37 physicalOptics

37 physicalOptics - Craig Ogilvie Craig Ogilvie 11 Review...

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Unformatted text preview: Craig Ogilvie Craig Ogilvie 11 Review Lecture 36: Huygens’ Principle § All points on a wavefront serve as point sources of secondary wavelets in this example spherical wavefronts add up to straight wavefront Craig Ogilvie Craig Ogilvie 22 Multiple Waves from a Single Slit interference two of many secondary wavelets each and every part of plane wave generates secondary waves 1,2,3... m ) sin( slit single of width is a ) sin( = = = λ θ λ θ m a a First Minimum occurs at the following angle (single-slit diffraction) Craig Ogilvie Craig Ogilvie 33 Goals for Today § Ramifications of diffraction § Diffraction through circular hole § Ability to optically distinguish two nearby objects Craig Ogilvie Craig Ogilvie 44 Question: On screen, 1st round § Visible light shines on a slit 1cm by 5cm § Qualitatively, which is the approx. picture of light on the screen? § Diagrams are drawn to scale 1 2 1. 1 2. 2 76 of 340 Craig Ogilvie Craig Ogilvie 55 Question: On screen, 2nd round 48% 52% 38% 62% 1 2 § Visible light shines on a slit 1cm by 5cm § Qualitatively, which is the approx. picture of light on the screen? § Diagrams are drawn to scale 1 2 “geometric shadow” (size of opening) >> λ 1. 1 2. 2 77 of 342 Craig Ogilvie Craig Ogilvie 66 Ray vs Wave Model of Light § Two models of light – ray model => geometric optics – wave model => accounts for interference, diffraction § Both are useful, but have limited range of applicability – if (size of objects, openings) >> λ » can use ray model – if (size of objects, openings) ~ λ » must use wave model Craig Ogilvie Craig Ogilvie 77 Small Circular Hole § When diameter comparable to wavelength of light – circular rings, dark regions of destructive interference Complicated, Huygen wavelets from each point within hole Interfere, first minimum occurs at an angle θ from center line D λ θ 22 . 1 ) sin( = very small hole, diameter D Craig Ogilvie Craig Ogilvie 88 Ramifications § Two distinct, far point objects => two images if large θοβ, τ ϖ ο σεπαρατ ε...
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37 physicalOptics - Craig Ogilvie Craig Ogilvie 11 Review...

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