Self-healing of Hermite-Gauss and Ince-Gauss beams

Aguirre-Olivas, Dilia; Mellado-Villaseñor, Gabriel; Arrizón, Víctor; Chávez-Cerda, Sabino

doi:10.1117/12.2187293

Cited by 8 publications

(8 citation statements)

References 8 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Inspired by the study of the self-healing of optical vortices, similar studies for other general kinds of optical wave modes based on diffractive modeling were also reported, for instance, the self-healing of LG, Hermite-Gauss (HG) and Ince-Gauss (IG) beams [78][79][80][81][82][83]. The wave-optics description of the self-healing mechanism is also suitable in explaining a Bessel beam's self-healing in a quantitative manner [84,85].…”

Section: Wave Explanationmentioning

confidence: 87%

Self-healing of structured light: a review

Shen

Pidishety

Nape

et al. 2022

J. Opt.

View full text Add to dashboard Cite

Self-healing, a counterintuitive but significant effect in structured light, that granting a light field the ability to reconstruct itself after a partial obstruction placed in its propagation path. Here, we will give a comprehensive review of the history and development of self-healing effects, especially highlighting its importance in vector vortex beams carrying spin and orbital angular momenta. Moreover, an unified zoology of self-healing, structured light is proposed to unveil a deeper understanding of its physical mechanism and provide a bird's eye view on diverse forms of self-healing effects of different kinds of complex structured light. Finally, we outline the open challenges we are facing, potential opportunities and future trends for both fundamental physics and applications.

show abstract

Section: Wave Explanationmentioning

confidence: 87%

Self-healing of structured light: a review

Shen

Pidishety

Nape

et al. 2022

J. Opt.

View full text Add to dashboard Cite

show abstract

“…Initially, it was thought that the beam self-healing property was affected by its non-diffraction behavior. However, the obtained results in recent years show that the self-healing property of structured light is not limited to non-diffracting beams such as Bessel, Bessel-Gaussian, Pearcey, and Airy; it is reliable for diffracting beams such as Hermite-Gaussian, Ince-Gaussian, Laguerre-Gaussian [7][8][9][10][11][12][13][14][15][16][17][18][19][20][21].…”

Section: Introductionmentioning

confidence: 99%

“…Moreover, the ability to reconstruct the beam is an effective property in quantum communication and information transfer for recovering the damaged or lost information due to turbulence and environmental disturbances [5,[27][28][29][30][31][32]. Since orthogonal states of structured light such as orbital angular momentum (OAM) are used in optical communication to increase the capacity and security of information transmission, attention to the self-healing property of beams carrying OAM has increased [5,12,13,27,28,31]. For this purpose, several studies have been performed to increase the propagation distance for more stability of the optical beam structure and the propagation capability in scatterer mediums such as seawater [5,28,31].…”

Section: Introductionmentioning

confidence: 99%

A new criterion for self-healing quantification of structured light beams

Saadati¹,

Amiri²,

Akhlaghi³

et al. 2023

J. Opt.

View full text Add to dashboard Cite

‎This paper introduces a new approach to the self-healing quantification of structured light beams‎. ‎The self-healing is quantitatively determined by defining a self-healing degree (SHD) and a similarity function based on comparing the intensity distributions of the perturbed and unperturbed beams‎. ‎In addition‎, ‎the SHD is employed for two other intensity-based methods to compare the methods' performance. The Bessel beams with integer and fractional topological charges are examined numerically to verify the method‎. ‎Further‎, ‎the effect of superposition of the Bessel and mirrored Bessel beams with respect to the x-axis on the self-healing property is investigated‎. ‎The perturbation of the beams is applied using a pair of circular masks as a symmetric perturbation‎. ‎The propagating of perturbed and unperturbed beams is simulated by the angular spectrum method‎. ‎The obtained quantitative results are confirmed by the intuitive results and also the accuracy of the proposed method is similar to the other used methods‎. ‎‎‎On the other hand‎, ‎due to using fewer calculations with respect to them and so is less time-consuming ‎(about 57\% and 67\% reduction in computational time)‎, ‎it can be used as an adequate alternative method‎. ‎‎‎As a result of this method‎, ‎it is shown that the superposition of Bessel beams with their mirrored ones is an effective factor to improve the self-healing property‎, ‎in which the SHD of the superposed beams is more than the Bessel beams for each topological charge‎. ‎It is also shown that using the fractional topological charge beams is another advantageous improvement to increase the SHD‎.

show abstract

“…Different forms of the Hermite-Gauss functions have seen wide usage in physics and chemistry, e.g., in the context of detection of gravitational waves [4,16], quantum encoding [2] and communication [10], quantum entanglement with Hermite-Gauss beams [17], self-healing [1] and non-diffracting [5] (elegant) Hermite-Gauss beams, detection beyond the diffraction limit [11], Goos-Hänchen shift on reflection of a graphene monolayer [18], soft X-ray orbital angular momentum analysis [9], turbulence-resistant laser beams [6], and for numeric integration [12]. This list is far from exhaustive.…”

Section: Introductionmentioning

confidence: 99%

On the Properties of the Anisotropic Multivariate Hermite-Gauss Functions

Steinberg,

Eğecioğlu,

Yan

2021

Preprint

View full text Add to dashboard Cite

The Hermite-Gauss basis functions have been extensively employed in classical and quantum optics due to their convenient analytic properties. A class of multivariate Hermite-Gauss functions, the anisotropic Hermite-Gauss functions, arise by endowing the standard univariate Hermite-Gauss functions with a positive definite quadratic form. These multivariate functions admit useful applications in optics, signal analysis and probability theory, however they have received little attention in literature. In this paper, we examine the properties of these functions, with an emphasis on applications in computational optics.

show abstract

Self-healing of Hermite-Gauss and Ince-Gauss beams

Cited by 8 publications

References 8 publications

Self-healing of structured light: a review

Self-healing of structured light: a review

A new criterion for self-healing quantification of structured light beams

On the Properties of the Anisotropic Multivariate Hermite-Gauss Functions

Contact Info

Product

Resources

About