Symmetry in Nonlinear Optics

A special issue of Symmetry (ISSN 2073-8994). This special issue belongs to the section "Physics".

Deadline for manuscript submissions: closed (31 July 2021) | Viewed by 5664

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Guest Editor
Department of Optics, Faculty of Physical Sciences, Universidad Complutense de Madrid, Pza. Ciencias 1, Ciudad Universitaria, 28040 Madrid, Spain
Interests: quantum optics; Fourier optics; coherence; entanglement; matter-wave interferometry; open quantum systems; Bohmian mechanics; foundations of quantum mechanics
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Special Issue Information

Dear Colleagues,

Nonlinear optics is currently a promising and growing research field due to its many applications, ranging from laser science to quantum technologies. Though nonlinear optical effects have been known for a long time (e.g., the Kerr effect was discovered in 1875 and the Pockels effect in 1893), the starting of the field is associated with the discovery of the second harmonic generation phenomenon in 1961, just one year after the first laser was switched on. Ever since, the field has diversified to into a number of important and interesting new phenomena, such as harmonic generation, self-focusing, plasmons, or parametric down conversion, which are currently very active research fields on their own.

At a more fundamental level, the efforts being made to find underlying symmetries in Nature are also widely known. This search has always fascinated us, not only because of the inherent beauty at a mathematical level, but because of far-reaching implications—particularly regarding conservation laws—which in turn has led to the discovery and classification of the different families of elementary particles, or the  prediction and search for new ones. Nonetheless, within a wider scenario, the behavior exhibited by physical systems is also connected with the concept of symmetry—for example, when we talk about pattern formation (fractality, percolation, etc.), which in the realm of optics is typically connected to phase-dependent (interference and diffraction) phenomena.

The underlying idea behind this Special Issue of Symmetry is to feature articles and reviews that are of tremendous interest to scientists who study linear and nonlinear optics, all oriented around the common leitmotiv of symmetry. We thus seek contributions across the entire breadth of the field, which may deal (but not exclusively) with the notions of symmetry-breaking, nonlinear optics, quantum optics, Fourier optics, pattern formation, interference, diffraction, coherence, entanglement, matter-wave interferometry, or open quantum systems.

Prof. Dr. Ángel S. Sanz
Guest Editor

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Keywords

  • second harmonic generation
  • high-harmonic generation
  • solitons and plasmons
  • parametric down conversion
  • self-focusing
  • entanglement
  • quantum technologies

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Published Papers (2 papers)

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18 pages, 1523 KiB  
Article
Quo Vadis Nonlinear Optics? An Alternative and Simple Approach to Third Rank Tensors in Semiconductors
by Hendradi Hardhienata, Salim Faci, Adalberto Alejo-Molina, Mohammad Ryan Priatama, Husin Alatas and Muhammad Danang Birowosuto
Symmetry 2022, 14(1), 127; https://doi.org/10.3390/sym14010127 - 10 Jan 2022
Cited by 5 | Viewed by 2431
Abstract
It is well understood that nonlinear optical (NLO) phenomena are deeply related to the material’s symmetry. Mathematically, the material symmetry can be described in terms of the nonzero parameters in the nonlinear susceptibility tensors. Generally, more complex structures involve more nonzero parameters in [...] Read more.
It is well understood that nonlinear optical (NLO) phenomena are deeply related to the material’s symmetry. Mathematically, the material symmetry can be described in terms of the nonzero parameters in the nonlinear susceptibility tensors. Generally, more complex structures involve more nonzero parameters in the tensor. The number of parameters increases rapidly if higher NLO orders are considered, complicating the physical analysis. Conventionally, these parameters are obtained via abstract symmetry analysis, e.g., group theory (GT). This work presents a novel theoretical analysis to approach the nonlinear tensor using the simplified bond hyperpolarizability model (SBHM) and compare it with GT. Our analysis is based on a light–matter interaction classical phenomenological physical framework. Rather than just looking at the symmetry of the crystal, the model applies physical considerations requiring fewer independent parameters in the tensor than GT. Such a simplification significantly improves the determination of the surface–bulk SHG contribution factors, which cannot be extracted from the experiment alone. We also show for the case of perovskite that the SHG contribution can be addressed solely from their surface dipoles with only one independent component in the tensor. Therefore, this work may open the path for a similar analysis in other complicated semiconductor surfaces and structures in the future, with potential applications to nanoscale surface characterization and real-time surface deposition monitoring. Full article
(This article belongs to the Special Issue Symmetry in Nonlinear Optics)
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11 pages, 838 KiB  
Article
Asymmetric Scattering and Reciprocity in a Plasmonic Dimer
by Mehmet Ali Kuntman, Ertan Kuntman and Oriol Arteaga
Symmetry 2020, 12(11), 1790; https://doi.org/10.3390/sym12111790 - 29 Oct 2020
Cited by 1 | Viewed by 2062
Abstract
We study the scattering of polarized light by two equal corner stacked Au nanorods that exhibit strong electromagnetic coupling. In the far field, this plasmonic dimer manifests very prominent asymmetric scattering in the transverse direction. Calculations based on a system of two coupled [...] Read more.
We study the scattering of polarized light by two equal corner stacked Au nanorods that exhibit strong electromagnetic coupling. In the far field, this plasmonic dimer manifests very prominent asymmetric scattering in the transverse direction. Calculations based on a system of two coupled oscillators, as well as simulations based on the boundary element method, show that, while in one configuration both vertical and horizontal polarization states are scattered to the detector, when we interchange the source and the detector, the scattered intensity of the horizontal polarization drops to zero. Following Perrin’s criterion, it can be shown that this system, as well as any other linear system not involving magneto-optical effects, obeys the optical reciprocity principle. We show that the optical response of the plasmonic dimer, while preserving electromagnetic reciprocity, can be used for the non-reciprocal transfer of signals at a subwavelength scale. Full article
(This article belongs to the Special Issue Symmetry in Nonlinear Optics)
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