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

The result's identifiers

  • Result code in 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>

  • Result on the web

  • DOI - Digital Object Identifier

Alternative languages

  • Result language

    angličtina

  • Original language name

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

  • Original language 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 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.

  • Czech name

  • Czech description

Classification

  • Type

    O - Miscellaneous

  • CEP classification

    DC - Seismology, volcanology and Earth structure

  • OECD FORD branch

Result continuities

  • Project

    <a href="/en/project/GAP210%2F10%2F0736" target="_blank" >GAP210/10/0736: New trends in ray methods - part 4</a><br>

  • Continuities

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

Others

  • Publication year

    2010

  • Confidentiality

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