paraxial

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paraxial

(pă-raks -ee-ăl) Lying close to the optical axis of a lens, mirror, or system of such elements.
Collins Dictionary of Astronomy © Market House Books Ltd, 2006

paraxial

[par′ak·sē·əl]
(science and technology)
Lying near the axis.
McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.
References in periodicals archive ?
However, PE has approximation error due to paraxial approximation and split error as a result of exponent operator split using SSFT, where approximation error is its inherent drawback.
Considering the paraxial approximation when in condition of possible perturbation, we have the following relationships of the perturbed element axis between input and output plane:
The Fresnel-Fraunhofer transform presents a restriction inherited from the paraxial approximation performed on the Fresnel-Kirchhoff integral, where the condition [z.sup.3] [??] 14[lambda] [[[([x.sub.0] - [x.sub.1]).sup.2] + [([y.sub.0] - [y.sub.1]).sup.2]].sup.2] must be must be fulfilled.
Using (10) in (3) and making Taylor expansion of dielectric function in the radial direction for arbitrary large nonlinearity under paraxial approximation can be written as
A solution may consist in using the plane wave spectrum of CGBs introduced in [17], or alternatively in performing an asymptotic evaluation of the radiation integrals with another approximation such as the paraxial approximation. Another extension would be to develop an asymptotic formulation for the reflexion/transmission of a CGB at a metallic or dielectric interface as it exists for fundamental Gaussian beams [3, 19].
Thus, within the paraxial approximation, the sign of the nonlinear part of the refractive index depends on the sign of the nanoparticle polarizability, that is, the values of the variables [[epsilon].sub.p] and [[epsilon].sub.l].
Moreover, we treat the elegant Laguerre-Gaussian beam beyond the paraxial approximation. Under the condition of the paraxial approximation, the elegant Laguerre-Gaussian beam is described by the solution of the paraxial wave equation.