Accession Number : AD0646793

Title :   TABLES OF SPHEROIDAL WAVE FUNCTIONS. PART I. OBLATE RADIAL FUNCTIONS OF THE FIRST AND SECOND TYPE.

Descriptive Note : Interim rept.,

Corporate Author : NAVAL RESEARCH LAB WASHINGTON D C

Personal Author(s) : Hanish,S. ; Shely,Carolyn ; Baier,R. V.

Report Date : 23 DEC 1966

Pagination or Media Count : 400

Abstract : The theory of oblate spheriodal wave functions is briefly reviewed and a list of literature references to applications of oblate spheroidal theory is furnished. Formulas useful for the numerical calculation of oblate radial functions 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 obtained and method of checking. Finally a computer-printout tabulation of 72,300 entries comprising radial functions and their derivatives is reproduced. The range of parameters m, l, h, and xi covered in these tables is m = 0 (1) 4, l = m (1) 8, h = 0.1 (0.1) 1 (0.2) 8, and xi = 0.1 (0.1) 0.9. To these are added several special sections. A special section xi = 0 covers all the above ranges of h and l for m = 0 (1) 8. Another section xi = 0 covers the above range of h for m = 0, 1 and l = 9 (1) 18.

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

Subject Categories : Theoretical Mathematics
      Acoustics
      Radiofrequency Wave Propagation

Distribution Statement : APPROVED FOR PUBLIC RELEASE