Significant deformations and propagation variations of Laguerre-Gaussian beams reflected and transmitted at a dielectric interface

Okuda, Hiroshi; Sasada, Hiroyuki

doi:10.1364/josaa.25.000881

Cited by 53 publications

(50 citation statements)

References 32 publications

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“…This is not true for Laguerre-Gaussian beams because of the angular momentum carried by the beam. The inherent orbital angular momentum [22] of the beam and the lateral Feodorov-Imbert shift are responsible for the distortion of the beam profile upon reflection [24,26]. Thus, loosely focussed higher-order Hermite-Gaussian beams can retain their identity upon reflection, while the Laguerre-Gaussian beams can be distorted beyond recognition.…”

Section: Numerical Results and Discussionmentioning

confidence: 99%

“…(15) leads to a simple s-polarized beam all throughout [26]. Hereafter, we refer to this approximation as the strong paraxial approximation.…”

Section: Mathematical Formulationmentioning

confidence: 99%

“…It was shown by the same authors in a later paper that the suppression of the correction due to the longitudinal component recovers Artman formula for the shift [4]. There has been a great deal of interest in the Laguerre-Gaussian beams and their longitudinal and lateral shifts in view of the angular momentum carried by the beam [21][22][23][24][25][26]. The longitudinal and transverse shifts for the Laguerre-Gaussian beams were calculated by Bliokh et al [24] and verified experimentally by Merano et al [25].…”

Section: Introductionmentioning

confidence: 99%

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Goos–Hänchen shift for higher-order Hermite–Gaussian beams

Golla

Gupta

2011

Pramana - J Phys

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We study the reflection of a Hermite-Gaussian beam at an interface between two dielectric media. We show that unlike Laguerre-Gaussian beams, Hermite-Gaussian beams undergo no significant distortion upon reflection. We report Goos-Hänchen shift for all the spots of a higherorder Hermite-Gaussian beam near the critical angle. The shift is shown to be insignificant away from the critical angle. The calculations are carried out neglecting the longitudinal component along the direction of propagation for a spatially finite, s-polarized, full 3D vector beam. We briefly discuss the difficulties associated with the paraxial approximation pertaining to a vector Gaussian beam.

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Section: Numerical Results and Discussionmentioning

confidence: 99%

“…(15) leads to a simple s-polarized beam all throughout [26]. Hereafter, we refer to this approximation as the strong paraxial approximation.…”

Section: Mathematical Formulationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Goos–Hänchen shift for higher-order Hermite–Gaussian beams

Golla

Gupta

2011

Pramana - J Phys

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“…In any case, for oblique incidence of narrow beams with helical structure, especially for critical incidence of TIR, the field amplitude and phase spatial distribution of the beam is so strongly deformed [9] that the direct application of the spatial shift analysis seems to be too approximate in this case. Therefore, notions of the beam spatial shifts, approximations of the g-o type or averaging procedures in the beam field evaluation are absent in the analysis presented in this paper.…”

Section: Cross-polarized Normal Mode Patterns At a Dielectric Interfacementioning

confidence: 99%

“…However, the narrow LG beams suffer from such huge distortions during their reflection/transmission at the interface [9] that their description only in terms of the spatial shifts may appear insufficient even approximately. In other words, the field distribution of the LG beams in their amplitude and phase is rather distorted than displaced at the interface, especially in the case of critical incidence.…”

Section: Introductionmentioning

confidence: 99%

Cross-polarized normal mode patterns at a dielectric interface

Nasalski¹

2010

Bulletin of the Polish Academy of Sciences: Technical Sciences

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Abstract. Basic features of narrow optical beam interactions with a dielectric interface are analysed. As it was recently shown, two types of paraxial beams -elegant Hermite-Gaussians of linear polarization and elegant Laguerre-Gaussians of circular polarization -can be treated as vector normal modes of the interface [1]. In this contribution the problem of normal modes is discussed with special attention paid for the case of beam oblique incidence. Excitation of higher-order modes by cross-polarization coupling is described and it is shown that this process critically depends on a propagation direction of the incident beam. Besides the expected changes of mode indices induced by generalised transmission and reflection matrices, the new phenomenon of optical vortex spectral splitting at the interface is revealed and off-axis spectral placements of the splitted vortices are determined. Results of numerical simulations given here for beam reflection entirely confirm theoretical predictions even for beams beyond the range of paraxial approximation.

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Reflection and transmission of Laguerre-Gaussian beams in a dielectric slab

Honary

et al. 2017

Journal of Quantitative Spectroscopy and Radiative Transfer

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This paper considers the reflection and transmission characteristics of a Laguerre-Gaussian (LG) beam in a dielectric slab. The fields of the reflected and transmitted beams are described based on plane-wave angular spectrum representation. Using the generalized Fresnel amplitude reflectance and transmittance, the reflected and transmitted fields in each region are expressed. With the Taylor series approximation of reflectance and transmittance, the analytical expressions of the total reflected and transmitted fields in the input and output regions are derived. The effects of the beam-waist radius and topological charge on the reflected and transmitted field intensities are simulated and discussed in detail. The centroid shifts of the reflected beam are also presented. It is concluded that the distortion of the intensity distribution including the size of the intensity contour, is influenced by the beam-waist radius and the topological charge of the incident beam. The total intensity of the slab, in particular for the case of the transmitted field, is found to be distinguishable from the case of the single interface.

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Significant deformations and propagation variations of Laguerre-Gaussian beams reflected and transmitted at a dielectric interface

Cited by 53 publications

References 32 publications

Goos–Hänchen shift for higher-order Hermite–Gaussian beams

Goos–Hänchen shift for higher-order Hermite–Gaussian beams

Cross-polarized normal mode patterns at a dielectric interface

Reflection and transmission of Laguerre-Gaussian beams in a dielectric slab

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