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Extension of the Theory of the Boundary Diffraction Wave to Systems with Arbitrary Aperture-Transmittance Function

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Abstract

In 1962, Miyamoto and Wolf succeeded in formulating the boundary-diffraction-wave theory for a general incident wave. In this paper, the theory is applied to the aperture having an arbitrary transmittance distribution, and it is found that every point where the gradient of the transmittance distribution is not zero is the origin of a secondary wave. The boundary diffraction wave can be expressed by the wave that originates at the points where the gradient of the transmittance distribution is the Dirac delta function. Hence, it seems reasonable that the diffraction wave, which is generated from the aperture point where the gradient of transmittance is not zero, is more general for discussion of diffraction problems.

© 1971 Optical Society of America

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