SKM 2023 – scientific programme

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CPP: Fachverband Chemische Physik und Polymerphysik

CPP 17: Poster Session I

CPP 17.23: Poster

Monday, March 27, 2023, 18:00–20:00, P3

Critical Conditions in Transfer Matrix Methods — •Reinhard Sigel — Independent Scientist, Markdorf, Germany

The propagation of light in a layered refractive index profile is well described by transfer matrix methods (TMMs) [1]. Critical conditions (CC) occur when the wave vector perpendicular to the layering becomes zero. This case can be encountered in a total reflection geometry. Conventional TMMS become singular for CC. We discuss the divergence of layer amplitudes when one approaches CC. It is furthermore elucidated, how this divergence shows up in different experiments. New types of basis functions for a TMM based on virtually linear functions to circumvent the singularity have been introduced recently [2].

[1] J. Lekner, Theory of reflection of electromagnetic and particle waves, Martinus Nijhoff Publisher, Dodrecht, 1987.

[2] R. Sigel, Light Propagation in Layered Media in a Total Reflection Geometry: A Transfer Matrix Method Using Virtually Linear Basis Functions to Handle Critical Conditions, J. Opt. Soc. Am. A, accepted.