課程介紹

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課程目標

本課程基於傅氏光學，藉由一系列之應用，瞭解傅氏光學之精髓，並培養未來進行傅氏光學相關研究之基礎。

修習條件

主要教本

1.Introduction to Fourier Optics 2nd Edition 第八、九章, J.W.Goodman
2.講義

內容大綱

本課程為進階傅氏光學，基於傅氏光學的基礎進一步介紹其在訊號處理與全像術的應用。
課程大綱: 
1. Fourier transforming property of lens 
2. Abbe-Porter experiment and Zernike phase-contrast microscope
3. Systems for convolution and correlation 
4. Image subtraction and differentiation using grating filters 
5. Pattern recognition using Vander Lugt correlator (Joint transform correlator)
6. Holography from communication point of view 
7. Range-Doppler Principle and Synthetic Aperture Radar data processing 
8. Deblurring using convolution (deblurring using inverse filter) 
9. Fast Fourier transform 
10. Binary Fourier transform hologram
11.Optical security by spatial filtering 
12.Systems based on geometrical optics 
13.Discrete analog optical processors 
14.Acoustic-optic signal processing systems 
15.Invariant pattern recognition (circular harmonic expansion, synthetic discriminant function, Mellin
transform,radial harmonic expansion)
16.Incoherent optical processing of complex data 
17.Computed Tomography (Fourier slice theorem and filtered back projection) 
18.Self-imaging 
19.Achromatic partially coherent processing
20.Interferometric imagery 
21.Achromatic system for holography, achromatic Fresnel diffraction, Achromatic optical processing
22.Space-variant optical processing, Superresolution, Fractional Fourier transform, …