Revival and splitting of a Gaussian beam in gradient index media

Arrizón, Víctor; Soto‐Eguibar, Francisco; Zúñiga-Segundo, Arturo; Moya‐Cessa, H.

doi:10.1364/josaa.32.001140

Cited by 20 publications

(10 citation statements)

References 18 publications

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“…In the context of GRIN media, with quadratic refractive index dependence in the radial coordinate, knowledge from harmonic oscillator-type Hamiltonians can be used for the solution beyond the paraxial regime. As a significant result in this context, we established previously the long period revival and splitting of a Gaussian beam, transmitted by a quadratic GRIN medium [11,12]. Such effects are theoretically predicted expressing the Taylor series for the propagation operator up to the second order, i. e. including an additional term beyond the paraxial approximation.…”

Section: Introductionmentioning

confidence: 93%

Generalized revival and splitting of an arbitrary optical field in GRIN media

Moya‐Cessa¹,

Soto‐Eguibar²,

Arrizón³

et al. 2016

Opt. Express

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Assuming a non-paraxial propagation operator, we study the propagation of an electromagnetic field with an arbitrary initial condition in a quadratic GRIN medium. We show analytically that at certain specific periodic distances, the propagated field is given by the fractional Fourier transform of a superposition of the initial field and of a reflected version of it. We also prove that for particular wavelengths, there is a revival and a splitting of the initial field. We apply this results, first to an initial field given by a Bessel function and show that it splits into two generalized Bessel functions, and second, to an Airy function. In both cases our results are compared with the numerical ones.

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Section: Introductionmentioning

confidence: 93%

Generalized revival and splitting of an arbitrary optical field in GRIN media

Moya‐Cessa¹,

Soto‐Eguibar²,

Arrizón³

et al. 2016

Opt. Express

Self Cite

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“…In [53,54,[68][69][70], exact analytical expressions for the trajectory and width of nonparaxial wave beams are obtained. It should be noted that the revival effect in a cylindrical GRIN rod, which occurs during nonparaxial propagation, was also recently studied in [71]. However, the problem was considered in the framework of the scalar Helmholtz equation, which is not the case of nonparaxial propagation of a light beam in a cylindrical waveguide.…”

Section: Vector Laguerre-gauss (Lg) Beams In a Graded-index Fibermentioning

confidence: 99%

Depolarization of Light in Optical Fibers: Effects of Diffraction and Spin-Orbit Interaction

Petrov

2021

Fibers

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Polarization is measured very often to study the interaction of light and matter, so the description of the polarization of light beams is of both practical and fundamental interest. This review discusses the polarization properties of structured light in multimode graded-index optical fibers, with an emphasis on the recent advances in the area of spin-orbit interactions. The basic physical principles and properties of twisted light propagating in a graded index fiber are described: rotation of the polarization plane, Laguerre–Gauss vector beams with polarization-orbital angular momentum entanglement, splitting of degenerate modes due to spin-orbit interaction, depolarization of light beams, Berry phase and 2D and 3D degrees of polarizations, etc. Special attention is paid to analytical methods for solving the Maxwell equations of a three-component field using perturbation analysis and quantum mechanical approaches. Vector and tensor polarization degrees for the description of strongly focused light beams and their geometrical interpretation are also discussed.

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“…Quadratic gradient-index (GRIN) media has been studied extensively over the years [1][2][3][4][5][6]. It is well-known that such media produce focusing of the incoming field as it generates its fractional Fourier transform that for certain distances of propagation produces the full Fourier transform.…”

Section: Introductionmentioning

confidence: 99%

Propagation of light in linear and quadratic GRIN media: The Bohm potential

Asenjo,

Hojman,

Moya-Cessa

et al. 2020

Preprint

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It is shown that field propagation in linear and quadratic gradient-index (GRIN) media obeys the same rules of free propagation in the sense that a field propagating in free space has a (mathematical) form that may be exported to those particular GRIN media. The Bohm potential is introduced in order to explain the reason of such behavior: it changes the dynamics by modifying the original potential. The concrete cases of two different initials conditions for each potential are analyzed.

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Revival and splitting of a Gaussian beam in gradient index media

Cited by 20 publications

References 18 publications

Generalized revival and splitting of an arbitrary optical field in GRIN media

Generalized revival and splitting of an arbitrary optical field in GRIN media

Depolarization of Light in Optical Fibers: Effects of Diffraction and Spin-Orbit Interaction

Propagation of light in linear and quadratic GRIN media: The Bohm potential

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