MSN 510 Notes

1. MSN 510 Notes 2. Fundamental Concepts in Image Formation and Processing

2. Outline • Summary: Huygens-Fresnel Principle • The Fourier Transform • Diffraction from a single aperture • Convolution • Coherence of a lightwave: White light vs laser • What is a Lens? • Fourier Transforming property of a lens • Optical Filtering • The Eye • Magnifying Glass • A Simple Microscope

3. Huygens-Fresnel Principle • Each Point acts as a point source • Complex wave amplitude is calculated by adding up all contributions from source points

4. Radiation pattern • A polar plot of the intensity of from a source (measured far away from the source)

5. The Fourier Transform • We write a 1D or 2D function as the sum of sinusoids. Convolution and fourier transforms

6. Convolution • Formal Definition

9. Diffraction from a single aperture • Slit

10. Diffraction and FT

15. Coherence • A measure of how sinusoidal the light is • Or the length over which it interferes with itself

17. What is a lens? Ray transfer matrices Thin lens Free Space

24. Interesting Example