A Scaling Technique for the Design of Idealized Electromagnetic Lenses

Author: Baum, Carl Edward

Year: 1969

Degree: Dissertation (Ph.D.)

Advisor: Papas, Charles Herach

Committee Member: Unknown, Unknown

Option: Electrical Engineering

DOI: 10.7907/N9WZ-SP03

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.

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