Question: Suppose a given aperture produces a Fraunhofer field pattern E(Y, Z). Show that if the apertures dimensions are altered such that the aperture function goes

Suppose a given aperture produces a Fraunhofer field pattern E(Y, Z). Show that if the aperture€™s dimensions are altered such that the aperture function goes from A(y, z) to A(αy, βz), the newly diffracted field will be given by

1 E'(Y, Z) = - aß α' β

1 E'(Y, Z) = - a '

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