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MSN 510 Notes

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

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MSN 510 Notes

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  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

  7. Diffraction from a single aperture • Slit

  8. Diffraction and FT

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

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

  11. Interesting Example

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