
Accession Number : AD0707776
Title : SOLUTION OF THE HELMHOLTZ EQUATION ON A SQUARE FOR A REACTIVE SCATTERING MODEL.
Descriptive Note : Technical summary rept.,
Corporate Author : WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER
Personal Author(s) : Robinson,Peter D.
Report Date : OCT 1969
Pagination or Media Count : 14
Abstract : Solutions of the Helmholtz equation ((the second partial derivative with respect to x) + (the second partial derivative with respect to y) + k squared + 1)psi = 0 describing a simple scattering process in an Lshaped region are studied. To obtain the correct expansion for psi(x,y) on the square corner of the Lshape when k = 1, it is found necessary to replace terms sin kx sin y and sin x sin ky by sin x sin y and (x cos x sin y  y cos y sin x). Terms similar to the latter have been neglected by previous authors and spurious resonances found in consequence. (Author)
Descriptors : (*PARTIAL DIFFERENTIAL EQUATIONS, QUANTUM THEORY), (*BOUNDARY VALUE PROBLEMS, NUMERICAL INTEGRATION), WAVE FUNCTIONS
Subject Categories : Numerical Mathematics
Quantum Theory and Relativity
Distribution Statement : APPROVED FOR PUBLIC RELEASE