Nonlinear Coupling Effects of Waves in A Panda Ring

Abstract

All forms of waves in circular motions in circular ring resonator have shown the interesting behaviors, especially, in the nonlinear wave tracks, where the waves such as gravitation wave, sound wave, electromagnetic wave, matter wave and water wave can produce the whispering gallery modes (WGMs) with some certain conditions. This paper presents the use of a circular resonator (ring resonator) which is coupled by two nonlinear side rings known as a PANDA ring, in which the input waves can be in the forms of soliton, Gaussian pulses, photon or matter wave and introduced into the system. The WGMs can be generated due to the coupling effects of the two nonlinear side rings with the center ring and tunneling effects, which have shown many interesting results and aspects. Some expected outputs can be in the forms of surface plasmons, potential wells, leaky modes of waves, whispering gallery modes, matter waves (photons or particles). The use of WGMs for water wave and Rabi oscillation of photons (particles) in a PANDA ring are also discussed.