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Straight-edge Diffraction of Planck Radiation

Published

Author(s)

Peter J. Mohr, Eric L. Shirley

Abstract

The irradiance diffraction profile of a straight edge is given as a Taylor series in powers of the distance from the geometrical shadow boundary to any point in the profile for monochromatic radiation. The coefficients of the series, which are obtained as simple analytic expressions, are proportional to the real part of a complex phase factor that cycles through a complete period for every eight terms in the series. Integration of this series over a Planck distribution of radiation yields the power series for the Planck profile; this derived series has a finite radius of convergence. The asymptotic series for the Planck profile far from the shadow boundary and beyond the radius of convergence of its power series is obtained by analytic continuation of the power series with the aid of a Barnes type of integral representation.
Citation
Physical Review E (Statistical, Nonlinear, and Soft Matter Physics)

Keywords

asymptotic, diffraction, Fresnel, Planck, straigh-edge

Citation

Mohr, P. and Shirley, E. (2008), Straight-edge Diffraction of Planck Radiation, Physical Review E (Statistical, Nonlinear, and Soft Matter Physics) (Accessed May 27, 2024)

Issues

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Created October 16, 2008