Wave propagation in a 2-D optical waveguide [4 citations — 1 self]
Abstract:
Abstract. In this work, we consider a wave propagation problem in a 2-D waveguide. The problem arises in the study of light in optical fibers. We construct a transform theory as a framework for studying this problem. An explicit representation for the solution to problems involving light sources is derived. We derive a decay rate for the non-guided part of the solution in the direction of the core. The approach is also amenable to computations, and we demonstrate this in numerical examples for the case of slab waveguides. Key words. Wave propagation, optical waveguides, Green's function.
Citations
| 39 | Optical Waveguide Theory – Snyder, John - 1983 |
| 28 | Theory of Dielectric Optical Waveguides – Marcuse - 1991 |
| 22 | Radiation and Scattering of Waves – Felsen, Marcuvitz - 1973 |
| 5 | Spectral analysis of the Pekeris operator in the theory of acoustic wave propagation in shallow water – Wilcox - 1975 |
| 3 | Scalar Wave Theory – DeSanto - 1992 |
| 3 | Radiation conditions and uniqueness theorems for open waveguides – Nosich, Shestopalov - 1989 |
| 3 | Transient electromagnetic wave propagation in a dielectric waveguide – Wilcox - 1974 |
| 2 | Theory of Ordinary Differential – Coddington, Levinson - 1984 |
| 2 | Scattering in a 2-D optical waveguide – Magnanini, Santosa - 2000 |
| 1 | Eigenfunction Expansions, Second ed., Oxford at the Clarendon – Titchmarsh - 1962 |
| 1 | A generalized mode matching method for the junction of open waveguides – Dhia, Tillequin - 1999 |

