翻訳と辞書
Words near each other
・ "O" Is for Outlaw
・ "O"-Jung.Ban.Hap.
・ "Ode-to-Napoleon" hexachord
・ "Oh Yeah!" Live
・ "Our Contemporary" regional art exhibition (Leningrad, 1975)
・ "P" Is for Peril
・ "Pimpernel" Smith
・ "Polish death camp" controversy
・ "Pro knigi" ("About books")
・ "Prosopa" Greek Television Awards
・ "Pussy Cats" Starring the Walkmen
・ "Q" Is for Quarry
・ "R" Is for Ricochet
・ "R" The King (2016 film)
・ "Rags" Ragland
・ ! (album)
・ ! (disambiguation)
・ !!
・ !!!
・ !!! (album)
・ !!Destroy-Oh-Boy!!
・ !Action Pact!
・ !Arriba! La Pachanga
・ !Hero
・ !Hero (album)
・ !Kung language
・ !Oka Tokat
・ !PAUS3
・ !T.O.O.H.!
・ !Women Art Revolution


Dictionary Lists
翻訳と辞書 辞書検索 [ 開発暫定版 ]
スポンサード リンク

Smirnov method of incomplete separation of variables : ウィキペディア英語版
Spacetime triangle diagram technique



In Physics and Mathematics, the Spacetime triangle diagram (STTD) technique,
also known as the Smirnov method of incomplete separation of variables, refers to the
direct space-time domain method for electromagnetic and scalar wave motion.
== Basic stages ==
# (Electromagnetics) The system of Maxwell's equations is reduced to a second-order PDE for the field components, or potentials, or their derivatives.
# The spatial variables are separated using convenient expansions into series and/or integral transforms—except one that remains bounded with the time variable, resulting in a PDE of hyperbolic type.
# The resulting hyperbolic PDE and the simultaneously transformed initial conditions compose a problem, which is solved using the (Riemann-Volterra integral formula ). This yields the generic solution expressed via a double integral over a triangle domain in the bounded-coordinate—time space. Then this domain is replaced by a more complicated but smaller one, in which the integrant is essentially nonzero, found using a strictly formalized procedure involving specific spacetime triangle diagrams (see, e.g., Refs.〔
A.B. Utkin,
''Localized Waves Emanated by Pulsed Sources: The Riemann-Volterra Approach''.
In: Hugo E. Hernández-Figueroa, Erasmo Recami, and Michel Zamboni-Rached (eds.)
(Non-diffracting Waves. )
Wiley-VCH: Berlin, ISBN 978-3-527-41195-5,
pp. 287-306 (2013)
〕〔
A.B. Utkin,
''Electromagnetic Waves Generated by Line Current Pulses''.
In: (Wave Propagation. )
Ed. Andrey Petrin, InTech: Vienna, ISBN 978-953-307-275-3, p. 483-508 (2011)
〕〔
A.B. Utkin,
(The Riemann-Volterra time-domain technique for waveguides: A case study for elliptic geometry. ) ''Wave Motion'' 49(2), 347-363 (2012), doi: 10.1016/j.wavemoti.2011.12.001
〕〔
V.V. Borisov, A.V. Manankova, A.B. Utkin,
(Spherical harmonic representation of the electromagnetic field produced by a moving pulse of current density ),
''Journal of Physics A: Mathematical and General'' 29(15), 4493-4514 (1996), doi: 10.1088/0305-4470/29/15/020
〕).
# In the majority of cases the obtained solutions, being multiplied by known functions of the previously separated variables, result in the expressions of a clear physical meaning (nonsteady-state modes). In many cases, however, more explicit solutions can be found summing up the expansions or doing the inverse integral transform.

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
ウィキペディアで「Spacetime triangle diagram technique」の詳細全文を読む



スポンサード リンク
翻訳と辞書 : 翻訳のためのインターネットリソース

Copyright(C) kotoba.ne.jp 1997-2016. All Rights Reserved.