Title :
Conformal mapping analyses of microstrips with circular and elliptical cross-sections
Author :
Martens, M.A. ; Brown, R.W. ; Haacke, E.M.
Author_Institution :
Dept. of Phys., Case Western Reserve Univ., Cleveland, OH, USA
fDate :
9/1/1992 12:00:00 AM
Abstract :
A conformal transformation is derived in terms of a Schwarz-Christoffel transformation involving elliptic integrals of the first and third kind. This mapping function is used to give exact solutions for TEM excitations of microstrips and coupled microstrips with circular and elliptical cross-sections. Using these maps, the uniformity of the TEM mode magnetic field inside an elliptical slotted tube transmission line is investigated
Keywords :
strip lines; transforms; waveguide theory; Schwarz-Christoffel transformation; TEM excitations; TEM mode magnetic field; circular cross-sections; conformal mapping analysis; conformal transformation; coupled microstrips; elliptic integrals; elliptical cross-sections; elliptical slotted tube transmission line; mapping function; Capacitance; Conformal mapping; Dielectric measurements; Fabrication; Impedance; Metallization; Microstrip resonators; Microwave theory and techniques; Q measurement; Strips;
Journal_Title :
Microwave Theory and Techniques, IEEE Transactions on