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Improved Gaussian beam-scattering algorithm [PDF]
The localized model of the beam-shape coefficients for Gaussian beam-scattering theory by a spherical particle provides a great simplification in the numerical implementation of the theory.
James Lock
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Gaussian beams and their generalizations
Physical Review A, 1985Boundary-value problems for the reduced wave equation that give rise to Gaussian and generalized Gaussian beams in paraxial regions are studied via complex ray geometrical optics. Expressions for the field valid both within and outside the paraxial region are obtained, and the results are compared with those given by paraxial wave optics and evanescent-
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Applied Optics, 1990
When the waist size of a Gaussian beam becomes of the order of the wavelength of light, the beam does not satisfy the paraxial condition in which it is derived. In this paper, we define the lower bound to the waist size by showing that a Gaussian beam whose waist size is larger than this bound safely satisfies the paraxial condition.
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When the waist size of a Gaussian beam becomes of the order of the wavelength of light, the beam does not satisfy the paraxial condition in which it is derived. In this paper, we define the lower bound to the waist size by showing that a Gaussian beam whose waist size is larger than this bound safely satisfies the paraxial condition.
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A further comparative study of flattened Gaussian beams and super-Gaussian beams
Journal of Modern Optics, 2001Abstract A further comparison between flattened Gaussian beams (FGBs) and super-Gaussian beams (SGBs) is performed. It is shown that the two FGB and SGB having the same beam propagation factor (M2−factor) but different waist widths demonstrate a similar irradiance profile at the position of the equal generalized Fresnel number, while they propagate ...
Baida Lü, Shirong Luo, Xiaoling Ji
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Symmetric Pearcey Gaussian beams
Optics Letters, 2021In this Letter, a new, to the best of our knowledge, type of autofocusing and symmetric beam arisen from two quartic spectral phases is introduced in theory and experiment. The symmetric Pearcey Gaussian beam (SPGB), formed with a Gaussian term and two multiplying Pearcey integrals, processes a focusing intensity approximately 1.32 times stronger than ...
You Wu +13 more
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Beam propagation factor of decentred Gaussian and cosine-Gaussian beams
Journal of Modern Optics, 2000Abstract On the basis of the second moment method, the beam propagation factor (M 2−factor) of decentred Gaussian beam has been derived, and analysed physically. Then, the result is extended to novel sinusoidal-Gaussian beams, one type of which is the cosine—Gaussian beam, which can be regarded as a superposition of two decentred Gaussian beams.
Baida Lü, Hong Ma
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Transformation of Hermite-Gaussian beams into complex Hermite-Gaussian and Laguerre-Gaussian beams
SPIE Proceedings, 1999Hermite-Gaussian, Laguerre-Gaussian and complex Hermite- Gaussian modes are solutions of the paraxial wave equation. Using an astigmatic optical system each type of beams can be transformed into the others. This allows a generation of complex Hermite-Gaussian modes with twist whose propagation behavior is investigated in detail.
Holger Laabs +4 more
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Diffraction and focusing of Gaussian beams
Applied Optics, 1985Methods for the measurement of the waist size and position for Gaussian beams are summarized. An alternative method is given which would apply to pulsed systems. The general theory of diffraction of Gaussian beams is developed which provides a new method for the location of the beam waist.
R M, Herman, J, Pardo, T A, Wiggins
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Decentered Gaussian beams and production of novel sinusoidal Gaussian beams
SPIE Proceedings, 1999The beam propagation factor(M2-factor) of the one-dimensional(1D) decentered Gaussian beam(DGB) has been derivedbased on the second moment method. It has been then shown that the results can be extended to some novel beams, such asthe sinh-Gaussian beam(ShGB) and sine-Gaussian beam(SiGB) etc., which can be regarded as a superposition of twoDGBs ...
Baida Lu, Hong Ma
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Helical Ince–Gaussian laser beams as superpositions of Hermite–Gaussian beams
Journal of the Optical Society of America AIn this work, we theoretically and numerically analyze helical Ince–Gaussian (hIG) modes, hIGp,q(x,y,ε). We derive explicit analytical relationships to describe the ε-dependence (where ε is the ellipticity parameter) of the orbital angular momentum (OAM) of hIGp,q(x,y,ε) modes at p=2,3,4,5. The derivation procedure relies on expansions of the hIG modes
Eugeny G. Abramochkin +2 more
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