About: Perturbation expansions of complex-valued travel time along real-valued reference rays

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rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
Description	The eikonal equation in an attenuating medium has the form of a complex-valued Hamilton-Jacobi equation and must be solved in terms of the complex-valued travel time (complex-valued action function). The solution of the complex-valued Hamilton- Jacobi equation for complex-valued travel time by Hamilton's equations of rays would require complex-valued rays (complex-valued geodesics). Since the material properties are known in real space only, we cannot calculate complex-valued rays. A very suitable approximate method for calculating the complex-valued travel time right in real space is represented by the perturbation from the reference travel time calculated along real- valued reference rays to the complex-valued travel time defined by the complex-valued Hamilton-Jacobi equation. In: Seismic Waves in Complex 3-D Structures, Report 20, pp. 193-205, Dep. Geophys., Charles Univ., Prague, 2010. The eikonal equation in an attenuating medium has the form of a complex-valued Hamilton-Jacobi equation and must be solved in terms of the complex-valued travel time (complex-valued action function). The solution of the complex-valued Hamilton- Jacobi equation for complex-valued travel time by Hamilton's equations of rays would require complex-valued rays (complex-valued geodesics). Since the material properties are known in real space only, we cannot calculate complex-valued rays. A very suitable approximate method for calculating the complex-valued travel time right in real space is represented by the perturbation from the reference travel time calculated along real- valued reference rays to the complex-valued travel time defined by the complex-valued Hamilton-Jacobi equation. In: Seismic Waves in Complex 3-D Structures, Report 20, pp. 193-205, Dep. Geophys., Charles Univ., Prague, 2010. (en)
Title	Perturbation expansions of complex-valued travel time along real-valued reference rays Perturbation expansions of complex-valued travel time along real-valued reference rays (en)
skos:prefLabel	Perturbation expansions of complex-valued travel time along real-valued reference rays Perturbation expansions of complex-valued travel time along real-valued reference rays (en)
skos:notation	RIV/00216208:11320/10:10051829!RIV11-GA0-11320___
http://linked.open...avai/riv/aktivita	P Z
http://linked.open...avai/riv/aktivity	P(GAP210/10/0736), Z(MSM0021620860)
http://linked.open...vai/riv/dodaniDat	2011
http://linked.open...aciTvurceVysledku	Klimeš, Luděk
http://linked.open.../riv/druhVysledku	O - Ostatní výsledky nezařaditelné do žádného z výše uvedených druhů výsledku
http://linked.open...iv/duvernostUdaju	S - Úplné a pravdivé údaje nepodléhající ochraně podle zvláštních právních předpisů
http://linked.open...titaPredkladatele	Univerzita Karlova v Praze / Matematicko-fyzikální fakulta
http://linked.open...dnocenehoVysledku	278619
http://linked.open...ai/riv/idVysledku	RIV/00216208:11320/10:10051829
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	rays; reference; real-valued; along; time; travel; complex-valued; expansions; Perturbation (en)
http://linked.open.../riv/klicoveSlovo	Perturbation reference along expansions complex-valued time travel rays real-valued
http://linked.open...ontrolniKodProRIV	[DFB6ED197658]
http://linked.open...in/vavai/riv/obor	DC
http://linked.open...ichTvurcuVysledku	1 (xsd:int)
http://linked.open...cetTvurcuVysledku	2 (xsd:int)
http://linked.open...vavai/riv/projekt	New trends in ray methods - part 4
http://linked.open...UplatneniVysledku	2010
http://linked.open...iv/tvurceVysledku	Klimeš, Luděk Klimeš, M.
http://linked.open...n/vavai/riv/zamer	Fyzikální studium objektů a procesů ve sluneční soustavě a v astrofyzikálních systémech
http://localhost/t...ganizacniJednotka	11320

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