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Optics Homework 1...748220677e2a.pdf
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Optics Homework 1
1.
2.2* Show that the function
$(y, t) = (y – 40)
is a solution of the differential wave equation. In what direction does it
travel?
2.
2.6 How many wavelengths of a green laser (1 = 532 nm) can fit into
a distance equal to the thickness of a human hair (100 um)? How far
will the same number of waves extend if they originate from a micro-
wave oven (v = 2.45 GHz)?
3.
2.38 Which of the following expressions correspond to traveling
waves? For each of those, what is the speed of the wave? The quanti-
ties a, b, and c are positive constants.
(a) (z, t) = (az – bt)?
(b) y(x, t) = (ax + bt + c)2
(c) 4(x, t) = 1/(ar? + b)
4.
2.43 Write an expression for the wave shown in Fig. P.2.43. Find its
wavelength, velocity, frequency, and period,
Figure P.2.43 A harmonic wave.
I=0
40
100
300
500
-20
401
-60
0.66 X 10-15
(nm)
100
300
500
I = 1.33 X 10-15
(nm)
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