統計光學與成像原理
The Principles of Statistical Optics and Image Formation
| 節 | 週三 |
|---|---|
5 13:20–14:10 | 統計光學與成像原理 EO115 3 節連堂 |
6 14:20–15:10 | |
7 15:30–16:20 |
* 根據陽明交大上課時間表所列
This course depicts the intrinsic nature of optical fields, their propagation, statistical properties (i.e., coherence), and imaging methods based on statistical properties of light, such as imaging with coherent and partial coherent light, and scattered light imaging. This course also aims to explain how the characteristics of a light source can be determined by measurements of the light fields that the source generates, i.e., determine how much information about the source can be transmitted through an imaging system.
物理光學
Lecture notes posted on http://www.jyhuang.idv.tw
1學期作業: 3 homeworks, and 1 project to study one out of several topics in the application of coherence theory and the van Cittert-Zernicke theorem. 2.考試狀況 No quizzes or final exam. 3.評量方法 3 homeworks (60%), and 1 project (40%).
- 1. Introduction to Statistical Optics
- 2. Overview of Fourier optic analysis of image formation
- 3. Random process and statistical properties of light
- 4. Modern theory of optical coherence
- 5. The van Cittert-Zernike theorem and applications of statistical optics to image formation
- 6. Effects of Partial Coherence on Imaging Process
- 7.Wavefield Imaging with Partially Coherent Light
- 8. Application 1: Image Retrieval Problem in Optics
- 9. Application 2: Imaging Formation through Light Scattering
| 週次 | 主題 |
|---|---|
| 第 1 週 | 1.1 Introduction to Statistical Optics |
| 第 2 週 | 1.2 Overview of Image Formation |
| 第 3 週 | 2. Random Variables (RV) 2.1 Marginal and Conditional Probabilities; 2.2 Moments of RV and Characteristic Function; 2.3 Some Useful Distribution Laws |
| 第 4 週 | 2.4 Central Limit Theorem, Functions of RV |
| 第 5 週 | 3. Stochastic Processes: 3.1 Autocorrelation Function and Power Spectrum; 3.2 Fourier Transform Theorem and Transfer Theorem for Power Spectrum |
| 第 6 週 | 3.3 Statistical Properties of Photon Noise and Ergodic Property; 3.4 Optimum Restoring Filter |
| 第 7 週 | 4. Statistical Properties of Light: 4.1 Propagation of Monochromatic Light 4.2 Huygens-Fresnel Principle 4.3 Propagation of Non-monochromatic Light; |
| 第 8 週 | 4.4 Polarized and Unpolarized Thermal Light; 4.5 Partially Polarized Thermal Light; 4.6 Statistical Properties of Thermal Light and Laser Light |
| 第 9 週 | 5. Modern Theory of Optical Coherence 5.1 Heuristic Introduction 5.2 Mathematical Description of Temporal Coherence and Spatial Coherence 5.3 Power Spectrum of Light Source and Cross-Spectral Purity |
| 第 10 週 | 5.4 Propagation Behavior of Mutual Coherence Function 5.5 The van Cittert-Zernicke Theorem |
| 第 11 週 | 6. Effects of Partial Coherence on Imaging Process: 6.1 Preliminary Considerations 6.2 Methods for Calculating Image Intensity 6.3 Image Formation as an Interference Process 6.4 The Speckel Effect in Coherent Imaging |
| 第 12 週 | 7. Wavefield Imaging with Partially Coherent Light 7.1 Ambiguity function and mutual intensity function of patially coherent light 7.2 Propagation of radiance of patially coherent light and Wigner distribution function 7.3 Phase space tomography 7.4 Wavefield imaging with partially coherent light via phase modulation diversity |
| 第 13 週 | 8. Application 1: Image Retrieval Problem in Optics 8.1 Types of Image Blur 8.2 Image Formation Model: Convolution, Blind vs. non-blind deconvolution 8.3 Case study 1: Deblurring with Blind Deconvolution 8.4 Probabilistic Model of Image Formation 8.5 Deconvolution with Bayesian approach, Likelihood, Image prior, Blur prior 8.6 Case study 2: Motion deblurring |
| 第 14 週 | 9. Application 2: Imaging Formation through Light Scattering 9.1 Formalism of light propagation and optical scattering by single and an ensemble of small particles 9.2 The scattering effect on imaging with partial coherent light 9.3 The potential applications of microscopic imaging and spectroscopy with scattered light |
1. J. W. Goodman, Statistical Optics, Wiley. 2. B.R. Frieden, Probability, Statistical Optics and Data Testing, Springer Series in Information Sciences, Springer-Verlag, Berlin 1991. 3. M. Bertero and P. Boccacci, Introduction to Inverse Problems in Imaging, IoP publishing.
- 時間
- 3:00-6:00 pm Every Friday
- 聯絡方式
- jyhuang@faculty.nctu.edu.tw