Transparency at the interface between two isospectral crystals

Abstract

Reflection at an interface separating two different media is a rather universal phenomenon which arises because of wave mismatching at the interface. By means of supersymmetric quantum mechanics methods, it is shown that a fully transparent interface can be realized, connecting two isospectral but different one-dimensional crystals. An example of reflectionless interface is presented for the sinusoidal (Mathieu) crystal connected to a non-sinusoidal potential by a transparent domain wall.

4 figures, to appear in EPL

References in corpus (8)

• Chiral tunneling and the Klein paradox in graphene
• Andreev reflection and Klein tunneling in graphene
• Quantum interference and Klein tunneling in graphene heterojunctions
• Evidence of Klein tunneling in graphene p-n junctions
• Specular Andreev reflection in graphene
• Optical Tamm states in one-dimensional magnetophotonic structures
• Nonlinear Bloch-wave interaction and Bragg scattering in optically-induced lattices
• Reflectionless Transport of Surface Dirac Fermions on Topological Insulators with Induced Ferromagnetic Domain Walls

Cited by in corpus (14)

• $PT$-symmetric invisible defects and confluent Darboux-Crum transformations
• Observation of supersymmetric scattering in photonic lattices
• Supersymmetry generated one-way invisible PT-symmetric optical crystals
• Supersymmetric transparent optical intersections
• Jacobi photonic lattices and their SUSY partners
• An intensity-dependent quantum Rabi model: Spectrum, SUSY partner and optical simulation
• Photonic systems with two-dimensional landscapes of complex refractive index via time-dependent supersymmetry
• Supersymmetric Bragg gratings
• An introduction to arrays of coupled waveguides
• Supersymmetric correspondence in spectra on a graph and its line graph: From circuit theory to spoof plasmons on metallic lattices
• Parity anomaly laser
• Supersymmetry, half-bound states, and grazing incidence reflection
• On the paradoxical evolution of the number of photons in a new model of interpolating Hamiltonians
• Linear and nonlinear dynamics of isospectral granular chains