Symmetry in optics and photonics: a group theory approach

@article{RodriguezLara2017SymmetryIO,
  title={Symmetry in optics and photonics: a group theory approach},
  author={B. M. Rodr'iguez-Lara and Ramy El-Ganainy and Julio Guerrero},
  journal={arXiv: Optics},
  year={2017}
}
View PDF on arXiv
21 Citations
Background Citations
4
Methods Citations
3

Figures from this paper

21 Citations

Citation Type

Citation Type

Parity-time Symmetry in Non-Hermitian Complex Media
The explorations of the quantum-inspired symmetries in optical and photonic settings have witnessed immense research interests both in the realms of fundamental physics as well as novel technological…
Parity‐Time Symmetry in Non‐Hermitian Complex Optical Media
TLDR
It can be anticipated that this trendy field of interest will be indispensable in providing new perspectives in maneuvering the flow of light in the diverse physical platforms in optics, photonics, condensed matter, optoelectronics, and beyond, and will offer distinctive application prospects in novel functional materials.
Observation of parity-time symmetry in microwave photonics
TLDR
The experimental use of PT symmetry in an optoelectronic oscillator (OEO), a key microwave photonics system that can generate single-frequency sinusoidal signals with high spectral purity, suggests that PT symmetry may find rich applications in microwavePhotonics.
Optical non-Hermitian para-Fermi oscillators
We present a proposal for the optical simulation of para-Fermi oscillators in arrays of coupled waveguides. We use a representation that arises as a deformation of the su(2) algebra. This provides us…
Spontaneous T-symmetry breaking and exceptional points in cavity quantum electrodynamics systems
Symmetries, Conserved Properties, Tensor Representations, and Irreducible Forms in Molecular Quantum Electrodynamics
TLDR
In the wide realm of applications of quantum electrodynamics, a non-covariant formulation of theory is particularly well suited to describing the interactions of light with molecular matter, and a variety of symmetry principles are drawn out with reference to applications.
Quadrics for structuring space-time wavepackets
Space-time light structuring has emerged as a very powerful tool for controlling the propagation dynamics of pulsed beam. The ability to manipulate and generate space-time distributions of light has…
Symmetric supermodes in cyclic multicore fibers
Nearest-neighbor coupled-mode theory is a powerful framework to describe electromagnetic-wave propagation in multicore fibers, but it lacks precision as the separation between cores decreases. We use…
Dynamically reconfigurable topological edge state in phase change photonic crystals
Rigorous Quantum Formulation of Parity-Time Symmetric Coupled Resonators
TLDR
The quantum formulation of the coupled coil resonators can provide better guideline to design a better PT-symmetric system.
...
1
2
3
...

References

SHOWING 1-10 OF 117 REFERENCES
Revisiting the Optical PT-Symmetric Dimer
TLDR
This work focuses on the optical PT -symmetric dimer, a two-waveguide coupler where the materials show symmetric effective gain and loss, and provides a review of the linear and nonlinear optical realizations from a symmetry-based point of view.
Observation of parity–time symmetry in optics
One of the fundamental axioms of quantum mechanics is associated with the Hermiticity of physical observables 1 . In the case of the Hamiltonian operator, this requirement not only implies real…
Parity–time synthetic photonic lattices
TLDR
The experimental observation of light transport in large-scale temporal lattices that are parity–time symmetric is reported and it is demonstrated that periodic structures respecting this symmetry can act as unidirectional invisible media when operated near their exceptional points.
Supersymmetric laser arrays
TLDR
The results not only pave the way toward devising new schemes for scaling up radiance in integrated lasers, but also could shed light on the intriguing synergy between non-Hermiticity and supersymmetry.
Light transport in PT-invariant photonic structures with hidden symmetries
We introduce a recursive bosonic quantization technique for generating classical parity-time ($\mathcal{PT}$) photonic structures that possess hidden symmetries and higher-order exceptional points.…
Observation of supersymmetric scattering in photonic lattices.
TLDR
This work experimentally investigates the scattering characteristics of SUSY photonic lattices and demonstrates that discrete settings constitute a promising testbed for studying the different facets of optical supersymmetry.
Jacobi photonic lattices and their SUSY partners.
TLDR
This work presents a classical analog of quantum optical deformed oscillators in arrays of waveguides and shows that it is possible to attack the problem via factorization by exploiting the corresponding quantum optical model, allowing an unbroken supersymmetric partner of the proposed Jacobi lattices.
SUSY-inspired one-dimensional transformation optics
TLDR
A new class of one-dimensional optical transformations that exploits the mathematical framework of supersymmetry (SUSY) is introduced that can be utilized to synthesize photonic configurations with identical reflection and transmission characteristics, down to the phase, for all incident angles, thus rendering them perfectly indistinguishable to an external observer.
Quantum optics as a tool for photonic lattice design
We present the theoretical basis needed to work in the field of photonic lattices. We start by studying the field modes inside and outside a single waveguide. Then we use perturbation theory to deal…
Exceptional points and lasing self-termination in photonic molecules
We investigate the rich physics of photonic molecule lasers using a non-Hermitian dimer model. We show that several interesting features, predicted recently using a rigorous steady-state ab initio…
...
1
2
3
4
5
...