Energy, momentum and propagation of non-paraxial high-order Gaussian beams in the presence of an aperture

Stilgoe, Alexander B., Nieminen, Timo A. and Rubinsztein-Dunlop, Halina (2015) Energy, momentum and propagation of non-paraxial high-order Gaussian beams in the presence of an aperture. Journal of Optics (United Kingdom), 17 12: 125601.1-125601.12. doi:10.1088/2040-8978/17/12/125601

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Author Stilgoe, Alexander B.
Nieminen, Timo A.
Rubinsztein-Dunlop, Halina
Title Energy, momentum and propagation of non-paraxial high-order Gaussian beams in the presence of an aperture
Journal name Journal of Optics (United Kingdom)   Check publisher's open access policy
ISSN 2040-8986
2040-8978
Publication date 2015-10-08
Sub-type Article (original research)
DOI 10.1088/2040-8978/17/12/125601
Open Access Status Other
Volume 17
Issue 12
Start page 125601.1
End page 125601.12
Total pages 12
Place of publication Bristol, United Kingdom
Publisher Institute of Physics Publishing
Language eng
Abstract Non-paraxial theories of wave propagation are essential to model the interaction of highly focused light with matter. Here we investigate the energy, momentum and propagation of the Laguerre–, Hermite– and Ince–Gaussian solutions (LG, HG, and IG) of the paraxial wave equation in an apertured non-paraxial regime. We investigate the far-field relationships between the LG, HG, and IG solutions and the vector spherical wave function (VSWF) solutions of the vector Helmholtz wave equation. We investigate the convergence of the VSWF and the various Gaussian solutions in the presence of an aperture. Finally, we investigate the differences in linear and angular momentum evaluated in the paraxial and non-paraxial regimes. The non-paraxial model we develop can be applied to calculations of the focusing of high-order Gaussian modes in high-resolution microscopes. We find that the addition of an aperture in high numerical aperture optical systems does not greatly affect far-field properties except when the beam is significantly clipped by an aperture. Diffraction from apertures causes large distortions in the near-field and will influence light–matter interactions. The method is not limited to a particular solution of the paraxial wave equation. Our model is constructed in a formalism that is commonly used in scattering calculations. It is thus applicable to optical trapping and other optical investigations of matter.
Keyword Helmholtz wave equation
Ince gauss
Optical tweezers
Paraxial wave equation
Wavfunctions
Q-Index Code C1
Q-Index Status Provisional Code
Institutional Status UQ

Document type: Journal Article
Sub-type: Article (original research)
Collections: School of Mathematics and Physics
Official 2016 Collection
 
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