SLIDE 1
- 1. Introduction
1.
Diffraction theory
2.
Fraunhofer diffraction integral
- 2. Experimental setup
- 3. Patterns from apertures
1.
Single-slit
2.
Double-slit
3.
Rectangular aperture
4.
Rectangular grid
- 4. Conclusions
Tony Hyun Kim 10/21/2008 1. Introduction Diffraction theory 1. - - PowerPoint PPT Presentation
Tony Hyun Kim 10/21/2008 1. Introduction Diffraction theory 1. - - PowerPoint PPT Presentation
Tony Hyun Kim 10/21/2008 1. Introduction Diffraction theory 1. Fraunhofer diffraction integral 2. 2. Experimental setup 3. Patterns from apertures Single-slit 1. Double-slit 2. Rectangular aperture 3. Rectangular grid 4. 4. Conclusions
SLIDE 2
SLIDE 3
Although ray optics is intuitive… Light is a wave phenomenon
SLIDE 4
' ) ' ' ( 2 ) ( 2
' ' ) ' , ' ( ' ) , (
2 2
dy dx e y x u z i e e y x U
y y x x z i y x z ik ikz
'
SLIDE 5
2 2
)) ' , ' ( ' ( ) , ( y x u F y x U I
'
SLIDE 6
SLIDE 7
We’ll present and analyze (Topic set 1):
- 1. Single-slit
- 2. Double-slit
- 3. Rectangular aperture
- 4. Rectangular grid
SLIDE 8
b
b z 2
Note Fourier reciprocity in characteristic lengths
Calculate slit width from pattern: b = 89 microns
SLIDE 9
Periodicity in aperture produces localization in pattern
Calculate inter-slit distance: D = 6.5 mm
D
D z 2
SLIDE 10
Just a slit in two dimensions
Calculate aperture dimensions: b = 76 microns
SLIDE 11
Again, periodicity localization
SLIDE 12
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
SLIDE 13
Lens system: http://www.trustedreviews.com/images/article/inline/4778-ZoomOut500.gif
Fraunhofer planes: http://scienceworld.wolfram.com/physics/FraunhoferDiffraction.html