Transfer Matrix Formulation of Scattering Theory in Arbitrary Dimensions

Ali Mostafazadeh (Koç University) in collaboration with

Farhang Loran (Isfahan Univ. Tech.)

Supported by Turkish Acad. Sci. & TÜBİTAK (Project 112T951)

Outline:

-  Introduction: Transfer matrix versus S-matrix in 1D

-  Statement of the problem

-  Transfer matrix in 1D as a non-unitary S-matrix

-  Transfer matrix in 2D: Definition & properties

-  Applications: Delta-function potential in 2D & slab

laser with a surface line defect

-  Generalization to 3D