By Professor Koichi Shimoda (auth.)
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Extra info for Introduction to Laser Physics
8. The degree of coherence is seen to decrease when the time difference r is larger than about 1/w, even though the atomic damping time is much longer . Problems 33 1111 1 IYlll r Fig. 7. 28) Fig. 8. 1 In performing Young's experiment using a red He-Ne laser, we wish to observe interference fringes of 3 mm period on a screen at a distance 1 m from the double slit. Find the separation of the slits in this experiment. 21 mm. 2 Explain why the slit Po in Fig. 2 is necessary in Young's experiment. What happens if the slit Po is too wide or too narrow?
As shown in Fig. 6, the normal to the reflecting surfaces is taken to be the z axis, and the reflecting surfaces are placed at z = 0 and z = L. The direction of polarization is taken along the x axis and the reflecting surfaces are assumed to be perfect conductors. 15). Since Ex = 0 at the perfectly conducting surface at z = 0, we have F1 = - F2 in this case. 54) Since Ex = 0 also at z = L, we must have sin kL = O. 55) L are permissible. Here n is an integer. When L is very much longer than the wavelength of the light, n is a very large number.
The expression for the p- or s-component of the refracted wave becomes Eil = A" exp [-ik 2(xn12 sin 0 ± iz yni2 sin20 - 1)] . 39) Thus the electric field in the medium for z > 0 is Eil = A" exp (-k 2yni2sin20-1 z) exp [-i (k2n12sinO)x] . 40) Since the factor exp (imt) has been dropped, this equation shows that the amplitude of the plane wave propagating in the x direction diminishes exponentially with z. Such a wave is called an evanescent wave. The depth Zev at which the amplitude of the evanescent wave becomes 1/e of its amplitude at z = 0 is given by zev = ~ / 2 1 2 k 2 V n12 sm 0 - 1 .