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Unformatted text preview: 1 PHYS132 FALL2010 Instructor : A. Meenakshi Ph.D. Email: ameenaks@binghamton.edu Office: Science II, Room 154 Office Hours: Tues Friday 10:00 am 11:15 am 2 Topics: Light and Optics The Interference of Light (due to wave front division) The Diffraction Grating SingleSlit Diffraction CircularAperture Diffraction Interferometers (Amplitude Division) Chapter 22. Wave Optics 3 Chapter 22 Wave Optics Understand lights characteristics wave, particle, and particle and wave; Phenomena where each of these nature manifests show me the evidence! Wave nature Calculate interference due to double slits, and multiple slits (a.k.a. diffraction gratings) Huygens' Principle Understand diffraction pattern (single slit, circular aperture and circular disk ), Resolution Interference Amplitude division Michelsons interferometer. 4 Models of Light The wave model: under many circumstances, light exhibits the same behavior as sound or water waves. The study of light as a wave is called wave optics . The ray model: The properties of prisms, mirrors, and lenses are best understood in terms of light rays . The ray model is the basis of ray optics . The photon model: In the quantum world, light behaves like neither a wave nor a particle. Instead, light consists of photons that have both wavelike and particlelike properties. This is the quantum theory of light. 5 6 Interference Youngs DoubleSlit Experiment If light is a wave, interference effects will be seen, where one part of wavefront can interact with another part. One way to study this is to do a doubleslit experiment: 7 Interference of Light Youngs DoubleSlit Experiment If light is a wave, interference effects will be seen, where one part of wavefront can interact with another part. Conditions for interference: (a)The sources must be coherent. i.e. they should have constant phase difference and (b) have the exact same wavelength (monochromatic). The coherence conditions are hard to attain with natural sources; So, we use a single source and split the output to produce interference. wavefront division; 8 9 10 From last chapter: Constructive interference: r = m where m=0, 1, 2, 3,... (1) From the figure: r = dsin Thus, we get bright fringes (constructive interference) if r = dsin m m = 11 Analyzing DoubleSlit Interference The m th bright fringe emerging from the double slit is at an angle where m is in radians, and we have used the smallangle approximation. The yposition on the screen of the m th fringe is while dark fringes are located at positions Snapshot of Interference 12 13 Locating fringes example: A double slit system is illuminated by a light source of...
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 Spring '08
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