Accession Number : AD0650575

Title :   TABLES OF SPHEROIDAL WAVE FUNCTIONS. PART 2 - PROLATE RADIAL FUNCTIONS OF THE FIRST AND SECOND TYPE,

Corporate Author : NAVAL RESEARCH LAB WASHINGTON DC

Personal Author(s) : Hanish, S. ; Baier, R. V. ; Buckler, W. H. ; Carmichael, Berthel K.

Report Date : 31 JAN 1967

Pagination or Media Count : 385

Abstract : The theory of prolate spheroidal wave functions is briefly reviewed. Formulas useful for the numerical calculation of prolate radial function of the first and second type, together with their first derivatives, are derived and explained. A step-by-step procedure of computation is then outlined together with an indication of precision achieved and method of checking. Finally a computer-printout tabulation of 66,600 entries comprising prolate radial functions and their first derivatives of both types is reproduced. The range of parameters m, l, h, and xi covered in these tables is m=0 and 1, l=m(1)18, h=0.1(0.1)1(0.2)8, and xi=1.01(0.01) 1.10. (Author)

Descriptors :   *WAVE FUNCTIONS, TABLES(DATA), ELECTROMAGNETIC RADIATION, MECHANICAL WAVES, ACOUSTICS, SCATTERING, DIFFRACTION, UNDERWATER SOUND, GEOMETRY.

Subject Categories : Theoretical Mathematics
      Acoustics
      Radiofrequency Wave Propagation

Distribution Statement : APPROVED FOR PUBLIC RELEASE