Propagation of an Airy-Gaussian beam passing through a lens with low effective Fresnel number

Zhu, Jun; Tang, Huiqin; Gao, Qilin

doi:10.1016/j.rinp.2019.102854

Cited by 6 publications

(3 citation statements)

References 50 publications

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“…where, 𝑎 and 𝑏 are truncated factors of the Airy beam and 𝛼 and 𝛽 arbitrary transverse scaling factors in the 𝑥 and 𝑦 directions [17,19].…”

Section: Shg (A) (C) (B)mentioning

confidence: 99%

Nonlinear Conversion of Orbital Angular Momentum States of Light

Bassène¹,

Buldt²,

Rumman³

et al. 2021

Preprint

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We investigate the second harmonic generation of light field carrying orbital angular momentum in bulk 𝜒 (2) material. We show that due to conservation of energy and momentum, the frequency doubled beam light has a modified spatial distribution and mode characteristics. Through rigorous phase matching conditions, we demonstrate efficient mode and frequency conversion based on three wave nonlinear optical mixing.

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“…where, 𝑎 and 𝑏 are truncated factors of the Airy beam and 𝛼 and 𝛽 arbitrary transverse scaling factors in the 𝑥 and 𝑦 directions [17,19].…”

Section: Shg (A) (C) (B)mentioning

confidence: 99%

Nonlinear Conversion of Orbital Angular Momentum States of Light

Bassène¹,

Buldt²,

Rumman³

et al. 2021

Preprint

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show abstract

“…The eikonal equation associated to (6) gets an extra term (as compared to the ray optics limit) V B (x, z), the Bohm potential, which appears as a modification to the GRIN medium refractive index in a Pythagorean or pseudo-Pythagorean fashion, depending on the relative signs of (the squares of) the refractive index and the Bohm refractive index,…”

Section: The Bohm Potentialmentioning

confidence: 99%

“…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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Evolution of Airy-Gaussian pulses in photonic crystal fiber with two zero-dispersion wavelengths

Peng

et al. 2022

Optik

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Propagation of an Airy-Gaussian beam passing through a lens with low effective Fresnel number

Cited by 6 publications

References 50 publications

Nonlinear Conversion of Orbital Angular Momentum States of Light

Nonlinear Conversion of Orbital Angular Momentum States of Light

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

Evolution of Airy-Gaussian pulses in photonic crystal fiber with two zero-dispersion wavelengths

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