Accession Number : AD0710313

Title :   ON HALF-RANGE EXPANSION THEOREMS IN STUDIES OF POLARIZED LIGHT,

Corporate Author : NORTH CAROLINA STATE UNIV RALEIGH DEPT OF MATHEMATICS

Personal Author(s) : Burniston,E. E. ; Siewert,C. E.

Report Date : 27 JUN 1970

Pagination or Media Count : 19

Abstract : The established normal modes of the vector equation of transfer describing the transport of polarized light are used to construct solutions to typical half-space problems. The half-range completeness theorem required by this method is discussed in the context of systems of singular integral equations. Although the Riemann-Hilbert problem encountered here is defined in terms of continuous rather than Holder continuous functions, the existence of a canonical solution is established, and the developed properties of this canonical matrix are used to complete the proof of the necessary half-range expansion theorem. (Author)

Descriptors :   (*LIGHT TRANSMISSION, *INTEGRAL EQUATIONS), THERMAL RADIATION, PARTIAL DIFFERENTIAL EQUATIONS, MATRICES(MATHEMATICS), NUMERICAL INTEGRATION, POLARIZATION

Subject Categories : Theoretical Mathematics
      Optics

Distribution Statement : APPROVED FOR PUBLIC RELEASE