APPLICATION OF CHEBYSHEV POLYNOMIALS IN THE CALCULATION OF STEP TRANSITIONS.

Abstract

A method of calculating step transitions in transmission lines through the use of Chebyshev polynomials of the first kind is proposed. The advantage of step transitions calculated by this method consists in a greater gain and a greater smoothness of the transitions, at given transi tion length and overlap coefficient, than with step transitions known as ''binomial transi tions.'' The proposed calculation method ignores local waves at the junctions between the steps and does not take into account repeated reflec tions. Only the theory of the method is dis cussed in the article; it is illustrated by a series of graphs and some numerical examples. Brief information and Chebyshev polynomials of the first kind is also given. (Author)

Document Details

Document Type
Technical Report
Publication Date
Aug 09, 1963
Accession Number
AD0416123

Entities

Organizations

  • Library of Congress

Tags

DTIC Thesaurus Topics

  • Binomials
  • Chebyshev Polynomials
  • Polynomials
  • Transitions
  • Transmission Lines

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Microwave Engineering.
  • Snow Cover Descriptors for Reptiles and Their Illustrations.