課程名稱 |
傅氏轉換與傅氏光學 Fourier Transform and Fourier Optics |
開課學期 |
107-1 |
授課對象 |
電機資訊學院 電信工程學研究所 |
授課教師 |
張宏鈞 |
課號 |
EE5136 |
課程識別碼 |
921 U9000 |
班次 |
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學分 |
3.0 |
全/半年 |
半年 |
必/選修 |
選修 |
上課時間 |
星期二10,A,B(17:30~20:10) |
上課地點 |
博理114 |
備註 |
與邱奕鵬合授 總人數上限:27人 |
Ceiba 課程網頁 |
http://ceiba.ntu.edu.tw/1071EE5136_ |
課程簡介影片 |
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核心能力關聯 |
本課程尚未建立核心能力關連 |
課程大綱
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課程概述 |
本課程詳細探討傅氏轉換之特性,著重物理意義之闡釋,以能靈活處理頻譜問題為目標,並將二維系統與二維傅氏轉換的觀念應用於空間中光波傳播,繞射,成像及影像處理問題。討論主題如下:
I. Fourier transform and related topics:
1. Definition, basic properties, and theorems of Fourier transforms
2. Measure of width, the uncertainty relation, the central limit theorem
3. Linear filters and transfer functions, sampling theory, DFT and FFT
4. Hilbert transform and other transforms
5. Two-dimensional Fourier transforms and two-dimensional systems
6. Reconstruction from projections, Abel transform and Radon transform
II. Fourier optics:
1. Scalar diffraction theory, angular spectrum of plane waves
2. Fresnel and Fraunhofer diffraction
3. Fourier transforming and imaging properties of lenses
4. Frequency analysis of optical imaging systems
5.Spatial filtering and optical information processing
6. Introduction to holography (or wavefront-reconstruction imaging)
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課程目標 |
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課程要求 |
成績評量方式:
習題20% 期中考40% 期末考40%。
預修科目:具有系統與波動的基本觀念即可。 |
預期每週課後學習時數 |
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Office Hours |
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指定閱讀 |
教科書:
1. R. N. Bracewell, “The Fourier Transform and Its Applications,” 3rd ed., 2000 (McGraw Hill).
2.J. W. Goodman, “Introduction to Fourier Optics,” 2nd ed., 1996 (McGraw Hill).
3.講義。
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參考書目 |
參考書目:
1.A. Papoulis, “The Fourier Integral and Its Applications,” 1962.
2. K. Iizuka, “Engineering Optics,” 1985.
3. F. T. S. Yu, “Optical Information Processing,” 1983. |
評量方式 (僅供參考) |
No. |
項目 |
百分比 |
說明 |
1. |
homework |
20% |
習題 |
2. |
Mid-term exam |
40% |
期中考 |
3. |
Final Exam |
40% |
期末考 |
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週次 |
日期 |
單元主題 |
第1週 |
2018/09/11 |
1. Definition of Fourier Transform |
第3週 |
2018/09/25 |
2. Definitions of Generalized Functions |
第4週 |
2018/10/02 |
3. Fourier Transform Theorems |
第5週 |
2018/10/09 |
4. The Two Domains
5. Linear System and Fourier Transforms |
第6週 |
2018/10/16 |
5. Linear System and Fourier Transforms
6. Sampling and Interpolation |
第7週 |
2018/10/23 |
7. Discrete Fourier Transform
8. Principle of the FFT Algorithm |
第8週 |
2018/10/30 |
9. Two-dimensional Fourier Analysis |
第09週 |
2018/11/06 |
9. Two-dimensional Fourier Analysis |
第10週 |
2018/11/13 |
期中考 |
第11週 |
2018/11/20 |
1. Fourier Optics:Optics and Communication Theory
4. Fresnel and Fraunhofer Diffraction |
第12週 |
2018/11/27 |
Fourier Transforming and Imaging Properties of Lenses
DFT(FFT) examples in Matlab |
第13週 |
2018/12/04 |
6. Frequency Analysis of Optical Imaging Systems |
第14週 |
2018/12/11 |
6. Frequency Analysis of Optical Imaging Systems |
第15週 |
2018/12/18 |
6. Frequency Analysis of Optical Imaging Systems
8. Holography |
第16週 |
2018/12/25 |
7. Processing of Synthetic-Aperture Antenna Data
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第17週 |
2019/01/01 |
元旦
放假 |
第18週 |
2019/01/08 |
Final Exam
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第19週 |
2019/01/15 |
E-books
1. Computational Fourier Optics: A MATLAB Tutorial
https://www.spiedigitallibrary.org/ebooks/TT/Computational-Fourier-Optics-A-MATLAB-Tutorial/eISBN-9780819482051/10.1117/3.858456
2. Design and Fabrication of Diffractive Optical Elements with MATLAB
https://www.spiedigitallibrary.org/ebooks/TT/Design-and-Fabrication-of-Diffractive-Optical-Elements-with-MATLAB/eISBN-9781510607064/10.1117/3.2261461 |
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