03. Diffraction Integrals (Fresnel + Fraunhofer propagation, Point Spread Function, Fourier optics)
Lecture notes: https://drive.google.com/drive/folder...
ERRATA: at 7:29, the condition for Fresnel diffraction should read 1/2*(rho/lambda)^4/3 less than z/lambda. (Thanks to Mohammed ElKabbash for pointing this out)
0:54 Huygens' principle and the Rayleigh-Sommerfeld integral
3:00 Fresnel and Fraunhofer approximations
5:58 Overview of diffraction integrals
6:40 Validity of the Fresnel and Fraunhofer approximations, Fresnel number
8:59 Relation between ray optics and wave optics
9:46 Deriving the transmission function of a thin convex lens
10:50 Deriving the thin lens equation using wave optics
11:44 Deriving the magnification using wave optics
13:18 Introducing the pupil function, deriving the Point Spread Function (PSF)
16:16 Effect of the PSF on the imaging resolution
18:25 Coherent and incoherent imaging by convolving the object with the PSF
20:56 Coherent and incoherent imaging using transfer functions
22:34 The Fourier transforming property of a lens
24:59 Fourier filtering, dark field imaging, phase contrast imaging
Other sources:
Introduction to Fourier Optics, Joseph W. Goodman
Microscopy: Measuring The Point Spread Function (Nico Stuurman)
• Microscopy: Measuring The Point Sprea...
