Naturally Phase Matched Second Harmonic Generation in a Whispering Gallery Mode Resonator

Fürst, Josef; Strekalov, Dmitry; Elser, Dominique; Lassen, Mikael; Andersen, Ulrik L.; Marquardt, Christoph; Leuchs, Gerd

doi:10.1364/cleo.2010.cwq2

Cited by 63 publications

(106 citation statements)

References 10 publications

(5 reference statements)

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“…During the frequency conversion, the energy conservation condition should be fulfilled, requiring that = 2 , where and are the pump and signal wavelengths measured in vacuum. Additionally, phase-matching condition should also be satisfied to gain efficient conversion 38 . Thanks to the relatively high mode density supported by the resonator and broad excitation spectrum, we have observed strong second harmonic signal without any tuning.…”

Section: Fabrication Of High-q Crystalline Microresonatorsmentioning

confidence: 99%

Femtosecond laser direct writing of high-Q microresonators in glass and crystals

Lin

Song

et al. 2015

SPIE Proceedings

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We report on fabrication of microresonators of high quality (high-Q) factors in both glass and crystalline materials by femtosecond laser 3D micromachining. Based on this novel approach, we obtained high-Q microresonators of non-inplane geometries in glass materials such as fused silica and Nd: glass and demonstrated lasing at a pump power as low as 69 microwatts. We also fabricated on-chip microresonators of sub-100 μm diameters in crystalline materials including calcium fluoride and lithium niobate, and demonstrated efficient second harmonic generation using the high-Q lithium niobate microresonator. Furthermore, femtosecond laser 3D micromachining allows direct integration of the microresonators with other functional microcomponents, such as a microfluidic mixer and a microheater, leading to compact microdevices with enhanced functionalities. Our technique opens new avenues for fabricating high-Q microresonators with either 2D or 3D geometries on various types of dielectric materials.

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Section: Fabrication Of High-q Crystalline Microresonatorsmentioning

confidence: 99%

Femtosecond laser direct writing of high-Q microresonators in glass and crystals

Lin

Song

et al. 2015

SPIE Proceedings

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“…To analyze the coupling coefficient, the overlap integration of different WGMs should be considered first, especially the angle part of the integration. In the phase-matching cases, which means the three interaction photons obey the angular momentum conservation law [13]: -0. m n p Δ = + = (7) Without QPM, the nonlinear coefficient χ (2) would be a constant in the whole ring. The angle part of integration in Eq.…”

Section: Model and Theorymentioning

confidence: 99%

Quasi-phase matched optical frequency comb generation through cascaded second order nonlinearity in a micro-ring resonator

Ming

et al. 2012

Quantum and Nonlinear Optics II

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We propose optical frequency comb generation in a monolithic micro-ring resonator. Being different from the previously reported nonlinear optical frequency combs, our scheme is based on more efficient quadratic frequency conversion rather than the third-order nonlinearity. To overcome the phase mismatch, a partly poled nonlinear ring is employed. Cascading second harmonic generation and parametric down conversion processes thus are realized through quasi-phase matching (QPM). Coupling equations are used to describe the related nonlinear interactions among different whispering-gallery modes, showing some interesting characteristics that are different from conventional QPM technology.

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“…This interest is caused by expectation of significant enhancement of nonlinear effects due to small volume and high quality (Q) factors of the modes of these structures. One of manifestations of this enhancement is lowering of the threshold for many nonlinear effects, and indeed, a variety of nonlinear phenomena such as ultra-low threshold Raman lasing, 4 parametrical optical oscillations, 5 optical comb generation, 8,9 second harmonic generation, 10 up-conversion of microwave into the optical range 11 have been observed at very low incident powers.…”

Section: Introductionmentioning

confidence: 99%

Ab initio theory of nonlinear effects in individual and coupled microdisk resonators

Deych

2012

SPIE Proceedings

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Ab initio approach to description of nonlinear dynamics of individual and coupled microdisk whispering-gallerymode resonators is developed for the nonlinearities of Kerr type. Distinction between scattering resonances and eigenfrequencies, which is important for resonators with moderate quality factors is discussed. Properties of various parameters important for nonlinear dynamics, such as coupling to external radiation, linear inter-disk coupling parameter, nonlinear mode overlap coefficients are discussed from the point of view of the ab initio formulation.

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Naturally Phase Matched Second Harmonic Generation in a Whispering Gallery Mode Resonator

Cited by 63 publications

References 10 publications

Femtosecond laser direct writing of high-Q microresonators in glass and crystals

Femtosecond laser direct writing of high-Q microresonators in glass and crystals

Quasi-phase matched optical frequency comb generation through cascaded second order nonlinearity in a micro-ring resonator

Ab initio theory of nonlinear effects in individual and coupled microdisk resonators

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