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Relativistic theory of scalar and vector diffraction by planar apertures
Journal of the Optical Society of America A, 1992 Using pulse solutions to the wave and Maxwell equations as diffracting kernels, I develop a relativistic theory of scalar and vector diffraction by planar apertures lying upon a characteristic surface of the wave equation. The solution is obtained in a closed form, as is the solution for diffraction by half-planes and edges with plane waves as ...
Pïerre Hillion
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Scalar diffraction theory calculations for digital optical recording
Conference on Lasers and Electro-Optics, 1982 The theoretical aspects of the playback of an optical videodisk have been extensively investigated by Hopkins1 and others on the basis of scalar diffraction theory. In this paper we describe the results of similar theoretical calculations from the perspective of digital optical recording.
David Lou
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Linear systems formulation of non-paraxial scalar diffraction theory
SPIE Proceedings, 2011 Goodman's popular linear systems formulation of scalar diffraction theory includes a paraxial (small angle) approximation that severely limits the conditions under which this elegant Fourier treatment can be applied. In this paper a generalized linear systems formulation of non-paraxial scalar diffraction theory will be discussed.
James E. Harvey
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On Kirchhoff's theory in non-planar scalar diffraction
Proceedings of the Physical Society, 1967 Kirchhoff's integrals for a slit aperture formed in a non-planar screen are evaluated over the plane aperture and over the extended aperture. These are compared with an interative asymptotic solution of the integral equations, and with experimental measurements for slit widths of 3, 5, 6 and 10 wavelengths.
Hai Siong Tan
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Fourier treatment of near-field scalar diffraction theory
American Journal of Physics, 1979 A general treatment of scaler diffraction theory is presented and some interesting concepts are discussed which yield new insight into the phenomena of diffraction throughout the whole space in which it occurs. The direct application of Fourier transform theory to the diffraction process results in two equivalent descriptions of the diffracted wave ...
James E. Harvey
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Modern scalar diffraction theory
SPIE Proceedings, 2011We review the history of scalar diffraction theory from the classical approach of Kirchkoff, Rayleigh and Sommerfeld, to the modern ideas introduced by Duffieux that eventually led to the use of distribution theory by Arsac , and finally to the derivation of the expressions using quantum mechanics and relativity.
Henri H. Arsenault +1 more
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