AXIALLY DEPENDENT PERTURBATION ANALYSIS USING NONLINEAR PHASE PROGRESSION.
COLUMBIA UNIV NEW YORK DEPT OF ELECTRICAL ENGINEERING
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A perturbation technique is developed, valid for arbitrary transverse and axial dependence of a perturbation in an electro-magnetic propagation problem which is otherwise axially unyform. The method, an adaptation and extension of time dependent perturbation theory of quantum mechanics, uses a nonlinear phase progression term in the exponent of the axial dependence of the fields in order to accommodate and readily calculate, without secular terms, corrections to the progressive phase delay through the perturbation. Applicable to problems with hybrid modes, with arbitrary transverse inhomogeneities and anisotropies and with multiple scatterers of essentially arbitrary shape, the method does not depend upon quasistatic or quasi-optic assumptions and is useful for analyzing axially dependent perturbations which give rise to a phase shift, or to radiation, or to any other effect of interest which is strongly dependent upon the phase progression of the perturbed wave. The method is illustrated by a solution of a problem involving an inhomogeneously filled waveguide i.e., a phase shifter. Author
- Numerical Mathematics
- Quantum Theory and Relativity
- Radiofrequency Wave Propagation