Transmission-line matrix method: Difference between revisions

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{{short description|Method of computing electromagnetic fields}}
The '''transmission-line matrix (TLM) method''' is a space and time discretising method for computation of [[electromagnetic fields]]. It is based on the [[analogy]] between the electromagnetic field and a mesh of [[transmission line]]s. The TLM method allows the computation of complex three-dimensional electromagnetic structures and has proven to be one of the most powerful time-___domain methods along with the finite difference time ___domain ([[FDTD]]) method. The TLM was first explored by [[Raymond Beurle]] while working at [[English Electric Valve Company]] in [[Chelmsford]]. After he had been appointed professor of [[electrical engineering]] at the [[University of Nottingham]] in 1963 he jointly authored an article, "Numerical solution of 2-dimensional scattering problems using a transmission-line matrix", with [[Peter B. Johns]] in 1971.<ref name="de Cogan TLM">{{cite book |last1=de Cogan |first1=Donard |title=Transmission Line Matrix (TLM) Techniques for Diffusion Applications |date=12 December 2018 |publisher=Routledge |isbn=978-1-351-40712-0 |url=https://books.google.com/books?id=1lEPEAAAQBAJ |language=en}}</ref>
 
The '''transmission-line matrix''' ('''TLM''') '''method''' is a space and time discretising method for computation of [[electromagnetic fields]]. It is based on the [[analogy]] between the electromagnetic field and a mesh of [[transmission line]]s. The TLM method allows the computation of complex three-dimensional electromagnetic structures and has proven to be one of the most powerful [[Time ___domain|time-___domain]] methods along with the [[finite difference time ___domain]] ([[FDTD]]) method. The TLM was first explored by British electrical engineer [[Raymond Beurle]] while working at [[English Electric Valve Company]] in [[Chelmsford]]. After he had been appointed professor of [[electrical engineering]] at the [[University of Nottingham]] in 1963 he jointly authored an article, "Numerical solution of 2-dimensional scattering problems using a transmission-line matrix", with [[Peter B. Johns]] in 1971.<ref name="de Cogan TLM">{{cite book |last1=de Cogan |first1=Donard |title=Transmission Line Matrix (TLM) Techniques for Diffusion Applications |date=12 December 2018 |publisher=Routledge |isbn=978-1-351-40712-0 |url=https://books.google.com/books?id=1lEPEAAAQBAJ |language=en}}</ref>
 
== Basic principle ==