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Cosmic structures at small non-linear scales $k>L\sim 0.2 h $ Mpc$^{-1}$ have an impact on the longer (quasi-)linear wavelengths with $k<L$ via non-linear UV-IR mode coupling. We evaluate this effect for a $\Lambda$CDM universe applying the…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-19 Kari Enqvist , Gerasimos Rigopoulos

Microresonator-based optical frequency combs have been a topic of extensive research during the last few years. Several theoretical models for the comb generation have been proposed; however, they do not comprehensively address experimental…

Optics · Physics 2015-06-16 Pascal Del'Haye , Scott B. Papp , Scott A. Diddams

We study a dispersion-compensated high-finesse optical Fabry-Perot microcavity under high-intensity cw pumping. The Kerr non-linearity in the optical coatings causes a spontaneous four-wave mixing process, which leads to the emission of…

Optics · Physics 2018-02-21 Thorsten F. Langerfeld , Hendrik M. Meyer , Michael Köhl

We derive a general theory of linear coupling and Kerr nonlinear coupling between modes of dielectric optical resonators from first principles. The treatment is not specific to a particular geometry or choice of mode basis, and can…

Optics · Physics 2022-03-14 Jonathan M. Silver , Pascal Del'Haye

Kinetic Alfv\'en Waves (KAWs) are generated in magnetized space and laboratory plasmas due to a continuous shear Alfv\'en wave (SAW) spectrum and, unlike SAWs, are characterized by microscale perpendicular structures of the order of the…

Plasma Physics · Physics 2023-04-12 Livio De Fabrizio

We investigate the effects of Raman and Kerr gain in crystalline microresonators and determine the conditions required to generate modelocked frequency combs. We show theoretically that strong, narrowband Raman gain determines a maximum…

A generalized Lugiato-Lefever equation is numerically solved with a Newton-Raphson method to model Kerr frequency combs. We obtain excellent agreement with past experiments, even for an octave-spanning comb. Simulations are much faster than…

Optics · Physics 2013-10-22 Stephane Coen , Hamish G. Randle , Thibaut Sylvestre , Miro Erkintalo

We experimentally study the factors that limit the span in frequency combs derived from the crystalline whispering gallery mode resonators. We observe that cavity dispersion is the key property that governs the parameters of the combs…

Optics · Physics 2015-06-17 Ivan S. Grudinin , Lukas Baumgartel , Nan Yu

Lasers designed to emit at multiple and controllable modes, or multi-wavelength lasers, have the potential to become key building blocks for future microwave photonic technologies. While many interesting schemes relying on optical injection…

Optics · Physics 2022-09-05 Shahab Abdollahi , Pablo Marin-Palomo , Martin Virte

For more than 20 years, optical microresonators have served as the backbone of integrated nonlinear photonics, exploiting Kerr nonlinearity to generate octave-spanning frequency combs, enable quantum effects, and drive optical parametric…

It was proposed that the $id_{x^2-y^2}$ density-wave state (DDW) may be responsible for the pseudogap behavior in the underdoped cuprates. Here we show that the admixture of a small $d_{xy}$ component to the DDW state breaks the symmetry…

Strongly Correlated Electrons · Physics 2008-06-04 Sumanta Tewari , Chuanwei Zhang , Victor M. Yakovenko , S. Das Sarma

Carrier-envelope phase stabilization of optical pulses enables exquisitely precise measurements by way of direct optical-frequency synthesis, absolute optical-to-microwave phase conversion, and control of ultrafast waveforms. We report such…

Optical frequency combs [1-8] have resulted in significant advances in optical frequency metrology and found wide application to precise physical measurements [1-4, 9] and molecular fingerprinting [8]. A direct analogue of frequency combs…

Pattern Formation and Solitons · Physics 2017-01-25 Adarsh Ganesan , Cuong Do , Ashwin A. Seshia

Laser sources power extreme data transmission as well as computing acceleration, access to ultrahigh-speed signaling, and sensing for chemicals, distance, and pattern recognition. The ever-growing scale of these applications drives…

The coupling between negative and positive index medium waveguides is investigated theoretically in this paper. A coupled mode theory is developed for such a waveguide system and its validity is verified. Interesting phenomena in the…

Optics · Physics 2009-11-13 Wei Yan , Linfang Shen , Yu Yuan , Tzong Jer Yang

It has been established for some time that high-power pump can trap a probe beam of lower intensity that is simultaneously propagating in a Kerr-type optical medium, inducing a focusing of the probe with the emergence of modes displaying…

Optics · Physics 2011-02-22 Alain M. Dikande

We study a re-configurable nonreciprocal fiber ring cavity setup to generate tunable optical frequency combs. Coherent combs can be obtained by finely exploiting bi-chromatic Brillouin lasing and cascaded four-wave mixing in the nonlinear…

Optics · Physics 2022-12-19 Erwan Lucas , Moise Deroh , Bertrand Kibler

Microresonator-based frequency combs (microcombs or Kerr-combs) can potentially miniaturize the numerous applications of conventional frequency combs. A priority is the realization of broad-band (ideally octave spanning) spectra at…

Optics · Physics 2012-12-11 Jiang Li , Hansuek Lee , Tong Chen , Kerry J. Vahala

We introduce the generalized Lugiato-Lefever equation describing nonlinear effects in the bottle microresonators. We demonstrate that the nonlinear modes of these resonators can form multiple coexisting and overlapping nonlinear resonances…

Optics · Physics 2017-07-17 I. Oreshnikov , D. V. Skryabin

It has been recently uncovered that coherent structures in microresonators such as cavity solitons and patterns are intimately related to Kerr frequency combs. In this work, we present a general analysis of the regions of existence and…

Optics · Physics 2014-05-28 P. Parra-Rivas , D. Gomila , M. A. Matias , S. Coen , L. Gelens
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