chapter24 - Chapter 24 Wave Optics Wave Optics The wave...

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Chapter 24 Wave Optics
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Wave Optics The wave nature of light is needed to explain various phenomena Interference Diffraction Polarization The particle nature of light was the basis for ray (geometric) optics
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Interference Light waves interfere with each other much like mechanical waves do All interference associated with light waves arises when the electromagnetic fields that constitute the individual waves combine
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Conditions for Interference For sustained interference between two sources of light to be observed, there are two conditions which must be met The sources must be coherent They must maintain a constant phase with respect to each other The waves must have identical wavelengths
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Producing Coherent Sources Light from a monochromatic source is allowed to pass through a narrow slit The light from the single slit is allowed to fall on a screen containing two narrow slits The first slit is needed to insure the light comes from a tiny region of the source which is coherent Old method
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Producing Coherent Sources, cont Currently, it is much more common to use a laser as a coherent source The laser produces an intense, coherent, monochromatic beam over a width of several millimeters The laser light can be used to illuminate multiple slits directly
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Young’s Double Slit Experiment Thomas Young first demonstrated interference in light waves from two sources in 1801 Light is incident on a screen with a narrow slit, S o The light waves emerging from this slit arrive at a second screen that contains two narrow, parallel slits, S 1 and S 2
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Young’s Double Slit Experiment, Diagram The narrow slits, S 1 and S 2 act as sources of waves The waves emerging from the slits originate from the same wave front and therefore are always in phase
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Resulting Interference Pattern The light from the two slits form a visible pattern on a screen The pattern consists of a series of bright and dark parallel bands called fringes Constructive interference occurs where a bright fringe appears Destructive interference results in a dark fringe
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Fringe Pattern The fringe pattern formed from a Young’s Double Slit Experiment would look like this The bright areas represent constructive interference The dark areas represent destructive interference
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Interference Patterns Constructive interference occurs at the center point The two waves travel the same distance Therefore, they arrive in phase
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Interference Patterns, 2 The upper wave has to travel farther than the lower wave The upper wave travels one wavelength farther Therefore, the waves arrive in phase A bright fringe occurs
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Interference Patterns, 3 The upper wave travels one-half of a wavelength farther than the lower wave The trough of the bottom wave overlaps the crest of the upper wave This is destructive interference A dark fringe occurs
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Interference Equations The path difference,
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This note was uploaded on 04/12/2011 for the course PHYS 1410 taught by Professor Staff during the Spring '08 term at North Texas.

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chapter24 - Chapter 24 Wave Optics Wave Optics The wave...

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