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A markov chain approach for static field analysis
Author(s) -
Fusco V. F.,
Linden P. A.
Publication year - 1988
Publication title -
microwave and optical technology letters
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.304
H-Index - 76
eISSN - 1098-2760
pISSN - 0895-2477
DOI - 10.1002/mop.4650010610
Subject(s) - markov chain , computer science , microstrip , electrical impedance , probabilistic logic , shielded cable , field (mathematics) , basis (linear algebra) , electronic engineering , mathematical optimization , algorithm , topology (electrical circuits) , mathematics , engineering , electrical engineering , telecommunications , geometry , artificial intelligence , pure mathematics , machine learning
The calculation of the static field that exists in many distributed electromagnetic systems is of prime importance since it allows preliminary design at microwave frequencies to be initiated. This article demonstrates how an absorbing Markow chain can be used to solve the Dirichlet problem, thereby yielding useful results such as field potentials, stored energy, and characteristic impedance. The theoretical basis for this method is developed, then applied to a shielded microstrip line in order to calculate line characteristic impedance. Some of the unique features of the absorbing Markov chain method will be discussed and its relationship to the probabilistic potential theory and finite‐difference techniques elaborated. The technique of absorbing Markov chains as discussed in this article represents a supplementary solution method to those currently in use and offers the possibility of detailed behavioral studies based on the movement of charged particles.