About: Transformation of paraxial matrices at a general interface between two general media

Facets (new session)
Description
Metadata
Settings
- owl:sameAs
- Inference Rule:

About: Transformation of paraxial matrices at a general interface between two general media Goto Sponge NotDistinct Permalink

An Entity of Type : http://linked.opendata.cz/ontology/domain/vavai/Vysledek, within Data Space : linked.opendata.cz associated with source document(s)

Attributes	Values
rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
Description	Paraxial matrices are the derivatives of the phase-space coordinates of rays with respect to the initial conditions for Hamilton's equations of rays. In smooth media, the paraxial matrices satisfy the Hamiltonian equations of geodesic deviation, also called the paraxial ray tracing equations or the dynamic ray tracing equations. We derive the explicit equations for transforming these paraxial matrices at a general smooth interface between two general media. The transformation equations are applicable to both real-valued and complex-valued paraxial matrices. The equations are expressed in terms of a general Hamiltonian function and are applicable to the transformation of paraxial matrices in both isotropic and anisotropic media. The interface is specified by an implicit equation. No local coordinates are needed for the transformation. In: Seismic Waves in Complex 3-D Structures, Report 20, pp. 115-126, Dep. Geophys., Charles Univ., Prague, 2010. Paraxial matrices are the derivatives of the phase-space coordinates of rays with respect to the initial conditions for Hamilton's equations of rays. In smooth media, the paraxial matrices satisfy the Hamiltonian equations of geodesic deviation, also called the paraxial ray tracing equations or the dynamic ray tracing equations. We derive the explicit equations for transforming these paraxial matrices at a general smooth interface between two general media. The transformation equations are applicable to both real-valued and complex-valued paraxial matrices. The equations are expressed in terms of a general Hamiltonian function and are applicable to the transformation of paraxial matrices in both isotropic and anisotropic media. The interface is specified by an implicit equation. No local coordinates are needed for the transformation. In: Seismic Waves in Complex 3-D Structures, Report 20, pp. 115-126, Dep. Geophys., Charles Univ., Prague, 2010. (en)
Title	Transformation of paraxial matrices at a general interface between two general media Transformation of paraxial matrices at a general interface between two general media (en)
skos:prefLabel	Transformation of paraxial matrices at a general interface between two general media Transformation of paraxial matrices at a general interface between two general media (en)
skos:notation	RIV/00216208:11320/10:10051805!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	293309
http://linked.open...ai/riv/idVysledku	RIV/00216208:11320/10:10051805
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	media; general; two; between; interface; general; matrices; paraxial; Transformation (en)
http://linked.open.../riv/klicoveSlovo	paraxial general media two between matrices Transformation interface
http://linked.open...ontrolniKodProRIV	[63E75074F495]
http://linked.open...in/vavai/riv/obor	DC
http://linked.open...ichTvurcuVysledku	1 (xsd:int)
http://linked.open...cetTvurcuVysledku	1 (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
http://linked.open...n/vavai/riv/zamer	Fyzikální studium objektů a procesů ve sluneční soustavě a v astrofyzikálních systémech
http://localhost/t...ganizacniJednotka	11320

Faceted Search & Find service v1.16.118 as of Jun 21 2024

Alternative Linked Data Documents: ODE Content Formats:

RDF

ODATA

Microdata

About

OpenLink Virtuoso version 07.20.3240 as of Jun 21 2024, on Linux (x86_64-pc-linux-gnu), Single-Server Edition (126 GB total memory, 58 GB memory in use)
Data on this page belongs to its respective rights holders.
Virtuoso Faceted Browser Copyright © 2009-2024 OpenLink Software