Question: Derive a formula for the energy-flux diffraction pattern F(x) of a slit with width a, as a function of distance x from the center of

Derive a formula for the energy-flux diffraction pattern F(x) of a slit with width a, as a function of distance x from the center of the slit, in terms of Fresnel integrals. Plot your formula for various distances z from the slit’s plane (i.e., for various values

and compare with Fig. 8.4.

Fig. 8.4.

of r F/a = ^z/a),

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