Spectral properties of spiral-shaped quantum waveguides

Transmittance of MIM Waveguides Containing Semi-Circular Ring Shaped and Rectangular Ring Shaped Grooves

In this paper the transmittance of metal-insulator-metal (MIM) waveguides containing semi-circular ring shaped and rectangular ring shaped grooves are investigated. By varying groove parameters their effects on the transmittance of the MIM waveguides are investigated. The results show that the transmittance spectra of the waveguides have maximum and minimum points, and by using appropriate para...

Periodic Optical Waveguides: Exact Floquet Theory and Spectral Properties

We consider the steady propagation of a light beam in a planar waveguide whose width and depth are periodically modulated in the propagation direction. Using methods of soliton theory, a class of periodic potentials is presented for which the complete set of Floquet solutions of the linear Schrödinger equation can be found exactly at a particular optical frequency. For potentials in this class,...

Propagation properties of light in AlGaN/GaN quantum-well waveguides

Spectral Properties of Finite Quantum Hall Systems ∗

In this note we review spectral properties of magnetic random Schrödinger operators Hω = H0 + Vω + Ul + Ur defined on L 2(R × [ −L2 , L2 ] , dxdy) with periodic boundary conditions along y. Ul and Ur are two confining potentials for x ≤ −L2 and x ≥ L2 respectively and vanish for −L2 ≤ x ≤ L2 . We describe the spectrum in two energy intervals and we classify it according to the quantum mechanica...

Ray and wave dynamical properties of a spiral-shaped dielectric microcavity

We investigate ray dynamical properties and resonance patterns of a spiral-shaped dielectric microcavity in which quasiscarred resonances can be supported. The ray dynamical properties of this open system can be characterized by the steady probability distribution which contains informations of the dynamics and the openness of the chaotic microcavity. It is shown that the quasiscarring phenomen...