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Diffraction of Scalar Pulses at Plane Apertures: A Different Approach

Pierre Hillion

Dr. Pierre Hillion

Institut Henri Poincare

France

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, Vol. 33, 183-197, 2001

doi:10.2528/PIER01021202

Abstract

We generalize to scalar pulses with finite duration a previous work [1] in which a new approach to diffraction at plane apertures is developed for scalar harmonic waves. A particular attention is given to rectangular pulse modulated signals for which an exact solution to the diffraction problem is obtained. As an example, the diffraction of a truncated harmonic pulse is investigated and the numerical problems to be solved are discussed with an important simplification when one is only interested in the diffraction pattern far from the aperture. More works are needed for apertures with no simple geometrical form.

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Pierre Hillion, "Diffraction of Scalar Pulses at Plane Apertures: A Different Approach," , Vol. 33, 183-197, 2001.
doi:10.2528/PIER01021202

References

1. Hillion, P., "Diffraction of scalar waves at plane apertures: a different approach," J. Electrmgn. Waves and Appl., Vol. 14, 1677-1699, 2000.

2. Olver, F. W. J., Asymptotics and Special Functions, Academic Press, 1974.

3. Born, M. and E. Wolf, Principles of Optics, Pergamon Press, 1965.

4. Dahlquist, G., Numerical Inversion of Fourier and Laplace Transforms, Vol. 33, 65-98, BIT, 1993.