Integral identities for reflection, transmission, and scattering coefficients

Spectral singularities of complex scattering potentials and infinite reflection and transmission coefficients at real energies.

Spectral singularities are spectral points that spoil the completeness of the eigenfunctions of certain non-Hermitian Hamiltonian operators. We identify spectral singularities of complex scattering potentials with the real energies at which the reflection and transmission coefficients tend to infinity, i.e., they correspond to resonances having a zero width. We show that a waveguide modeled usi...

Scale and Frequency Dependence of Reflection and Transmission Coefficients

Well-logs show that heterogeneities occur at many different spatial scales. In this paper, we want to characterize how waves are affected by these heterogeneities, and we study how reflection and transmission coefficients depend on temporal frequency and spatial scale. We use wavelet transformations to filter certain spatial scales from the velocity logs. The scale-filtered logs serve as input ...

Expressions for reflection and transmission coefficients for one-dimensional photonic quasicrystals

We give general expressions for the light reflection and transmission coefficients for one-dimensional (1D) photonic quasicrystals in the framework of the so-called two-wave approximation. A special attention is paid to quasicrystals composed of dielectric layers, where the reflection and transmission coefficients as a function of the length of the structure take a simple form. The expression f...

Phases of the SAW reflection and transmission coefficients for short reflectors on 128 ̊ LiNbO3

Symmetry relations for reflection and transmission coefficients of magneto-optic systems

In magneto-optic systems, Kerr and Faraday effects bring into play reflection and transmission matrices. Considering planar multilayer systems, we show that the elements of the reflection and transmission matrices obey general and simple relations valid whatever the geometry of the magneto-optic device may be. 2002 Elsevier Science B.V. All rights reserved.