An introduction to arrays of coupled waveguides

Abstract

We present the theoretical basis needed to work in the field of photonic lattices. We start by studying the field modes in- and out-side a single waveguide. Then, we use perturbation theory to deal with an array of coupled waveguides and construct mode-coupling theory. Finally, we realize a survey of optical analogues to quantum systems accompanied by an extensive bibliography.

References in corpus (18)

• Realization of quantum walks with negligible decoherence in waveguide lattices
• Coherent Quantum Transport in Photonic Lattices
• Quantum Correlations in Two-Particle Anderson Localization
• Non-exponential decay via tunneling in tight-binding lattices and the optical Zeno effect
• Transport and Quantum Walk of Nonclassical Light in Coupled Waveguides
• Effective magnetic fields for photons in waveguide and coupled resonator lattices
• Optical Zener-Bloch oscillations in binary waveguide arrays
• Interlaced linear-nonlinear optical waveguide arrays
• Jacobi photonic lattices and their SUSY partners
• The "Majoranon" and how to realize it in a tabletop experiment
• Optical simulation of Majorana physics
• Tunable waveguide lattices with non-uniform parity-symmetric tunneling
• Propagation and perfect transmission in three-waveguide axially varying couplers
• Phase transition to spatial Bloch-like oscillation in squeezed photonic lattices
• Tunable Hybridization at Mid Zone and Anomalous Bloch-Zener Oscillations in Optical Waveguide Ladders
• A photonic crystal realization of a phase driven two-level atom
• Photon transport in binary photonic lattices
• Photonic Bloch-dipole-Zener Oscillations in Binary Parabolic Optical Waveguide Arrays

Cited by in corpus (8)

• Non-abelian Thouless pumping in a photonic lattice
• Symmetry in optics and photonics: a group theory approach
• Gilmore-Perelomov symmetry based approach to photonic lattices
• Optical finite representation of the Lorentz group
• Coherent Transport in Photonic Lattices: A Survey of Recent Analytic Results
• All-optical $\mathcal{P}\mathcal{T}$-symmetric amplitude to phase modulator
• Optical non-Hermitian para-Fermi oscillators
• Optical trimer: A theoretical physics approach to waveguide couplers