A simple derivation and an example of Hamiltonian ray propagation

Jonathan Molcho; Dan Censor

doi:10.1119/1.14621

A simple derivation and an example of Hamiltonian ray propagation

Jonathan Molcho, Dan Censor

Department of Electrical & Computer Engineering

Research output: Contribution to journal › Article › peer-review

15 Scopus citations

Abstract

The well-known Hamiltonian ray tracing equations are derived in a simple way, using elementary differential operations instead of the calculus of variations approach. A simple example, suitable for classroom demonstration, is given to highlight the use of ray tracing for space and time varying media.

Original language	English
Pages (from-to)	351-353
Number of pages	3
Journal	American Journal of Physics
Volume	54
Issue number	4
DOIs	https://doi.org/10.1119/1.14621
State	Published - 1 Jan 1986

Keywords

FERMAT PRINCIPLE
GEOMETRICAL OPTICS
HAMILTONIANS
WAVE EQUATIONS
WAVE PROPAGATION

ASJC Scopus subject areas

General Physics and Astronomy

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10.1119/1.14621

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title = "A simple derivation and an example of Hamiltonian ray propagation",

abstract = "The well-known Hamiltonian ray tracing equations are derived in a simple way, using elementary differential operations instead of the calculus of variations approach. A simple example, suitable for classroom demonstration, is given to highlight the use of ray tracing for space and time varying media.",

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author = "Jonathan Molcho and Dan Censor",

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AB - The well-known Hamiltonian ray tracing equations are derived in a simple way, using elementary differential operations instead of the calculus of variations approach. A simple example, suitable for classroom demonstration, is given to highlight the use of ray tracing for space and time varying media.

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KW - GEOMETRICAL OPTICS

KW - HAMILTONIANS

KW - WAVE EQUATIONS

KW - WAVE PROPAGATION

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JF - American Journal of Physics

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A simple derivation and an example of Hamiltonian ray propagation

Abstract

Keywords

ASJC Scopus subject areas

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