Higher radial orders of Laguerre–Gaussian beams in nonlinear wave mixing processes

Pires, Danilo Gomes; Rocha, J. C. A.; Jesus‐Silva, Alcenísio J.; Fonseca, E. J. S.

doi:10.1364/josab.384112

Cited by 8 publications

(6 citation statements)

References 50 publications

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“…Interestingly, the coupling is not only between light and matter, but between differences in structure of the fields themselves, particularly within a given family. For instance, the “untwisting” of the azimuthal phase of an OAM LG mode, in turn, alters the radial index 196 , with the rules governing this interaction only recently unveiled 197 , and shown to be true for wave mixing processes of any order 198 . Similar processes have been observed with HG modes 199 , Ince-Gaussian 200 , 201 and Bessel-Gaussian modes 202 , confirming OAM conservation 87 and exploring the selection rules of these families.…”

Section: Higher-dimensional and Multiple Dof Classically Structured L...mentioning

confidence: 99%

Towards higher-dimensional structured light

2022

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Structured light refers to the arbitrarily tailoring of optical fields in all their degrees of freedom (DoFs), from spatial to temporal. Although orbital angular momentum (OAM) is perhaps the most topical example, and celebrating 30 years since its connection to the spatial structure of light, control over other DoFs is slowly gaining traction, promising access to higher-dimensional forms of structured light. Nevertheless, harnessing these new DoFs in quantum and classical states remains challenging, with the toolkit still in its infancy. In this perspective, we discuss methods, challenges, and opportunities for the creation, detection, and control of multiple DoFs for higher-dimensional structured light. We present a roadmap for future development trends, from fundamental research to applications, concentrating on the potential for larger-capacity, higher-security information processing and communication, and beyond.

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Section: Higher-dimensional and Multiple Dof Classically Structured L...mentioning

confidence: 99%

Towards higher-dimensional structured light

2022

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“…The combination between structured laser beams and nonlinear transformation on the transverse pattern variation has been of great interest in recent years. The SFG, 127 – 130 SHG, 131 – 140 FWM, 141 , 142 and other frequency upconversion 143 – 145 methods have been studied in the nonlinear process of structured laser beams. The variation of OAM in the nonlinear process are one of the focuses of these studies.…”

Section: Structured Beam Patterns Generated By Nonlinear Processesmentioning

confidence: 99%

“…This conservation law is also applicable to fractional and odd-order OAM beams 134 . The generation of LG beams with higher radial orders and IG beams through a nonlinear wave mixing process was further investigated to obtain more complex beam patterns 130 , 139 , 140 . However, in the above studies, the characteristics of the frequency-doubled beam patterns during propagation have hardly been mentioned.…”

Section: Structured Beam Patterns Generated By Nonlinear Processesmentioning

confidence: 99%

“…Combining nonlinear frequency conversion with the generation of structured laser beams, the beam patterns of harmonic waves are found to be endowed with much richer spatial information. Through nonlinear frequency conversion of structured laser beams, the beam pattern transformations in sum frequency generation (SFG), 127 – 130 second-harmonic generation (SHG), 131 – 140 four-wave mixing (FWM), 141 , 142 and other frequency upconversion 143 – 145 processes are carried out. Usually, these studies first generate structured beams with the help of modulation devices (such as SLM), and then carry out nonlinear conversion, which belongs to the external cavity nonlinear process of structured laser beams.…”

Section: Introductionmentioning

confidence: 99%

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Evolution on spatial patterns of structured laser beams: from spontaneous organization to multiple transformations

Wang

Zhang

et al. 2023

Adv. Photon. Nexus

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Spatial patterns are a significant characteristic of lasers. The knowledge of spatial patterns of structured laser beams is rapidly expanding, along with the progress of studies on laser physics and technology. Particularly in the last decades, owing to the in-depth attention on structured light with multiple degrees of freedom, the research on spatial and spatiotemporal structures of laser beams has been promptly developed. Such beams have hatched various breakthroughs in many fields, including imaging, microscopy, metrology, communication, optical trapping, and quantum information processing. Here, we would like to provide an overview of the extensive research on several areas relevant to spatial patterns of structured laser beams, from spontaneous organization to multiple transformations. These include the early theory of beam pattern formation based on the Maxwell-Bloch equations, the recent eigenmodes superposition theory based on the time-averaged Helmholtz equations, the beam patterns extension of ultrafast lasers to the spatiotemporal beam structures, and the structural transformations in the nonlinear frequency conversion process of structured beams.

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Section: Scalar Structured Lightmentioning

confidence: 99%

Nonlinear optics with structured light

Buono¹,

Forbes²

2022

OEA

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The interest in tailoring light in all its degrees of freedom is steadily gaining traction, driven by the tremendous developments in the toolkit for the creation, control and detection of what is now called structured light. Because the complexity of these optical fields is generally understood in terms of interference, the tools have historically been linear optical elements that create the desired superpositions. For this reason, despite the long and impressive history of nonlinear optics, only recently has the spatial structure of light in nonlinear processes come to the fore. In this review we provide a concise theoretical framework for understanding nonlinear optics in the context of structured light, offering an overview and perspective on the progress made, and the challenges that remain.

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Higher radial orders of Laguerre–Gaussian beams in nonlinear wave mixing processes

Cited by 8 publications

References 50 publications

Towards higher-dimensional structured light

Towards higher-dimensional structured light

Evolution on spatial patterns of structured laser beams: from spontaneous organization to multiple transformations

Nonlinear optics with structured light

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