Top‐Hat Beam Technique: Improvements and application to bubble measurements

Corbin, Frédéric; Gréhan, Gérard; Gouesbet, G.

doi:10.1002/ppsc.19910080140

Cited by 16 publications

(10 citation statements)

References 15 publications

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“…Although this approximation is known since de 90’s, it is noteworthy and remarkable that so few laser beams have ever been described with it [28–30]. It can be shown that good results are also achieved if we replace the x -polarized zero-order Bessel beam by a circularly polarized ( xy plane) with the same parameters.…”

Section: Numerical Results For the Bsc’s Of An Ordinary Bessel Beammentioning

confidence: 99%

Integral localized approximation description of ordinary Bessel beams and application to optical trapping forces

Ambrosio

Hernández-Figueroa

2011

Biomed. Opt. Express

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Ordinary Bessel beams are described in terms of the generalized Lorenz-Mie theory (GLMT) by adopting, for what is to our knowledge the first time in the literature, the integral localized approximation for computing their beam shape coefficients (BSCs) in the expansion of the electromagnetic fields. Numerical results reveal that the beam shape coefficients calculated in this way can adequately describe a zero-order Bessel beam with insignificant difference when compared to other relative time-consuming methods involving numerical integration over the spherical coordinates of the GLMT coordinate system, or quadratures. We show that this fast and efficient new numerical description of zero-order Bessel beams can be used with advantage, for example, in the analysis of optical forces in optical trapping systems for arbitrary optical regimes.

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Section: Numerical Results For the Bsc’s Of An Ordinary Bessel Beammentioning

confidence: 99%

Integral localized approximation description of ordinary Bessel beams and application to optical trapping forces

Ambrosio

Hernández-Figueroa

2011

Biomed. Opt. Express

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“…There is an interesting type of beam, namely, the tophat beam, which has been used for optical sizing, e.g., [141] and references therein. When one uses the localized model for a top-hat beam, the fields derived from the localized beam-shape coefficients are not exactly those of the original top-hat beam [98].…”

Section: G Improved Localized Approximationsmentioning

confidence: 99%

List of problems for future research in generalized Lorenz–Mie theories and related topics, review and prospectus [Invited]

Gouesbet

Lock

2013

Appl. Opt.

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The expression "generalized Lorenz-Mie theories" generically denotes a class of light-scattering theories describing the interaction between an illuminating electromagnetic arbitrary-shaped beam and a particle possessing a high degree of symmetry. This allows one to use the method of separation of variables in which the illuminating beam is expressed as an expansion over a set of basis functions. Such theories have been derived and applied over the past 35 years. Although, as a whole, these theories are now well developed, there remains a list of problems to be solved, some of which are described in this paper.

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“…(v) Localized approximations have been successfully used for Gaussian beams [10,11], laser sheets [20], top-hat beams [8,21], doughnut beams [13], and Bessel beams [22][23][24]. Although the second modified localized approximation is expected to be valid for a large class of beams, it may however work poorly for some exotic beams.…”

Section: Remarksmentioning

confidence: 99%

Second modified localized approximation for use in generalized Lorenz–Mie theory and other theories revisited

Gouesbet¹

2013

J. Opt. Soc. Am. A

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Arbitrary electromagnetic shaped beams may be described by using expansions over a set of basis functions, with expansion coefficients containing subcoefficients named "beam shape coefficients" (BSCs). When BSCs cannot be obtained in closed form, and/or when the beam description does not exactly satisfy Maxwell's equations, the most efficient method to evaluate the BSCs is to rely on localized approximations. One of them, named the second modified localized approximation, has been presented in a way that may be found ambiguous in some cases. The aim of the present paper is to remove any ambiguity on the use of the second modified localized approximation.

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Top‐Hat Beam Technique: Improvements and application to bubble measurements

Cited by 16 publications

References 15 publications

Integral localized approximation description of ordinary Bessel beams and application to optical trapping forces

Integral localized approximation description of ordinary Bessel beams and application to optical trapping forces

List of problems for future research in generalized Lorenz–Mie theories and related topics, review and prospectus [Invited]

Second modified localized approximation for use in generalized Lorenz–Mie theory and other theories revisited

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