On the conservation of helicity in a chiral medium
TLDR
In this paper, the energy and helicity densities of circularly polarised light within a lossless chiral medium, characterised by the chirality parameter $\beta$, were investigated.Abstract:
We consider the energy and helicity densities of circularly polarised light within a lossless chiral medium, characterised by the chirality parameter $\beta$. A form for the helicity density is introduced, valid to first order in $\beta$, that produces a helicity of $\pm\hbar$ per photon for right and left circular polarisation, respectively. This is in contrast to the result obtained if we use the form of the helicity density employed for linear media. We examine the helicity continuity equation, and show that this modified form of the helicity density is required for consistency with the dual symmetry condition of a chiral medium with a constant value of ${\epsilon}/{\mu}$. Extending the results to arbitrary order in $\beta$ establishes an exact relationship between the energy and helicity densities in a chiral medium.read more
Citations
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On enhanced sensing of chiral molecules in optical cavities
Philip Scott,Xavier Garcia-Santiago,Dominik Beutel,Carsten Rockstuhl,Martin Wegener,Ivan Fernandez-Corbaton +5 more
TL;DR: In this paper, optical cavities for enhancing vibrational circular dichroism have been introduced to enhance the sensitivity of chiral molecules to incident left and right-handed circularly polarized light for sensing the handedness of molecules.
Journal ArticleDOI
Chirality and helicity of linearly-polarised Laguerre-Gaussian beams of small beam waists
TL;DR: In this article, the chirality and helicity of a linearly polarised Laguerre-Gaussian (LG) beam were examined, and it was shown that this chiral behaviour persists and the patterns evolve so that on planes at z 0 and z > 0, the beam convergence phase contributes differently to the changes in the CHI and CHI distributions.
Journal ArticleDOI
Total helicity of electromagnetic fields and matter
TL;DR: In this paper, the electromagnetic helicity of the free electromagnetic field and the static magnetic helicity are shown to be two different embodiments of the same physical quantity, the total helicity.
Proceedings ArticleDOI
Continuous symmetries and conservation laws in chiral media
TL;DR: In this article, local conserved quantities of the electromagnetic field in lossless chiral media are derived from Noether's theorem, including helicity, chirality, momentum, and angular momentum, as well as the separate spin and orbital components of this last quantity.
Multidimensional measures of electromagnetic chirality and their conformal invariance
TL;DR: In this paper, an infinite-dimensional pseudovector called chirality signature was defined to quantify the multidimentional nature of electromagnetic chiral properties and to continuously distinguish any pair of enantiomers.
References
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Journal ArticleDOI
Quantised Singularities in the Electromagnetic Field
TL;DR: The steady progress of physics requires for its theoretical formulation a mathematics that gets continually more advanced as discussed by the authors, and it seems likely that this process of increasing abstraction will continue in the future and that advance in physics is to be associated with a continual modification and generalisation of the axioms at the base of the mathematics rather than with a logical development of any one mathematical scheme on a fixed foundation.
Journal ArticleDOI
Magnetic monopoles in spin ice
TL;DR: This work proposes that magnetic monopoles emerge in a class of exotic magnets known collectively as spin ice: the dipole moment of the underlying electronic degrees of freedom fractionalises into monopoles, which would account for a mysterious phase transition observed experimentally in spin ice in a magnetic field.
Journal ArticleDOI
Dual electromagnetism: Helicity, spin, momentum, and angular momentum
TL;DR: The dual symmetry between electric and magnetic fields is an important intrinsic property of Maxwell equations in free space as mentioned in this paper, which underlies the conservation of optical helicity and is closely related to the separation of spin and orbital degrees of freedom of light.
Book
Beltrami Fields in Chiral Media
TL;DR: Beltrami fields and the Maxwell postulates Beltrami field theory chiral materials field theory for chiral media I field theory as discussed by the authors, and I radiation in chiral Media plane boundaries bounded chiral regions scattering inside a chiral medium.