Title :
Inclusion sets for the input and characteristic impedance of lossy microwave lines
Author :
Muller, Andrei A. ; Dascalu, Dan
Author_Institution :
Romanian Nat. Inst. for R&D in Microtechnologies (IMT), Bucharest, Romania
Abstract :
The paper exploits the geometrical properties of the Möbius transformations in an novel manner. Standard geometrical shapes as circles and spirals are directly related to the characteristic and input impedances of lossy transmission lines. Unexploited properties of inversive geometry applied to the lossy transmission lines make room for new boundaries for the impedances. Elements of visual complex analysis can be used in order to obtain margins for the real and imaginary parts of the input and characteristic impedances.
Keywords :
geometry; transmission lines; Mobius transformations; characteristic impedance; geometrical properties; imaginary parts; inclusion sets; lossy microwave lines; lossy transmission lines; visual complex analysis; Equations; Geometry; Impedance; Power transmission lines; Propagation losses; Spirals; Visualization; Möbius transformations; lossy transmission lines;
Conference_Titel :
Microwave Workshop Series on Millimeter Wave Integration Technologies (IMWS), 2011 IEEE MTT-S International
Conference_Location :
Sitges
Print_ISBN :
978-1-61284-963-8
DOI :
10.1109/IMWS3.2011.6061854
