富氏光學
Fourier Optics
學期
108-1
學分
3
學分
當期課號
5103
永久課號
IEO5519
開課單位
光電工程學系
授課教師
田仲豪
校區
光復
類別
選修
上課時間表
| 節 | 週二 |
|---|---|
2 09:00–09:50 | 富氏光學 CY201 3 節連堂 |
3 10:10–11:00 | |
4 11:10–12:00 |
* 根據陽明交大上課時間表所列
概述
The aim of this class is to provide a basic understanding of the important features of Fourier theory in optics, including analysis of 2D signals and systems, foundation of scalar diffraction theory, Fresnel and Fraunhofer diffraction, space/frequency analysis of imaging systems, interference and coherence theory. The class will show the students in a tutorial from how to implement aforementioned topics through the on-class Matlab programming.
先修科目
訊號與系統
教學方式
http://dcpc.nctu.edu.tw/
評分方式
Homework after each lecture: 60% Final project and presence: 40%
週次計畫
| 週次 | 主題 |
|---|---|
| 第 1 週 | Introduction |
| 第 2 週 | Lecture #1 Analytical Fourier Theory Review 1.1 A Little History and Purpose 1.2 The Realm of Computational Fourier Optics 1.3 Fourier Transform Definitions and Existence |
| 第 3 週 | Lecture #1 Analytical Fourier Theory Review 1.4 Theorems and Separability 1.5 Basic Functions and Transforms 1.6 Linear and Space-Invariant Systems |
| 第 4 週 | Lecture #2 Sampled Functions and its DFT 2.1 Sampling and the Shannon-Nyquist Sampling Theorem 2.2 Effective Bandwidth 2.3 Discrete Fourier Transform from the Continuous Transform |
| 第 5 週 | Lecture #2 Sampled Functions and its DFT 2.4 Coordinates, Indexing, Centering and Shifting 2.5 Periodic Extension 2.6 Periodic Convolution |
| 第 6 週 | Lecture #3 Tutorial of Matlab Programming 3.1 Defining Basic Functions 3.2 Creating Vectors 3.3 Shift for FFT 3.4 Computing the FFT and Displaying Results 3.5 Comparison with Analytic Results 3.6 Convolution Example 3.7 Two Dimensions Extension |
| 第 7 週 | Lecture #4 Scalar Diffraction and Propagation Solutions 4.1 Scalar Diffraction 4.2 Monochromatic Fields and Irradiance 4.3 Optical Path Length and Field Phase Representation |
| 第 8 週 | Lecture #4 Scalar Diffraction and Propagation Solutions 4.4 Analytic Diffraction Solutions (R-S, Fresnel, Fraunhofer) 4.5 Fraunhofer Diffraction Example |
| 第 9 週 | Lecture #5 Free Space Propagation Simulation 5.1 Fresnel Transfer Function (TF) Propagator 5.2 Fresnel Impulse Response (IR) Propagator 5.3 Square Beam Example |
| 第 10 週 | Lecture #5 Free Space Propagation Simulation 5.4 Fresnel Propagation Sampling 5.5 Fraunhofer Propagation 5.6 Coding Efficiency |
| 第 11 週 | Lecture #6 Transmittance Functions, Lenses and Gratings 6.1 Tilt 6.2 Focus 6.3 Lens 6.4 Gratings and Periodic Functions |
| 第 12 週 | Lecture #7 Imaging and Diffraction-Limited Imaging Simulation 7.1 Geometrical Imaging Concepts 7.2 Coherent Imaging and Transfer Function |
| 第 13 週 | Lecture #7 Imaging and Diffraction-Limited Imaging Simulation 7.3 Incoherent Imaging and Transfer Function |
| 第 14 週 | Lecture #8 Wavefront Aberrations 8.1 Wavefront Optical Path Difference 8.2 Seidel Polynomials 8.3 Pupil and Transfer Functions 8.4 Image Quality |
| 第 15 週 | Lecture #8 Wavefront Aberrations 8.5 Lens Example-PSF and MTF 8.6 Wavefront Sampling 8.7 Superposition Imaging Example |
| 第 16 週 | Lecture #9 Partial Coherence Simulation 9.1 Partial Temporal Coherence 9.2 Partial Spatial Coherence |
| 第 17 週 | Lecture #9 Partial Coherence Simulation 9.3 Reducibility, Number of Spectral Components 9.4 Phase Screens |
| 第 18 週 | Final project and presentation |
教科書
Computational Fourier Optics, a Matlab Tutorial
Office Hours
- 地點
- CY416
- 時間
- Appointment after class
- 聯絡方式