DESIGN OF TRANSMISSION LINES AND WAVEGUIDE STRUCTURES USING THE MAXIMUM PRINCIPLE
Abstract
A distributed parameter maximum principle provides the basis for design of optimal lossless impedance matching structures. Given an arbitrary (wide-band) source at z = -l and an arbitrary load at z = 0, the optimization procedure synthesizes a uniform cross section, dielectric loaded waveguide or transmission line of length l which maximizes the real power delivered to the load. This optimization is performed subject to constraints on the filler material: mu(z) = mu sub o and epsilon(z) is in (epsilon sub 1, epsilon sub 2,. ..epsilon sub n). The solution is easily implemented, as the filler consists of successive intervals of readily available dielectric materials. An iterative numerical procedure for solving the (split-boundary function) necessary conditions is given, and a number of typical solutions for transmission line and waveguide couplers are presented. In the examples studied, the performance obtained using only epsilon sub MIN and epsilon sub MAX was within 0.2 percent of that obtained using a continuum of dielectric constants (epsilon sub MIN, epsilon sub MAX).
Document Details
- Document Type
- Technical Report
- Publication Date
- Jun 05, 1968
- Accession Number
- AD0675145
Entities
People
- Jerry Burchfiel
Organizations
- Massachusetts Institute of Technology