title: Light induced Josephson like current between two coupled nonlinear cavities coupled with a symmetrically positioned photonic crystal waveguide.
abstract: We consider light transmission in a photonic crystal waveguide coupled with two identical nonlinear cavities positioned symmetrically beside the waveguide and coupled with each other. Using Green function theory we show three scenarios for the transmission. The first one inherits the linear case in which the light transmission preserves the symmetry. In the second scenario the symmetry is broken by the light intensities at the cavities. In the third scenario the intensities are equal but the phases of the complex amplitudes are different at the cavities. This results in a Josephson like current between the cavities. The model consideration agrees well with computations of the Poynting current in a photonic crystal waveguide coupled with two optical cavities filled with a Kerr material.
authors.affiliation: Kirensky Institute of Physics, 660036 Krasnoyarsk, Russia.
authors.forename: Evgeny
authors.initials: E
authors.lastname: Bulgakov
authors.forename: Konstantin
authors.initials: K
authors.lastname: Pichugin
authors.forename: Almas
authors.initials: A
authors.lastname: Sadreev