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A simple way of solving transient thin‐wire problems
Author(s) -
Marin Lennart,
Liu Tom K.
Publication year - 1976
Publication title -
radio science
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.371
H-Index - 84
eISSN - 1944-799X
pISSN - 0048-6604
DOI - 10.1029/rs011i002p00149
Subject(s) - transient (computer programming) , representation (politics) , simple (philosophy) , current (fluid) , asymptotic expansion , transient response , mathematical analysis , calculator , series (stratigraphy) , mathematics , antenna (radio) , desk , physics , computer science , telecommunications , electrical engineering , engineering , paleontology , philosophy , epistemology , politics , biology , political science , law , thermodynamics , operating system
A simple way of calculating the transient response of a thin wire is presented. The method is based on (i) the asymptotic antenna theory for thin wires and (ii) an expansion of the induced current in terms of the so‐called natural modes. An explicit series representation of the transient induced current in terms of the resonances of the wire is obtained and this representation is used to numerically evaluate the wire current using a desk calculator. A comparison is made between the results obtained using the asymptotic theory presented here and those obtained from a numerical solution of a space‐time integral equation. Good agreement between the results is found except for early times. The method points to a fast way of estimating the transient induced currents on more complicated structures such as a wire model of an aircraft.