6533b861fe1ef96bd12c46af

RESEARCH PRODUCT

Method for Computing Scattering Matrices

Lev BaskinOleg SarafanovBoris PlamenevskiiPekka Neittaanmäki

subject

Matrix (mathematics)ScatteringBounded functionMathematical analysisWaveguide (acoustics)Boundary value problemFredholm alternativeDomain (mathematical analysis)MathematicsExponential function

description

Chapter 4 presents statement and justification of a method for approximate computing a waveguide scattering matrix. As an approximation to a row of such a matrix, a minimizer of a quadratic functional is suggested. To construct the functional, one has to solve a boundary value problem in a bounded domain obtained by cutting off the cylindrical ends of the waveguide at distance R. The minimizer tends to the scattering matrix row at exponential rate as R increases to infinity.

yearjournalcountryeditionlanguage
2021-01-01
https://doi.org/10.1007/978-3-319-15105-2_4