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Wavetrains and Coherency. © 2006 Walter Fendt Beats Animation

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Presentation on theme: "Wavetrains and Coherency. © 2006 Walter Fendt Beats Animation"— Presentation transcript:

1 Wavetrains and Coherency

2 © 2006 Walter Fendt Beats Animation

3 y(x) = Sin x © SPK

4 y(x) = [Sin x + Sin (1.08 x)]/2 © SPK

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

6 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

7 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

8 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

9 Solitary pulse

10 For -L +L E0E0

11 Fourier integral

12

13 k p =2

14 Wave packet or Wave group for k p =k

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

16

17 Temporal coherence: Coherence time: Coherence length: © SPK

18 Spectral lines from helium gas tube

19 A characteristic Spectral line

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

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

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

23 Coherence time Coherence length


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