Highly Tunable Low-Threshold Optical Parametric Oscillation in Radially Poled Whispering Gallery Resonators

Beckmann, Tobias; Linnenbank, Heiko; Steigerwald, H.; Sturman, B.; Haertle, D.; Buse, K.; Breunig, Ingo

doi:10.1103/physrevlett.106.143903

Cited by 145 publications

(95 citation statements)

References 26 publications

(33 reference statements)

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…In recent years, there has been increasing interest in optical parametric processes in high-Q micro-/nano-cavities, which exhibit great potential for dramatically enhancing parametric generation [6][7][8][9][10][11][12][13][14][15][16][17][18][19] . However, their efficiencies rely crucially on frequency matching among the interacting cavity modes, which is generally deteriorated by device dispersion.…”

mentioning

confidence: 99%

Selective engineering of cavity resonance for frequency matching in optical parametric processes

Rogers

Jiang

et al. 2014

Applied Physics Letters

View full text Add to dashboard Cite

We propose to selectively engineer a single cavity resonance to achieve frequency matching for optical parametric processes in high-Q microresonators. For this purpose, we demonstrate an approach, selective mode splitting (SMS), to precisely shift a targeted cavity resonance, while leaving other cavity modes intact. We apply SMS to achieve efficient parametric generation via four-wave mixing in high-Q silicon microresonators. The proposed approach is of great potential for broad applications in integrated nonlinear photonics.Optical parametric processes, including four-wave mixing (FWM), second-/third-harmonic generation (SHG/THG), parametric down-conversion (PDC), etc., have broad applications ranging from photonic signal processing 1,2 , tunable coherent radiation 3 , frequency metrology 4 , to quantum information processing 5 . In recent years, there has been increasing interest in optical parametric processes in high-Q micro-/nano-cavities, which exhibit great potential for dramatically enhancing parametric generation [6][7][8][9][10][11][12][13][14][15][16][17][18][19] . However, their efficiencies rely crucially on frequency matching among the interacting cavity modes, which is generally deteriorated by device dispersion. Frequency matching is particularly challenging in high-Q cavities, due to the narrow linewidths of cavity resonances.To date, a variety of methods have been proposed for frequency matching. For FWM, a χ (3) nonlinear process, current methods primarily focus on engineering groupvelocity dispersion of the devices 7,8,10,13,14,20 . For SHG, a χ (2) nonlinear process, intermodal dispersion or birefringence is generally employed to mitigate the frequency mismatch 11,12,[15][16][17][18][19] . These methods rely on manipulating material/waveguide dispersion of devices, which collectively shifts the resonance frequencies of all cavity modes by different extents.In this paper, we propose and demonstrate an effective approach for frequency matching that can be applied universally to optical parametric processes. Instead of modifying all cavity resonances via dispersion engineering, we directly shift a single cavity resonance to a desired frequency, while leaving other cavity modes intact. This is realized by splitting the targeted cavity mode at ω m into two modes at new frequencies ω m ± β m . By controlling the magnitude of splitting, one resonance can be shifted to coincide with the desired frequency ( Fig. 1(a)). We term this approach selective mode splitting (SMS).SMS can be applied to various χ (2) /χ (3) processes ( Fig. 1(b-d)). For example, degenerate FWM requires three interacting cavity modes to be equally spaced in a) Electronic mail: qiang.lin@rochester.edu. frequency, ω signal −ω pump = ω pump −ω idler , which is often not satisfied due to device dispersion. The problem can be solved by shifting one cavity mode to the desired frequency, thus enabling parametric generation ( Fig. 1(b)). SMS is particularly useful for nonlinear processes including SHG/THG and PDC ( Fig. 1(c)(d)), where ...

show abstract

mentioning

confidence: 99%

Selective engineering of cavity resonance for frequency matching in optical parametric processes

Rogers

Jiang

et al. 2014

Applied Physics Letters

View full text Add to dashboard Cite

show abstract

“…9 Phase matching in the WGM resonator has been achieved through natural geometric dispersion and quasi-phase-matching. 7,[10][11][12] Experiments in uniaxial crystalline WGM resonators were performed exclusively in a z-cut geometry, where the optic axis and the resonator symmetry axis coincided. So the optic axis was not included in the plane of propagation, and the broad birefringence phase matching was not possible.…”

mentioning

confidence: 99%

“…This geometry was used in sub-and second harmonic generation. 7,[10][11][12][16][17][18][19][20][21] A more interesting but complex situation arises when the WGM resonator axis lies in the (xy) crystallographic plane (thus the xy-cut geometry), as illustrated in Fig. 1(a).…”

mentioning

confidence: 99%

Wide-range cyclic phase matching and second harmonic generation in whispering gallery resonators

Lin

Fürst

Strekalov

et al. 2013

Applied Physics Letters

View full text Add to dashboard Cite

We report on a wide-range efficient method for optical second harmonic generation based on a whispering gallery mode resonator made from crystalline beta barium borate. In this single resonator, we were able to generate second harmonic fields for four different pump wavelengths ranging from the infrared (1557 nm) to the visible (634 nm) regime. The highest conversion efficiencies achieved in this whispering gallery mode resonator are as high as 4.6% (mW)−1. This conversion process is based on type-I phase matching with continuously varying optical axis orientation in an xy-cut configuration of the resonator. In such a geometry, the second harmonic whispering gallery mode experiences an oscillatory modulation of the refractive index. This enables wide-range cyclic phase matching along the circumference of the disk resonator.

show abstract

“…One of the mirrors of the signal cavity is not fixed and can act then as a mechanical oscillator forced by the radiation pressure exerted from the light contained in the cavity. OPOs based on dual semi-monolithic cavities [81] can implement this exact setup, but other platforms such as crystalline whispering gallery mode resonators [66][67][68][69][70][71][72][73][74][75][76][77][78] or superconducting circuits [27,44,59,79,80] are already at a point where the model analyzed in our work can be studied experimentally.…”

Section: Introductionmentioning

confidence: 99%

Classical and quantum-linearized descriptions of degenerate optomechanical parametric oscillators

et al. 2016

View full text Add to dashboard Cite

Recent advances in the development of modern quantum technologies have opened the possibility of studying the interplay between spontaneous parametric down-conversion and optomechanics, two of the most fundamental nonlinear optical processes. Apart from practical reasons, such scenario is very interesting from a fundamental point of view, because it allows exploring the optomechanical interaction in the presence of a strongly quantum-correlated field, the spontaneously down-converted mode. In this work we analyze such problem from two approximate but valuable perspectives: the classical limit and the limit of small quantum fluctuations. We show that, in the presence of optomechanical coupling, the well-known classical phase diagram of the optical problem gets modified by the appearance of new dynamical instabilities. As for the quantum-mechanical description, we prove the ability of the squeezed down-converted field to cool down the mechanical motion not only to thermal but also to squeezed thermal mechanical states, and in a way that can be much less sensitive to parameters (e.g., detuning of the driving laser) than standard sideband cooling.

show abstract

Highly Tunable Low-Threshold Optical Parametric Oscillation in Radially Poled Whispering Gallery Resonators

Cited by 145 publications

References 26 publications

Selective engineering of cavity resonance for frequency matching in optical parametric processes

Selective engineering of cavity resonance for frequency matching in optical parametric processes

Wide-range cyclic phase matching and second harmonic generation in whispering gallery resonators

Classical and quantum-linearized descriptions of degenerate optomechanical parametric oscillators

Contact Info

Product

Resources

About