A circularly polarized plane wave moving in the z direction has a finite extent in the x

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A circularly polarized plane wave moving in the z direction has a finite extent in the x and ?? directions. Assuming that the amplitude modulation is slowly varying (the wave is many wavelengths broad), show that the electric and magnetic fields are given approximately by

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where e1, e2, e3 are unit vectors in the x, y, z directions.

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