AXIALLY DEPENDENT PERTURBATION ANALYSIS USING NONLINEAR PHASE PROGRESSION: MODIFICATIONS AND EXTENSIONS FOR GROSS PERTURBATIONS,
Abstract
The iterative perturbation analysis using nonlinear phase progression, previously developed for dealing with axially dependent perturbations on an otherwise axially uniform wave propagating structure, is here modified and extended. One modification of the basic technique readily permits some significant higher order effects of the perturbation to be determined directly from first order calculations. Further modifications drastically reduce the limitations on the size of the perturbation, permitting the corrections to the wave functions to be of even the same order of magnitude as the unperturbed waves. Since the method specifically seeks phase progression factors, it is particularly well suited to electromagnetic propagation problems, especially those which may involve effects strongly dependent upon the phase progression of the perturbed wave. The analysis for gross perturbations given here is therefore applied to situations involving gross dielectric inhomogeneities perturbing an otherwise uniform waveguide and to parasitic traveling wave antennas. The question of the application of the method to problems involving scatterers from conducting obstacles in waveguides is also discussed. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- May 01, 1966
- Accession Number
- AD0645064
Entities
People
- P. Diament
- S. L. Richter
- S. P. Schlesinger
Organizations
- Columbia University