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单词 paraxial
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Examples ofparaxial

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This nonlinear evolution has been studied by using theparaxialray approximation and the plasma wave intensity has been evaluated with and without coupling.
From theCambridge English Corpus
Solutions of the nonlinearparaxialequation due to laser plasma-interactions.
From theCambridge English Corpus
Using theparaxial-ray approximation, one can solve these coupled equations (7) and (8).
From theCambridge English Corpus
In geometrical optics aparaxialapproximation often signifies another simplification, which can be made when there is one preferred coordinate direction.
From theCambridge English Corpus
The propagation of the two beams is governed by two separate and differentparaxialwave equations.
From theCambridge English Corpus
An appropriate expression for the nonlinear dielectric constant has been used in the analysis of laser-beam propagation in theparaxialapproximation.
From theCambridge English Corpus
The laser field is treated in a standardparaxialapproximation in three dimensions.
From theCambridge English Corpus
In this case,paraxialapproximations are insufficient for the description of the wave beams propagation.
From theCambridge English Corpus
The solution of pump laser beam has been obtained within theparaxialray approximation.
From theCambridge English Corpus
We relax theparaxial-ray approximation, and retain the cross space-time derivatives of the laser amplitude, allowing for temporal self-distortion of the laser intensity profile.
From theCambridge English Corpus
A numerical study of the semiclassical limit of linear and nonlinearparaxialequation, in both focusing and defocusing cases is explored.
From theCambridge English Corpus
In fact, all branches of the complete multivalued solution will be found in this way, if x is small enough and theparaxialapproximation holds.
From theCambridge English Corpus
In this paper aparaxialtheory of interaction between two initially parallel electromagnetic beams in an ionic collision dominated plasma is presented.
From theCambridge English Corpus
Numerical comparisons of the oscillations are made between the solutions of linear and nonlinearparaxialequation due to laser plasma interactions.
From theCambridge English Corpus
The slowly varying amplitudes of these two circularly polarized electromagnetic beams satisfy separate and differentparaxialwave equations as given by (36) and (38).
From theCambridge English Corpus
Here an expression for the equation gover ning the beam width parameter s of the two laser beams in theparaxialapproximation has been derived.
From theCambridge English Corpus
Numerical comparisons of the oscillations are made between the solutions of the linear and nonlinearparaxialequation due to laser-plasma interactions.
From theCambridge English Corpus
They are formed by surface ectoderm and pharyngeal endoderm and are populated byparaxialmesoderm and cranial neural crest cells.
From theCambridge English Corpus

These examples are from corpora and from sources on the web. Any opinions in the examples do not represent the opinion of the Cambridge Dictionary editors or of Cambridge University Press or its licensors.

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更新时间:2024/12/28 2:28:45