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

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F10%3A10051805" target="_blank" >RIV/00216208:11320/10:10051805 - isvavai.cz</a>

Výsledek na webu

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DOI - Digital Object Identifier

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Jazyk výsledku

angličtina

Název v původním jazyce

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

Popis výsledku v původním jazyce

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 toboth 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.

Název v anglickém jazyce

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

Popis výsledku anglicky

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 toboth 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.

Druh

O - Ostatní výsledky

CEP obor

DC - Seismologie, vulkanologie a struktura Země

OECD FORD obor

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Projekt

<a href="/cs/project/GAP210%2F10%2F0736" target="_blank" >GAP210/10/0736: Nové trendy v paprskových metodách - část 4</a><br>

Návaznosti

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>Z - Vyzkumny zamer (s odkazem do CEZ)

Rok uplatnění

2010

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů