On some solutions of the wave equation

L.J.F. Broer; J.B. Vroonhoven, van

doi:10.1016/0031-8914(71)90176-5

On some solutions of the wave equation

L.J.F. Broer, J.B. Vroonhoven, van

Applied Physics and Science Education

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

11 Citations (Scopus)

Abstract

Methods of solution for the wave equation in terms of series of integrals are simplified by means of an operator formalism. In this way the equivalence of series solutions given by Bremmer and Broer is easily proved. A new solution, valid for a large gradient of the refractive index, is given. The splitting of the solution in two partial waves travelling in opposite directions is discussed in connection with the expressions for energy density and intensity.

Original language	English
Pages (from-to)	441-454
Number of pages	14
Journal	Physica
Volume	52
Issue number	3
DOIs	https://doi.org/10.1016/0031-8914(71)90176-5
Publication status	Published - 1971

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title = "On some solutions of the wave equation",

abstract = "Methods of solution for the wave equation in terms of series of integrals are simplified by means of an operator formalism. In this way the equivalence of series solutions given by Bremmer and Broer is easily proved. A new solution, valid for a large gradient of the refractive index, is given. The splitting of the solution in two partial waves travelling in opposite directions is discussed in connection with the expressions for energy density and intensity.",

author = "L.J.F. Broer and {Vroonhoven, van}, J.B.",

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AU - Broer, L.J.F.

AU - Vroonhoven, van, J.B.

PY - 1971

Y1 - 1971

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AB - Methods of solution for the wave equation in terms of series of integrals are simplified by means of an operator formalism. In this way the equivalence of series solutions given by Bremmer and Broer is easily proved. A new solution, valid for a large gradient of the refractive index, is given. The splitting of the solution in two partial waves travelling in opposite directions is discussed in connection with the expressions for energy density and intensity.

U2 - 10.1016/0031-8914(71)90176-5

DO - 10.1016/0031-8914(71)90176-5

M3 - Article

SN - 0031-8914

VL - 52

SP - 441

EP - 454

JO - Physica

JF - Physica

IS - 3

ER -

On some solutions of the wave equation

Abstract

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