https://doi.org/10.1140/epjb/e2003-00354-5
PT-invariant Helmholtz optics and its applications to slab waveguides
1
Department of Physics, Arak University, Arak, Iran
2
Faculty of Electrical Engineering, Tabriz University, Tabriz 51664, Iran
3
OIC Design lab., Faculty of Electrical Engineering, Tabriz
University, Tabriz, Iran
Corresponding author: a rostami@tabrizu.ac.ir
Received:
11
January
2003
Revised:
6
October
2003
Published online:
23
December
2003
In optical Integrated circuits (OIC) and optical device design (passive and active), the index of refraction profile is a coordinate dependent parameter. Specifically in slab waveguides which is a basic element in optical engineering, the guided modes and its behavior with respect to waveguide parameters can be extracted from the exact solution of the Helmholtz equation. In the general case, the numerical approach is applied for determination of the electric and magnetic fields. In this paper a suitable algorithm, using the PT-symmetric quantum mechanical approach has been given for light transmission through one-dimensional inhomogeneous media (PT-symmetric index of refraction).
PACS: 03.65.-w – Quantum mechanics / 03.50.De – Classical electromagnetism, Maxwell equations / 42.82.Et – Waveguides, couplers, and arrays
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2003
