Infinite electrical networks and transistor modeling
Abstract
The theory and applications of infinite electrical networks are investigated. Methods were devised for computing the currents and voltages in uniform and nonuniform, grounded and ungrounded semiinfinite electrical grids. These results were applied to the numerical simulation of bipolar transistors and to the computational techniques arising in geophysical exploration. A complete and rigorous theory for infinite lumped transmission lines was at last achieved by closing a longstanding lacuna, and this was extended to ladder networks whose parameters are operators on a Hilbert space. A parametric representation for a general class of linear timevarying systems was devised. A new matroid for a certain class of infinite graphs was discovered.
 Publication:

State Univ. of New York, Stony Brook Report
 Pub Date:
 September 1982
 Bibcode:
 1982suny.rept.....Z
 Keywords:

 Bipolar Transistors;
 Circuits;
 Electric Networks;
 Mathematical Models;
 Network Analysis;
 Hilbert Space;
 Partial Differential Equations;
 Transmission Lines;
 Electronics and Electrical Engineering