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A Scattering Matrix Method for Solving Waveguide Array Impedance Problems
Author(s) -
Dufort E. C.
Publication year - 1968
Publication title -
radio science
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.371
H-Index - 84
eISSN - 1944-799X
pISSN - 0048-6604
DOI - 10.1002/rds196835475
Subject(s) - optics , baffle , scattering , standing wave ratio , electrical impedance , waveguide , transmission line , physics , reflection coefficient , antenna array , transmission coefficient , mathematical analysis , mathematics , acoustics , transmission (telecommunications) , antenna (radio) , computer science , telecommunications , microstrip antenna , quantum mechanics , thermodynamics
A new method for solving rectangular waveguide array impedance problems is described in which the waveguide‐space junction is regarded as two junctions separated by a parallel plate region. The scattering matrices for each junction must first be determined by solving the scalar problems for the E and H modes. An equivalent circuit for the array consists of the interconnection of the ports of these two junctions using the parallel plate transmission line modes. The reflection coefficient for all scan angles can be found explicitly for arbitrary lengths of the plates. The method is particularly suitable for arrays where the parallel plate region is substantial in length, and where no other method of solution is available, but in any case valuable physical insight into the array impedance problem is gained by this formulation. Several types of arrays that can be analyzed using this method are described. An array of maximally spaced thin walled waveguides in a triangular lattice and with H plane baffles is analyzed numerically and shown to possess a fundamental surface wave effect mismatch. The same type of array with the elements more closely spaced is matched by a suitable choice of the baffle length to a VSWR of 1.58 or better within the scan range of 45° from broadside.