Purcell effect in nonlinear photonic structures: a coupled mode theory analysis

Hamam, Rafif E.; Ibanescu, Mihai; Reed, Evan J.; Bermel, Peter; Johnson, Steven G.; Ippen, Erich P.; Joannopoulos, John D.; Soljačić, Marin

doi:10.1364/oe.16.012523

Cited by 23 publications

(20 citation statements)

References 30 publications

(45 reference statements)

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“…Coupled-mode theory (CMT) [33,43] has been extensively used to study a broad range of different problems in photonics, both in the linear and nonlinear regimes [50][51][52][53][54][55][56]. Here, for the first time to our knowledge, we extend that class of analysis to the case of micro-photonic structures that include active media.…”

Section: Coupled-mode Theory Formalism Applied To Lasing Mediamentioning

confidence: 99%

Low-threshold lasing action in photonic crystal slabs enabled by Fano resonances

Chua¹,

Chong²,

Stone³

et al. 2011

Opt. Express

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103

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We present a theoretical analysis of lasing action in photonic crystal surface-emitting lasers (PCSELs). The semiclassical laser equations for such structures are simulated with three different theoretical techniques: exact finite-difference time-domain calculations, an steady-state ab-initio laser theory and a semi-analytical coupled-mode formalism. Our simulations show that, for an exemplary four-level gain model, the excitation of dark Fano resonances featuring arbitrarily large quality factors can lead to a significant reduction of the lasing threshold of PCSELs with respect to conventional vertical-cavity surface-emitting lasers. Our calculations also suggest that at the onset of lasing action, most of the laser power generated by finite-size PCSELs is emitted in the photonic crystal plane rather than the vertical direction. In addition to their fundamental interest, these findings may affect further engineering of active devices based on photonic crystal slabs.

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Section: Coupled-mode Theory Formalism Applied To Lasing Mediamentioning

confidence: 99%

Low-threshold lasing action in photonic crystal slabs enabled by Fano resonances

Chua¹,

Chong²,

Stone³

et al. 2011

Opt. Express

Self Cite

103

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“…Currently, the control of spontaneous emission based on the Purcell effect is a key element for many applications, including single-photon sources [24], integrated quantum optics [25,26], nanolasers [1,27] active metamaterials [28], biosensors based on enhanced fluorescence [29], ultrafast modulators of lightemitting diodes [30], and nonlinear photonic structures [31].…”

Section: Introductionmentioning

confidence: 99%

Control of the emission of elementary quantum systems using metamaterials and nanometaparticles

Климов¹

2021

Phys.-Usp.

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The most important direction in the development of fundamental and applied physics is the study of the properties of optical systems at nanoscales for creating optical and quantum computers, biosensors, single-photon sources for quantum informatics, DNA sequencing devices, detectors of various fields, etc. In all these cases, nanosize light sources such as dye molecules, quantum dots (epitaxial or colloidal), color centers in crystals, and nanocontacts in metals are of utmost importance. In the nanoenvironment, the characteristics of these elementary quantum systems—pumping rates, radiative and nonradiative decay rates, the local density of states, lifetimes, level shifts—experience changes, which can be used to create nanosize light sources with the desired properties. Modern theoretical and experimental works on controlling the emission of elementary quantum systems with the help of plasmonic and dielectric nanostructures, metamaterials, and metamaterial nanoparticles are analyzed.

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“…Recent developments in nanofabrication are enabling fabrication of nanophotonic structures, e.g., waveguides and cavities that confine light over long times and small volumes [17][18][19][20][21], minimizing the power requirements of nonlinear devices [22,23] and paving the way for novel on-chip applications based on all-optical nonlinear effects [18,[24][25][26][27][28][29][30][31][32][33]. In addition to greatly enhancing light-matter interactions, the use of cavities can also lead to qualitatively rich dynamical phenomena, including multistability and limit cycles [34][35][36][37][38][39][40].…”

Section: Introductionmentioning

confidence: 99%

High-efficiency degenerate four-wave mixing in triply resonant nanobeam cavities

et al. 2014

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Using a combination of temporal coupled-mode theory and nonlinear finite-difference time-domain (FDTD) simulations, we study the nonlinear dynamics of all-resonant four-wave mixing processes and demonstrate the possibility of achieving high-efficiency limit cycles and steady states that lead to ≈100% depletion of the incident light at low input (critical) powers. Our analysis extends previous predictions to capture important effects associated with losses, self-and cross-phase modulation, and imperfect frequency matching (detuning) of the cavity frequencies. We find that maximum steady-state conversion is hypersensitive to frequency mismatch, resulting in high-efficiency limit cycles that arise from the presence of a homoclinic bifurcation in the solution phase space, but that a judicious choice of incident frequencies and input powers, in conjuction with self-phase and cross-phase modulation, can restore high-efficiency steady-state conversion even for large frequency mismatch. Assuming operation in the telecom range, we predict close to perfect quantum efficiencies at reasonably low ∼50 mW input powers in silicon micrometer-scale PhC nanobeam cavities.

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Purcell effect in nonlinear photonic structures: a coupled mode theory analysis

Cited by 23 publications

References 30 publications

Low-threshold lasing action in photonic crystal slabs enabled by Fano resonances

Low-threshold lasing action in photonic crystal slabs enabled by Fano resonances

Control of the emission of elementary quantum systems using metamaterials and nanometaparticles

High-efficiency degenerate four-wave mixing in triply resonant nanobeam cavities

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