課程介紹

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課程目標

傅氏光學是光波在自由空間或光學系統中傳播的基礎理論，以較簡易的方式處理干涉與繞射的問題，是光學資訊處理與全像光學的重要基本課程。  

修習條件

主要教本

Introduction to Fourier Optics (3rd edition) by J. W. Goodman Coherent Optics and Information Processing by Y. S. Cheng

內容大綱

1. Linear System and Fourier
Transform
Plane wave, spatial frequency, and
inverse Fourier transform
Fourier transform theorems
Convolution and correlation
Fourier-Bessel transform
Linear systems, invariant linear
systems
Whittaker-Shannon sampling
theorem
2. Scalar Diffraction Theory
Kirchhoff and Rayleigh-Sommerfeld
formulation
Angular spectrum of plane waves
Talbot effect
3. Fresnel and Fraunhofer Diffraction
Approximation from Huygens-
Fresnel principle
Fraunhofer diffraction: rectangular
and circular apertures, amplitude
and phase gratings
Fresnel diffraction: straight edge
and square aperture
4. Fourier Transform and Imaging
Properties of Lenses
Phase transformation of lens
Fourier transforming properties of
lenses: objects in front of,
against, and behind lenses
Imaging properties of lenses
5. Frequency Analysis of Optical
Imaging Systems
Frequency response for coherent
and incoherent imaging systems
Effect of aberration on frequency
response
Comparison of coherent and
incoherent imaging
6. Optical Information Processing
and Holography
Abbe-Porter experiment, Phase-
Contrast microscope, Optical
pattern recognition, Holographic
principle...