Supersymmetry generated one-way invisible PT-symmetric optical crystals

Abstract

We use supersymmetry transformations to design transparent and one-way reflectionless (thus unidirectionally invisible) complex crystals with balanced gain and loss profiles. The scattering coefficients are investigated using the transfer matrix approach. It is shown that the amount of reflection from the left can be made arbitrarily close to zero whereas the reflection from the right is enhanced arbitrarily (or vice versa).

Final version

References in corpus (6)

• Achieving transparency with plasmonic coatings
• PT-symmetry breaking and laser-absorber modes in optical scattering systems
• Cloaking of Matter Waves
• Invisibility and PT-symmetry
• A note on the PT-invariant periodic potential V(x)=4 cos^2 x + 4 i V_0 sin 2x
• Jacobi photonic lattices and their SUSY partners

Cited by in corpus (27)

• Theory of reflectionless scattering modes
• $PT$-symmetric invisible defects and confluent Darboux-Crum transformations
• Observation of supersymmetric scattering in photonic lattices
• On Symmetries and Exact Solutions of a Class of Non-local Non-linear Schrodinger Equations with Self-induced PT-symmetric Potential
• New supersymmetry-generated complex potentials with real spectra
• Unidirectional reflectionlessness and invisibility in the TE and TM modes of a PT-symmetric slab system
• Trends in supersymmetric quantum mechanics
• Generalized Unitarity and Reciprocity Relations for PT-symmetric Scattering Potentials
• PT Meets Supersymmetry and Nonlinearity: An Analytically Tractable Case Example
• Photonic systems with two-dimensional landscapes of complex refractive index via time-dependent supersymmetry
• Confluent Crum-Darboux transformations in Dirac Hamiltonians with $PT$-symmetric Bragg gratings
• Supercharge optical arrays
• Unidirectional Invisibility and PT-Symmetry with Graphene
• Supersymmetric Bragg gratings
• Talbot self-imaging in $\mathcal{P}\mathcal{T}$-symmetric complex crystals
• A unidirectional invisible PT-symmetric complex crystal with arbitrary thickness
• Supersymmetric model of a Bose-Einstein condensate in a $\mathcal{P}\mathcal{T}$-symmetric double-delta trap
• Quantum decay and amplification in a non-Hermitian unstable continuum
• Supersymmetric correspondence in spectra on a graph and its line graph: From circuit theory to spoof plasmons on metallic lattices
• Broadband and Wide-Angle Invisibility with PT-Symmetric 2D-Weyl Semimetal
• A Novel SUSY Energy Bound States Treatment of the Klein-Gordon Equation with PT-Supersymmetric and q-Deformed Hulthen Potential
• Stability of new exact solutions of the nonlinear Schrodinger equation in a Poschl-Teller external potential
• Stability and response of trapped solitary wave solutions of coupled nonlinear Schrödinger equations in an external, $\mathcal{P}\mathcal{T}$- and supersymmetric potential
• Stability of exact solutions of the nonlinear Schroedinger equation in an external potential having supersymmetry and parity-time symmetry
• Response of exact solutions of the nonlinear Schrodinger equation to small perturbations in a class of complex external potentials having supersymmetry and parity-time symmetry
• Electromagnetic Eigenvalue Problems and Nonhermitian Effects in Linear and Saturable Scattering
• An update on coherent scattering from complex non-PT-symmetric Scarf II potential with new analytic forms