Diffraction (6.161 Lab3) Tony Hyun Kim 10/21/2008.

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Presentation transcript:

Diffraction (6.161 Lab3) Tony Hyun Kim 10/21/2008

Topics to be discussed Introduction Experimental setup Diffraction theory Fraunhofer diffraction integral Experimental setup Patterns from apertures Single-slit Double-slit Rectangular aperture Rectangular grid Conclusions

Diffraction = Wave - Ray Although ray optics is intuitive… Light is a wave phenomenon

Fraunhofer diffraction integral

Fraunhofer intensity pattern

Setup to observe diffraction

Patterns from apertures We’ll present and analyze (Topic set 1): Single-slit Double-slit Rectangular aperture Rectangular grid

Single slit Note Fourier reciprocity in characteristic lengths Calculate slit width from pattern: b = 89 microns

Double slit Periodicity in aperture produces localization in pattern Calculate inter-slit distance: D = 6.5 mm

Rectangular aperture Just a slit in two dimensions Calculate aperture dimensions: b = 76 microns

Rectangular grid Again, periodicity  localization

Concluding remarks Verified Fraunhofer diffraction in lab General lessons: “Fourier pairing” between aperture and pattern Reciprocity in characteristic lengths. Periodicity of aperture  Localization of pattern Possibilities for metrology

Sources of images Lens system: http://www.trustedreviews.com/images/article/inline/4778-ZoomOut500.gif Fraunhofer planes: http://scienceworld.wolfram.com/physics/FraunhoferDiffraction.html Experimental setup: 6.161 Lab guide

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