A Scaling Technique for the Design of Idealized Electromagnetic Lenses

Citation

Baum, Carl Edward (1969) A Scaling Technique for the Design of Idealized Electromagnetic Lenses. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/N9WZ-SP03. https://resolver.caltech.edu/CaltechTHESIS:01252016-081748086

Abstract

A technique is developed for the design of lenses for transitioning TEM waves between conical and/or cylindrical transmission lines, ideally with no reflection or distortion of the waves. These lenses utilize isotropic but inhomogeneous media and are based on a solution of Maxwell's equations instead of just geometrical optics. The technique employs the expression of the constitutive parameters, ɛ and μ, plus Maxwell's equations, in a general orthogonal curvilinear coordinate system in tensor form, giving what we term as formal quantities. Solving the problem for certain types of formal constitutive parameters, these are transformed to give ɛ and μ as functions of position. Several examples of such lenses are considered in detail.

Thesis Files