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An introduction to arrays of coupled waveguides
B. M. Rodríguez-Lara, Francisco Soto-Eguibar, Demetrios N. Christodoulides
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 perturbati…
A squeeze-like operator approach to position-dependent mass in quantum mechanics
Héctor M. Moya-Cessa, Francisco Soto-Eguibar, Demetrios N. Christodoulides
We provide a squeeze-like transformation that allows one to remove a position dependent mass from the Hamiltonian. Methods to solve the Schrödinger equation may then be applied to…
Continuous and discrete Schrodinger systems with PT-symmetric nonlinearities
Amarendra K. Sarma, Mohammad-Ali Miri, Ziad H. Musslimani +1
We investigate the dynamical behavior of continuous and discrete Schrodinger systems exhibiting parity-time (PT) invariant nonlinearities. We show that such equations behave in a f…
Propagation and perfect transmission in three-waveguide axially varying couplers
B. M. Rodríguez-Lara, H. M. Moya-Cessa, D. N. Christodoulides
We study a class of three-waveguide axially varying structures whose dynamics are described by the su(3) algebra. Their analytic propagator can be found based on the corresponding…
Relation between the autocorrelation and Wigner functions
Héctor Manuel Moya-Cessa, Demetrios N. Christodoulides
We show a simple mechanism to measure the Wigner function of a harmonic oscillator. For this system we also show that autocorrelation and Wigner functions are equivalent.
Engineered optical nonlinearities and enhanced light transmission in soft-matter systems with tunable polarizabilities
Weining Man, Shima Fardad, Ze Zhang +6
In this work, we demonstrate that the nonlinear response of certain soft-matter systems can be tailored at will by appropriately engineering their optical polarizability. In partic…