
|
302 | |
|
12.9. Finite-Duration Pulse Excitation of a Small Sphere |
|
|
303 | |
|
12.10. Dark-Field Confocal Photoacoustic Microscopy |
|
|
303 | |
|
12.11. Synthetic Aperture Image Reconstruction |
|
|
307 | |
|
12.12. General Image Reconstruction |
|
|
309 | |
|
Appendix 12A. Derivation of Acoustic Wave Equation |
|
|
313 | |
|
Appendix 12B. Green Function Approach |
|
|
316 | |
|
|
317 | |
|
|
319 | |
|
|
319 | |
13. Ultrasound-Modulated Optical Tomography |
|
323 | |
|
|
323 | |
|
13.2. Mechanisms of Ultrasonic Modulation of Coherent Light |
|
|
323 | |
|
13.3. Time-Resolved Frequency-Swept UOT |
|
|
326 | |
|
13.4. Frequency-Swept UOT with Parallel-Speckle Detection |
|
|
329 | |
|
13.5. Ultrasonically Modulated Virtual Optical Source |
|
|
331 | |
|
13.6. Reconstruction-Based UOT |
|
|
332 | |
|
13.7. UOT with Fabry–Perot Interferometry |
|
|
335 | |
|
|
338 | |
|
|
339 | |
|
|
339 | |
Appendix A. Definitions of Optical Properties |
|
343 | |
Appendix B. List of Acronyms |
|
345 | |
Index |
|
347 | |