Kwang and Yariv(1) used a single domain BaTiO3 crystal to form a ring passive phase conjugator (RPPC) and auxiliary resonators pumped by a multi-mode Ar+ laser at 4880Å. The auxiliary resonators were bistable. Jagannath et. Al(2) from this laboratory, reported the operation of a unidirectional ring resonator (UDRR) in addition to the RPPC and found bistability between the two. They also observed a linear passive phase conjugator (LPPC) which is bistable with the RPPC. It was found that auxiliary oxci nations between the crystal and a mirror are bistable separately with the UDRR and the LPPC.Kwang and Yariv(1) used a single domain BaTiO3 crystal to form a ring passive phase conjugator (RPPC) and auxiliary resonators pumped by a multi-mode Ar+ laser at 4880Å. The auxiliary resonators were bistable. Jagannath et. Al(2) from this laboratory, reported the operation of a unidirectional ring resonator (UDRR) in addition to the RPPC and found bistability between the two. They also observed a linear passive phase conjugator (LPPC) which is bistable with the RPPC. It was found that auxiliary oxci nations between the crystal and a mirror are bistable separately with the UDRR and the LPPC.

Photorefractive Effects, Materials, and DevicesJan 1, 19900 citations

MODES OF RESONATORS WITH MODULATED REFLECTIVITY MIRRORS

S. De Silvestri, P. Laporta, Vittorio C. Magni +1 more

Jul 18, 19880 citations

High frequency asymptote of ring resonator modes

Dmitry V. Skryabin, A. M. Radin

Optics and SpectroscopyDec 1, 19910 citations

Increased atom-cavity coupling and stability using a parabolic ring cavity

Kevin C. Cox, David H Meyer, Nathan Schine +2 more

Abstract Optical cavities are one of the best ways to increase atom-light coupling and will be a key ingredient for future quantum technologies that rely on light–matter interfaces. We demonstrate that traveling-wave ‘ring’ cavities can achieve small mode waists w (i.e. large atom-cavity coupling) while maintaining stability to fluctuations and large mirror separation. Additionally, our ring cavity design can achieve arbitrary transverse-mode spacing simultaneously with the large mode-waist reductions. Following these principles, we build a parabolic atom-ring cavity system that achieves strong collective coupling NC = 15(1) between N = 10 3 Rb atoms and a ring cavity with a single-atom cooperativity C that is significantly larger than what could be achieved with a near-confocal two-mirror cavity with the same mirror separation and finesse. By using parabolic mirrors, we eliminate astigmatism–which can otherwise preclude stable operation–and increase optical access to the atoms. Cavities based on these principles, with enhanced coupling and large mirror separation, will be particularly useful for achieving strong coupling with ions, Rydberg atoms, or other strongly interacting particles, which often have undesirable interactions with nearby surfaces.Abstract Optical cavities are one of the best ways to increase atom-light coupling and will be a key ingredient for future quantum technologies that rely on light–matter interfaces. We demonstrate that traveling-wave ‘ring’ cavities can achieve small mode waists w (i.e. large atom-cavity coupling) while maintaining stability to fluctuations and large mirror separation. Additionally, our ring cavity design can achieve arbitrary transverse-mode spacing simultaneously with the large mode-waist reductions. Following these principles, we build a parabolic atom-ring cavity system that achieves strong collective coupling NC = 15(1) between N = 10 3 Rb atoms and a ring cavity with a single-atom cooperativity C that is significantly larger than what could be achieved with a near-confocal two-mirror cavity with the same mirror separation and finesse. By using parabolic mirrors, we eliminate astigmatism–which can otherwise preclude stable operation–and increase optical access to the atoms. Cavities based on these principles, with enhanced coupling and large mirror separation, will be particularly useful for achieving strong coupling with ions, Rydberg atoms, or other strongly interacting particles, which often have undesirable interactions with nearby surfaces.

arXiv:1802.05707Journal of Physics B Atomic Molecular and Optical PhysicsAug 30, 201812 citations

Parametric instability of oscillations of a vortex ring in a z-periodic Bose condensate and return to the initial state

V. P. Ruban

The dynamics of deformations of a quantum vortex ring in a Bose condensate with the periodic equilibrium density ρ(z) = 1 − ϵ cos z has been considered in the local induction approximation. Parametric instabilities of normal modes with the azimuthal numbers ±m at the energy integral E near the values $E_m^{\left( p \right)} = 2m\sqrt {{m^2} - 1} /p$ , where p is the order of resonance, have been revealed. Numerical experiments have shown that the amplitude of unstable modes with m = 2 and p = 1 can sharply increase already at ϵ ~ 0.03 to values about unity. Then, after several fast oscillations, fast return to a weakly perturbed state occurs. Such a behavior corresponds to the integrable Hamiltonian H ∝ σ(E 2 (1) − E)(|b +|2 + |b -|2)-ϵ(b + b - + b +*b -*)+u(|b +|4 + |b -|4)+w|b +|2|b -|2 for two complex envelopes b ±(t). The results have been compared to parametric instabilities of the vortex ring in the condensate with the density ρ(z, r) = 1 − r 2 − αz 2, which occur at α ≈ 8/5 and 16/7.The dynamics of deformations of a quantum vortex ring in a Bose condensate with the periodic equilibrium density ρ(z) = 1 − ϵ cos z has been considered in the local induction approximation. Parametric instabilities of normal modes with the azimuthal numbers ±m at the energy integral E near the values $$E_m^{\left( p \right)} = 2m\sqrt {{m^2} - 1} /p$$ , where p is the order of resonance, have been revealed. Numerical experiments have shown that the amplitude of unstable modes with m = 2 and p = 1 can sharply increase already at ϵ ~ 0.03 to values about unity. Then, after several fast oscillations, fast return to a weakly perturbed state occurs. Such a behavior corresponds to the integrable Hamiltonian H ∝ σ(E 2 (1) − E)(|b +|2 + |b -|2)-ϵ(b + b - + b +*b -*)+u(|b +|4 + |b -|4)+w|b +|2|b -|2 for two complex envelopes b ±(t). The results have been compared to parametric instabilities of the vortex ring in the condensate with the density ρ(z, r) = 1 − r 2 − αz 2, which occur at α ≈ 8/5 and 16/7.

arXiv:1706.04348Journal of Experimental and Theoretical Physics LettersAug 1, 20178 citations

Back scattering in a ring cavity resonator

I. A. Andronova

Radiophysics and Quantum ElectronicsMay 1, 19740 citations

E_m^{\left( p \right)} = 2m\sqrt {{m^2} - 1} /p

, where p is the order of resonance, have been revealed. Numerical experiments have shown that the amplitude of unstable modes with m = 2 and p = 1 can sharply increase already at ϵ ~ 0.03 to values about unity. Then, after several fast oscillations, fast return to a weakly perturbed state occurs. Such a behavior corresponds to the integrable Hamiltonian H ∝ σ(E 2 (1) − E)(|b +|2 + |b -|2)-ϵ(b + b - + b +*b -*)+u(|b +|4 + |b -|4)+w|b +|2|b -|2 for two complex envelopes b ±(t). The results have been compared to parametric instabilities of the vortex ring in the condensate with the density ρ(z, r) = 1 − r 2 − αz 2, which occur at α ≈ 8/5 and 16/7.