On the theory of scalar diffraction and its application to the prolate spheroid

Scalar scattering of a plane wave by a perfectly reflecting body whose surface is a level surface in a coordinate system in which the scalar wave equation is separable is considered. A general method for the computation of the surface distribution is described. This method reduces the problem of finding the surface distribution to that of evaluating a certain contour integral. The distribution induced on a prolate spheroid by an axially-symmetric plane wave is specifically computed. The evaluation by residues of the contour integral, given by the general theory, leads to the expected "creeping wave" interpretation of the residue series in which the attenuation of the "creeping waves" depends, in first approximation, on the local radius of curvature. The asymptotic theory used is applicable for large values of c[omega], where 2c is the interfocal distance of the spheroid and [omega] is the wave number. The surface distribution is computed over the entire shadow region including the tip.Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/32464/1/0000548.pd

Tables of fractional powers.

"Tables prepared by the Mathematical Tables Project": [3] p. at end."Bibliography of fractional powers": p. xvii-xxx.Mode of access: Internet

Table of circular and hyperbolic tangents and cotangents for radian arguments,

"Tables prepared by the Mathematical tables project": [4] p. at end.Reproduced by a photo-offset process."Bibliography of tables of circular and hyperbolic tangents and cotangents, and of closely related functions": p. xxiii-xxxviii.Mode of access: Internet

Table of sine and cosine integrals for arguments from 10 to 100.

"Other tables by the Mathematical tables project": p. [186]-[187]"One of a series of mathematical tables prepared by the Mathematical Tables Project."--Pref."Reproduced by a photo offset process."--Acknowledgment."Bibliography for tables": p. xxv-xxviii. "Applications": p. xxix-xxx. "Reference texts": p. xxxi-xxxii.Mode of access: Internet

Tables of Lagrangian interpolation coefficients.

"Errata" slip mounted on p. [xi]"Other tables prepared by the Mathematical Tables Project": [2] p. at end.Reproduced from type-written copy."Bibliography of tables": p. [xxxv]-xxxvi.Mode of access: Internet

Tables of spherical Bessel functions.

Mode of access: Internet

Table of the first ten powers of the integers from 1 to 1000 ... December 1, 1938.

"Prepared by the 'Project for the computation of mathematical tables' sponsored by Dr. Lyman J. Briggs, director of the National bureau of standards, Washington, D.C., and under the auspices of the U.S. Works progress administration of New York city."--Pref.Mimeographed.Each section and introduction preceded by half-title not included in the paging.On cover: ... Project for the Computation of mathematical tables.Mode of access: Internet