Comparative studies of paraxial and nonparaxial vectorial elegant Laguerre-Gaussian beams

Mei, Zhangrong; Gu, Juguan

doi:10.1364/oe.17.014865

Cited by 17 publications

(7 citation statements)

References 13 publications

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“…A coherent standard LG beam spreads more rapidly than a partially coherent elegant LG beam (see Fig. 3(a)), as expected [27][28][29][30][31][32][33][34][35][36][37]. When the coherence width is large, a partially coherent elegant LG beam still spreads slower than a partially coherent standard LG beam (see Fig.…”

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confidence: 67%

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Partially coherent standard and elegant Laguerre-Gaussian beams of all orders

2009

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Partially coherent standard and elegant Laguerre-Gaussian (LG) beams of all orders are introduced as a natural extension of coherent standard and elegant LG beams to the stochastic domain. By expanding the LG modes into a finite sum of Hermite-Gaussian modes, the analytical formulae are obtained for the cross-spectral densities of partially coherent standard and elegant LG beams in the source plane and after passing through paraxial ABCD optical system, based on the generalized Collins integral formula. A comparative study of the propagation properties of the partially coherent standard and elegant LG beams in free space is carried out via a set of numerical examples. Our results indicate that the intensity and spreading properties of partially coherent standard and elegant LG beams are closely related to their initial coherence states, and are very different from the corresponding results for the coherent standard and elegant LG beams. In particular, an elegant LG beam spreads slower than a standard LG beam, while this advantage disappears when their initial coherences are very small. Our results may find applications in connection with laser beam shaping, singular optics and astrophysical measurements of angular momentum of radiation.

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confidence: 67%

“…Elegant LG beams were also proposed as a tool for describing axisymmetric flattened Gaussian beams [31]. Paraxial and non-paraxial propagation of elegant LG beams have been carried out in [32][33][34][35][36][37].…”

Section: Introductionmentioning

confidence: 99%

Partially coherent standard and elegant Laguerre-Gaussian beams of all orders

2009

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“…In this article, we extend the study of the second order term of the optical geometrical phase to Hermite-Gaussian beams propagating through a mixed configuration of transversal and parallel dielectric blocks. These beams play an important role in the development of resonators [13][14][15][16], as well as in the production of Laguerre-Gaussian beams [14][15][16][17]. So, a correct description of their propagation through dielectric blocks and an understanding on how their shape is modified by a mixed transversal and parallel configuration of dielectric blocks is surely important in view of their applications.…”

Section: Introductionmentioning

confidence: 99%

The effect of the geometrical optical phase on the propagation of Hermite-Gaussian beams through transversal and parallel dielectric blocks

Carvalho¹

2018

Journal of Modern Optics

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When an optical beam propagates through dielectric blocks, its optical phase is responsible for the path of the beam. In particular, the first order Taylor expansion of the geometrical part reproduces the path predicted by the Snell and reflection laws whereas the first order expansion of the Fresnel phase leads to the Goos-Hänchen shift. In this paper, we analyze the effects of the second order Taylor expansion of the geometrical phase on the shape of the optical beam and show how it affects the transversal symmetry of Hermite-Gaussian beams. From the analytical expression of the transmitted beam, it is possible to determine in which transversal and parallel dielectric blocks configuration the transversal symmetry breaking is maximized or when the symmetry is recovered. We also discuss the axial spreading delay. arXiv:1901.07279v1 [physics.optics]

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“…Elegant Laguerre-Gaussian beams can be used as a new tool to describe the axisymmetric flattened Gaussian beam [20]. The elegant Laguerre-Gaussian beams have also been extended to the nonparaxial case [21,22] and the partially coherent case [23][24][25].…”

Section: Introductionmentioning

confidence: 99%

Orbital Angular Momentum Density of an Elegant Laguerre-Gaussian Beam

Zhou¹,

Ru²

2013

PIER

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Abstract-Based on the method of the vectorial angular spectrum, an analytical expression of the electric field of an elegant LaguerreGaussian beam in free space is derived beyond the paraxial approximation, and the corresponding magnetic field is obtained by taking the curl of the electric field. By using the expressions for the electromagnetic fields, the expression of the orbital angular momentum density of the elegant Laguerre-Gaussian beam is derived, which is applicable to both the near and far fields. The effects of the three beam parameters on the distribution of the orbital angular momentum density of the elegant Laguerre-Gaussian beam are studied. The distribution of the orbital angular momentum density of the elegant Laguerre-Gaussian beam is also compared with that of the standard Laguerre-Gaussian beam. The result shows that the distribution of the orbital angular momentum density of the elegant Laguerre-Gaussian beam is more simple and centralized than that of the standard Laguerre-Gaussian beam.

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Comparative studies of paraxial and nonparaxial vectorial elegant Laguerre-Gaussian beams

Cited by 17 publications

References 13 publications

Partially coherent standard and elegant Laguerre-Gaussian beams of all orders

Partially coherent standard and elegant Laguerre-Gaussian beams of all orders

The effect of the geometrical optical phase on the propagation of Hermite-Gaussian beams through transversal and parallel dielectric blocks

Orbital Angular Momentum Density of an Elegant Laguerre-Gaussian Beam

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