Showing papers on "Coupled mode theory published in 1979"
TL;DR: In this article, a general formulation of the plane-wave propagation in an arbitrarily birefringent layered medium is presented, and the concepts of dynamical matrix and propagation matrix are introduced.
Abstract: The propagation of electromagnetic radiation in birefringent layered media is considered. A general formulation of the plane-wave propagation in an arbitrarily birefringent layered medium is presented. The concepts of dynamical matrix and propagation matrix are introduced. A 4 × 4 transfer matrix method is used to relate the field amplitudes in different layers. Our general theory is then applied to the special case of periodic birefringent layered media, especially the Solc birefringent layered media [ I.
Solc
, Cesk. Casopis Fẏs.3, 366 ( 1953);Cesk. Casopis Fẏs.10, 16 ( 1960)]. The unit cell translation operator is derived. The band structures as well as the Bloch waves are obtained by diagonalizing the translation operator. Coupled mode theory is extended to the case of birefringent periodic perturbation to explain the exchange Bragg scattering. A general mode dispersion relation for guided waves is also obtained in terms of the transfer matrix elements.
577 citations
TL;DR: In this paper, the amplitudes of the normal modes were evaluated using a Green's-function approach and the results were compared to a previous treatment by Yariv, and the generated fields were also calculated by solving the polarization driven wave equation subject to the usual electromagnetic boundary conditions at all of the pertinent interfaces.
Abstract: Normal mode and total field analysis techniques for calculating the fields generated by a polarization source are discussed. The amplitudes of the normal modes are evaluated using a Green’s-function approach and the results are compared to a previous treatment by Yariv. The generated fields are also calculated by solving the polarization driven wave equation subject to the usual electromagnetic boundary conditions at all of the pertinent interfaces. It is shown that these two approaches yield equivalent results for a simple case, and their relative merits for solving problems in different regions of a waveguide are discussed.
38 citations
TL;DR: In this paper, the Rayleigh wave interaction in an elastically isotropic half space having a free surface with weak sinusoidal corrugations in one direction is investigated for the case of propagation normal to the length of the corrugation.
Abstract: The Rayleigh wave interaction in an elastically isotropic half space having a free surface with weak sinusoidal corrugations in one direction is investigated for the case of propagation normal to the length of the corrugations. Simple and asymptotically exact analytical expressions are deduced with the help of a singular perturbation procedure for the characteristics of the wave interaction. The theory is applied to obtain the characteristics of the selective reflection of a Rayleigh wave incident on a moderately long periodic array of shallow grooves etched on the free surface. The results obtained from the present asymptotic theory are compared with those previously deduced from an empirical equivalent network approach and a phenomenological coupled mode theory.
21 citations
26 Jul 1979
TL;DR: In this paper, a theoretical investigation of the mathematical formalism of coupled mode theory as applied to underwater sound propagation in a range dependent, ocean environment is carried out, where the authors focus on both types of range variation and examine coupled modes theory and its various approximations with respect to the range variability of the ocean bottom.
Abstract: : The work presented in this dissertation is a theoretical investigation of the mathematical formalism of coupled mode theory as applied to underwater sound propagation in a range dependent, ocean environment. The range dependence of an acoustic medium may be characterized by two types, range variability of the geoacoustic parameters such as sound speed and range variability of the boundary conditions. This dissertation focuses on both types of range variation and examines coupled mode theory and its various approximations with respect to the range variability of the ocean bottom. There are two approximations that arise in applications of coupled mode theory. The adiabatic approximation, which becomes valid in the limit of slight range variability of the medium, involves the neglect of the mode-mode energy coupling process. Another approximation which is inherent in the theory involves a boundary condition approximation which must be made in applications involving range variable boundaries. The adiabatic approximation is examined with respect to its validity as a function of sediment type and bottom range variability (bottom slope and radial sound speed gradient). The raypath properties of the adiabatic approximation are also examinded with respect to the multipath conversion process caused by a sloping bottom and are shown to agree with a ray theory view of the process.
10 citations
TL;DR: In this article, the authors considered the transmission of light through a stack of alternating birefringent plates and employed Coupled mode theory, Jones calculus and a recently developed coherent matrix method to calculate the transmission spectrum of a Solc filter.
8 citations