Roomy Scattering Matrix Synthesis

Abstract

The synthesis of a scattering matrix is a problem both of dynamical system theory and of operator theory. Properties relevant for synthesis are investigated based on dynamical principles as concatenation and Nerode equivalence. Then, use of operator theory in the sense of Helson and Lowdenslager is made to achieve complete decomposition of the scattering system into simple subsystems for a major class of scattering matrices, which are called 'roomy'. Hence, roomy scattering matrices prove to be completely decomposable non-normal contractive operators.

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Document Details

Document Type
Technical Report
Publication Date
Aug 06, 1971
Accession Number
AD0728001

Entities

People

  • Patrick M. Dewilde

Organizations

  • University of California, Berkeley

Tags

Communities of Interest

  • Air Platforms
  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Analytic Functions
  • Applied Mathematics
  • Banach Space
  • California
  • Cascade Structures
  • Classification
  • Computations
  • Equations
  • Functional Analysis
  • Harmonic Analysis
  • Hilbert Space
  • Integrals
  • Mathematics
  • New York
  • Security
  • Topology
  • Transmission Lines

Readers

  • Electromagnetic Wave Scattering and Antenna Radiation Engineering
  • Mathematical Modeling and Probability Theory.