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Published byBlake McGinnis Modified over 2 years ago

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Wavetrains and Coherency

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© 2006 Walter Fendt Beats Animation

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y(x) = Sin x © SPK

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y(x) = [Sin x + Sin (1.08 x)]/2 © SPK

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y(x) = [Sin x + Sin(1.04 x) + Sin (1.08 x)]/3 © SPK 0 < x < 200

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y(x) = [Sin x + Sin(1.02 x) + Sin (1.04 x) + Sin(1.06 x) + Sin (1.08 x)]/5 © SPK 0 < x < 400

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y(x) = [Sin x + Sin(1.01 x) + Sin (1.02 x) + Sin(1.03 x) + Sin (1.04 x) + Sin (1.05 x) + Sin (1.06 x) + Sin (1.07 x) + Sin (1.08 x)]/9 © SPK 0 < x < 400

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y(x) = [Sin x + Sin(1.01 x) + Sin (1.02 x) + Sin(1.03 x) + Sin (1.04 x) + Sin (1.05 x) + Sin (1.06 x) + Sin (1.07 x) + Sin (1.08 x)]/9 © SPK

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Solitary pulse

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For -L +L E0E0

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Fourier integral

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k p =2

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Wave packet or Wave group for k p =k

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Frequency Bandwidth Range of frequency k (or ) in wavetrain ( k) (or

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Temporal coherence: Coherence time: Coherence length: © SPK

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Spectral lines from helium gas tube

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A characteristic Spectral line

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Spectral line broadening 1.Natural linewidth 2.Doppler broadening 3.Collision broadening 4.Pressure broadening

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Red Cadmium= 6438 Å = Hz, 30 cm Yellow Sodium = cm = 5893 Å He-Ne Laser 6328 Å 300 m = 10 6 Hz, © SPK

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Kr discharge lamp has roughly the following intensity distribution at various wavlengths, (in nm), Estimate the coherence length of the Kr source.

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Coherence time Coherence length

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