Chirality in Light–Matter Interaction

Lininger, Andrew; Palermo, Giovanna; Guglielmelli, Alexa; Nicoletta, Giuseppe; Goel, Madhav; Hinczewski, Michael; Strangi, Giuseppe

doi:10.1002/adma.202107325

Cited by 87 publications

(59 citation statements)

References 398 publications

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“…If we consider the Poynting vector as a complex quantity, [21][22][23][24][25][26][27][28] the same conclusions are valid for its imaginary part. Notably, while the field-induced singularities are common for both real and imaginary parts of this complex vector field, the polarization-induced singularities associated with the formation of standing waves for real and imaginary parts are different.…”

Section: Discussionmentioning

confidence: 86%

“…21 This imaginary part plays an important role in some problems of light-matter interaction. [22][23][24][25][26][27][28] Therefore, the field of the imaginary part of the complex Poynting vector is of interest too. Regarding singular points of this field, we can say that since, at the field-induced singularities of the conventional real Poynting vector, S ≡ Re Ŝ, the entire complex amplitude of either electric or magnetic field vanishes, at these points Re Ŝ = Im Ŝ = 0.…”

Section: The Problem Formulationmentioning

confidence: 99%

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The Poynting vector field generic singularities in resonant scattering of plane linearly polarized electromagnetic waves by subwavelength particles

Tribelsky¹,

Rubinstein²

2022

Preprint

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We present the results of a study of the Poynting vector field generic singularities at the resonant light scattering of a plane monochromatic linearly polarized electromagnetic wave by a subwavelength particle. We reveal the impact of the problem symmetry, the spatial dimension, and the energy conservation law on the properties of the singularities. We show that, in the cases when the problem symmetry results in the existence of an invariant plane for the Poynting vector field lines, a formation of a standing wave in the immediate vicinity of a singularity gives rise to a saddle-type singular point. All other types of singularities are associated with vanishing at the singular points, either (i) magnetic field, for the polarization plane parallel to the invariant plane, or (ii) electric field, at the perpendicular orientation of the polarization plane. We also show that in the case of two-dimensional problems (scattering by a cylinder), the energy conservation law restricts the types of possible singularities only to saddles and centers in the

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Section: Discussionmentioning

confidence: 86%

Section: The Problem Formulationmentioning

confidence: 99%

The Poynting vector field generic singularities in resonant scattering of plane linearly polarized electromagnetic waves by subwavelength particles

Tribelsky¹,

Rubinstein²

2022

Preprint

View full text Add to dashboard Cite

show abstract

“…Moreover, the CDAD method is also suitable for investigating chiral surfaces or chiral molecules adsorbed at chiral or achiral surfaces. Recently, the relations between optical rotation, circular dichroism, and the chirality of light have been reviewed by A. Liniger et al [ 95 ]. The use of super-chiral and optimal chiral light will allow different pathways to examine chiral solids making use of novel dichroic effects.…”

Section: Electronic Structure and Chiralitymentioning

confidence: 99%

Chirality in the Solid State: Chiral Crystal Structures in Chiral and Achiral Space Groups

2022

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Chirality depends on particular symmetries. For crystal structures it describes the absence of mirror planes and inversion centers, and in addition to translations, only rotations are allowed as symmetry elements. However, chiral space groups have additional restrictions on the allowed screw rotations as a symmetry element, because they always appear in enantiomorphous pairs. This study classifies and distinguishes the chiral structures and space groups. Chirality is quantified using Hausdorff distances and continuous chirality measures and selected crystal structures are reported. Chirality is discussed for bulk solids and their surfaces. Moreover, the band structure, and thus, the density of states, is found to be affected by the same crystal parameters as chirality. However, it is independent of handedness. The Berry curvature, as a topological measure of the electronic structure, depends on the handedness but is not proof of chirality because it responds to the inversion of a structure. For molecules, optical circular dichroism is one of the most important measures for chirality. Thus, it is proposed in this study that the circular dichroism in the angular distribution of photoelectrons in high symmetry configurations can be used to distinguish the handedness of chiral solids and their surfaces.

show abstract

“…Moreover, the CDAD method is also suitable for investigating chiral surfaces or chiral molecules adsorbed at chiral or achiral surfaces. Recently, the relations between optical rotation, circular dichroism and the chirality of light have been reviewed by A. Liniger et al [89]. The use of super-chiral and optimal chiral light will allow different pathways to examine chiral solids making use of novel dichroic effects.…”

Section: Circular Dichoism Chirality and Electronic Structurementioning

confidence: 99%

Chirality in the Solid State: Chiral Crystal Structures in Chiral and Achiral Space Groups

Fecher¹,

Kübler²,

Felser³

2022

Preprint

View full text Add to dashboard Cite

Chirality depends on particular symmetries. For crystal structures it describes the absence of mirror planes and inversion centers, and in addition to translations, only rotations are allowed as symmetry elements. However, chiral space groups have additional restrictions on the allowed screw rotations as a symmetry element, because they always appear in enantiomorphous pairs. This study classifies and distinguishes the chiral structures and space groups. The chirality is quantified using Hausdorff distances and continuous chirality measures and selected crystal structures are reported. The chirality is discussed for bulk solids and their surfaces. Moreover, the band structure, and thus, the density of states, is found to be affected by the same crystal parameters as the chirality. However, it is independent of handedness. The Berry curvature, as a topological measure of the electronic structure, depends on the handedness, but is not a proof for the chirality because it responds on the inversion of a structure. For molecules, optical circular dichroism is one of the most important measures for the chirality. Thus, it is proposed in this study that the circular dichroism in the angular distribution of photoelectrons in high symmetry configurations can be used to distinguish the handedness of chiral solids and their surfaces.

show abstract

Chirality in Light–Matter Interaction

Cited by 87 publications

References 398 publications

The Poynting vector field generic singularities in resonant scattering of plane linearly polarized electromagnetic waves by subwavelength particles

The Poynting vector field generic singularities in resonant scattering of plane linearly polarized electromagnetic waves by subwavelength particles

Chirality in the Solid State: Chiral Crystal Structures in Chiral and Achiral Space Groups

Chirality in the Solid State: Chiral Crystal Structures in Chiral and Achiral Space Groups

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