Title :
Mathematical analysis of conductive and superconductive transmission lines
Author :
Bonnet-BenDhia, Anne-Sophie ; Ramdani, Karim
Author_Institution :
Lab. de Simulation et de Modelisation des Phenomenes de Propagation, CNRS, Palaiseau, France
Abstract :
We present a theoretical study of guided modes in the most commonly used transmission line: the microstrip line. It consists of a thin conductive strip placed on a dielectric substrate, which is located on a perfectly conductive ground plane. Two cases are considered: the case of a perfectly conductive strip; and the case of a superconductive one. In the model used, the dissipative losses are neglected. However, since one is looking for modes which are confined near the strip, the metallic cavity surrounding the line is not taken into account. Consequently, in both cases, the study of guided modes amounts to the spectral analysis of a family of non-compact self-adjoint operators, which is realized thanks to the min-max principle
Keywords :
integral equations; mathematical operators; microstrip lines; minimax techniques; modal analysis; spectral analysis; superconducting transmission lines; waveguide theory; conductive transmission lines; dielectric substrate; guided modes; integral equation; mathematical analysis; microstrip line; min-max principle; noncompact self-adjoint operators; perfectly conductive ground plane; perfectly conductive strip; spectral analysis; superconductive transmission lines; Dielectric substrates; Mathematical analysis; Microstrip; Permeability; Sociotechnical systems; Spectral analysis; Strips; Superconducting transmission lines; Superconductivity; Transmission line theory;
Conference_Titel :
Mathematical Methods in Electromagnetic Theory, 1998. MMET 98. 1998 International Conference on
Conference_Location :
Kharkov
Print_ISBN :
0-7803-4360-3
DOI :
10.1109/MMET.1998.709892
