Ray Chaos and<i>Q</i>Spoiling in Lasing Droplets

Mekis, Attila; Ju, Nöckel; Chen, G; Ad, Stone; Rk, Chang

doi:10.1103/physrevlett.75.2682

Cited by 124 publications

(128 citation statements)

References 9 publications

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“…Furthermore, the sizes and shapes of individual droplets and the distances between droplets can be accurately controlled by changing the liquid flow rate and the dimensions of the microfluidic channels. This will enable more systematic studies of new phenomena such as the chaotic behaviors and the directional emissions in nonspherical droplets (Mekis et al 1995;Nockel et al 1996) and the coupling effects among many droplet cavities which are difficult, if not impossible, to study with conventional bulk droplet generators. Also, as mentioned above, this should provide an on-chip platform for biochemical sensing, single molecule studies, liquid-based nonlinear optics and quantum optics.…”

Section: Microdroplet Dye Lasersmentioning

confidence: 99%

Optofluidic dye lasers

Psaltis

2007

Microfluid Nanofluid

157

110

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Optofluidic dye lasers are microfabricated liquid dye lasers enabled by the microfluidics technology. The integration of dye lasers with microfluidics not only facilitates the implementation of complete ''lab-on-a-chip'' systems, but also allows the dynamical control of the laser properties which is not achievable with solid-state optical components. We review the recent demonstrations of onchip liquid dye lasers and some of the pre-microfluidics era microscopic dye lasers which are also amenable to microfluidic implementation. Potential applications and future directions are discussed.

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Section: Microdroplet Dye Lasersmentioning

confidence: 99%

Optofluidic dye lasers

Psaltis

2007

Microfluid Nanofluid

157

110

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“…Note that α ′ > α ≫ 1. Using the large-order asymptotic representations for Bessel functions [1] and with proper attention on exponentially small terms, it can be shown that [64] [S(k)] mm ∼ 1 + i(1 + 2n)e −2mα (46) for m ≫ nkR. As noted, these entries correspond to scattering of evanescent channels and result in eigenphases exponentially close to zero, ϕ ∼ (1 + 2n)e −2mα .…”

Section: A Zero Deformation-case Of the Rotationally Symmetric Dielementioning

confidence: 99%

Modes of wave-chaotic dielectric resonators

et al. 2005

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Dielectric optical micro-resonators and micro-lasers represent a realization of a wave-chaotic system, where the lack of symmetry in the resonator shape leads to non-integrable ray dynamics. Modes of such resonators display a rich spatial structure, and cannot be classified through mode indices which would require additional constants of motion in the ray dynamics. Understanding and controlling the emission properties of such resonators requires the investigation of the correspondence between classical phase space structures of the ray motion inside the resonator and resonant solutions of the wave equations. We first discuss the breakdown of the conventional eikonal approximation in the short wavelength limit, and motivate the use of phase-space ray tracing and phase space distributions. Next, we introduce an efficient numerical method to calculate the quasi-bound modes of dielectric resonators, which requires only two diagonalizations per N states, where N is approximately equal to the number of half-wavelengths along the perimeter. The relationship between classical phase space structures and modes is displayed via the Husimi projection technique. Observables related to the emission pattern of the resonator are calculated with high efficiency.

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“…Various shapes have been studied both experimentally and theoretically: deformed spheres [3,4,5], deformed disks [1,2,4,6,7,8,9,10,11,12], squares [13] and hexagons [14,15]. An efficient numerical strategy to compute optical properties of effectively two-dimensional dielectric cavities with more complex geometries is the subject of the present paper.…”

Section: Introductionmentioning

confidence: 99%

Boundary element method for resonances in dielectric microcavities

Wiersig

2002

J. Opt. A: Pure Appl. Opt.

271

202

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A boundary element method based on a Green's function technique is introduced to compute resonances with intermediate lifetimes in quasi-two-dimensional dielectric cavities. It can be applied to single or several optical resonators of arbitrary shape, including corners, for both TM and TE polarization. For cavities with symmetries a symmetry reduction is described. The existence of spurious solutions is discussed. The efficiency of the method is demonstrated by calculating resonances in two coupled hexagonal cavities.

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Ray Chaos andQSpoiling in Lasing Droplets

Cited by 124 publications

References 9 publications

Optofluidic dye lasers

Optofluidic dye lasers

Modes of wave-chaotic dielectric resonators

Boundary element method for resonances in dielectric microcavities

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