6533b870fe1ef96bd12cf30e

RESEARCH PRODUCT

Properties of Scattering Matrices in a Vicinity of Thresholds

Lev BaskinPekka NeittaanmäkiOleg SarafanovBoris Plamenevskii

subject

PhysicsSequenceMatrix (mathematics)ScatteringMatrix functionContinuous spectrumWaveguide (acoustics)Linear spanComputational physics

description

Chapter 3 is devoted to various properties of a waveguide scattering matrix, which is a matrix function on the waveguide continuous spectrum. There is a sequence of threshold values of the spectral parameter where the scattering matrix changes its size; the thresholds accumulate at infinity. In particular, both two-sided limits of the scattering matrix are calculated at every threshold.

https://doi.org/10.1007/978-3-030-66456-5_3