TY - GEN
T1 - Spontaneous Symmetry Breaking, Oscillations, and Chaotic Regimes in Bidirectionally-Pumped Ring Resonators
AU - Woodley, Michael T. M.
AU - Silver, Jonathan M.
AU - Hill, Lewis
AU - Copie, François
AU - Bino, Leonardo Del
AU - Zhang, Shuangyou
AU - Oppo, Gian-Luca
AU - Del'Haye, Pascal
PY - 2019/6/27
Y1 - 2019/6/27
N2 - Spontaneous symmetry breaking has been recently demonstrated experimentally in bidirectionally-pumped dielectric microresonators [1,2]. This process is mediated by cross-phase modulation due to the Kerr nonlinearity. We present comprehensive analytical and dynamical models for this symmetry breaking, with novel results in both time-dependent and time-independent cases, including chaos. The time-dependent system is described by the following pair of dimensionless coupled equations: · e1,2 = e1,2 - [1+i(|e1,2 |2+ 2 |e2,1 |2 - Δ)]e1,2, where in e1,2 are the (clockwise or counterclockwise) electric field amplitudes sent to the cavity, e1,2 are the (clockwise or counterclockwise) electric field amplitudes coupled into the cavity, and Δ is the normalised detuning of the laser with respect to the non-Kerr-shifted cavity resonant frequency.
AB - Spontaneous symmetry breaking has been recently demonstrated experimentally in bidirectionally-pumped dielectric microresonators [1,2]. This process is mediated by cross-phase modulation due to the Kerr nonlinearity. We present comprehensive analytical and dynamical models for this symmetry breaking, with novel results in both time-dependent and time-independent cases, including chaos. The time-dependent system is described by the following pair of dimensionless coupled equations: · e1,2 = e1,2 - [1+i(|e1,2 |2+ 2 |e2,1 |2 - Δ)]e1,2, where in e1,2 are the (clockwise or counterclockwise) electric field amplitudes sent to the cavity, e1,2 are the (clockwise or counterclockwise) electric field amplitudes coupled into the cavity, and Δ is the normalised detuning of the laser with respect to the non-Kerr-shifted cavity resonant frequency.
UR - http://dx.doi.org/10.1109/cleoe-eqec.2019.8872598
UR - https://www.scopus.com/pages/publications/85074645864
U2 - 10.1109/cleoe-eqec.2019.8872598
DO - 10.1109/cleoe-eqec.2019.8872598
M3 - Chapter in a published conference proceeding
BT - 2019 Conference on Lasers and Electro-Optics Europe & European Quantum Electronics Conference (CLEO/Europe-EQEC)
PB - IEEE Xplore
CY - U. S. A.
ER -