Fiber Interferometers

Agrawal, Govind P.

doi:10.1016/b978-012045144-9/50003-5

Cited by 117 publications

(220 citation statements)

References 143 publications

Supporting

Mentioning

217

Contrasting

Order By: Relevance

“…As before one can save the computation of the exp(− h k 2 D) term involved in the expression of α 4 and α 5 since a cancellation happens with the exp( h k 2 D) term in the expression of v [3] k+1 and v [4] k+1 . Moreover we recall that although the ERK4(3) method appears as a 5 stages method, its effective cost is very similar to the one of a 4 stages method since the computation of the first coefficient α 1 at step k+1 shares the evaluation of the non-linear operator N in common with the coefficient α 5 computed at step k. Namely, the computational procedure (20) can be recast as…”

Section: Computational Cost Of the Rk4(3) Methodsmentioning

confidence: 99%

“…The computational sequence (20) for one step of the ERK4(3) scheme defined in (22) can be improved as follows. As before one can save the computation of the exp(− h k 2 D) term involved in the expression of α 4 and α 5 since a cancellation happens with the exp( h k 2 D) term in the expression of v [3] k+1 and v [4] k+1 .…”

Section: Computational Cost Of the Rk4(3) Methodsmentioning

confidence: 99%

“…The linear operator is D : A → iβ 2 ∂ tt A and the non-linear operator is N : A → iγA(z, t) A(z, t) 2 . When β 2 < 0, there exists an exact solution to the NLSE known as the optical soliton [20]. Namely, if the source term is given by…”

Section: Soliton Solution To the Nlse In Opticsmentioning

confidence: 99%

See 2 more Smart Citations

Embedded Runge–Kutta scheme for step-size control in the interaction picture method

Balac¹,

Mahé²

2013

Computer Physics Communications

View full text Add to dashboard Cite

To cite this version:Stéphane Balac, Fabrice Mahé. Embedded Runge-Kutta scheme for step-size control in the interaction picture method. Computer Physics Communications, Elsevier, 2013, 184 (4) AbstractWhen solving certain evolution type PDE such as the Schrödinger equation, the Interaction Picture method is a valuable alternative to Split-Step methods. The Interaction Picture method has good computational features when used together with the standard 4th order Runge-Kutta scheme (giving rise to the RK4-IP method). In this paper we present an embedded Runge-Kutta scheme with orders 3 and 4with the aim to deliver an estimation of the local error for adaptive step-size control purposes in the Interaction Picture method. The corresponding ERK4(3)-IP method preserves the features of the RK4-IP method and provide a local error estimate at no significant extra cost.

show abstract

Section: Computational Cost Of the Rk4(3) Methodsmentioning

confidence: 99%

Section: Computational Cost Of the Rk4(3) Methodsmentioning

confidence: 99%

See 1 more Smart Citation

Embedded Runge–Kutta scheme for step-size control in the interaction picture method

Balac¹,

Mahé²

2013

Computer Physics Communications

View full text Add to dashboard Cite

show abstract

“…The spectral broaden may be the result of many factors such as the new frenquency component arising from the nonlinear effect, and the spectrally-varying loss to the fundamental 5 field in the stimulated Raman scattering process, which is interpreted in Supplementary Text S1. [28,29] A firstprinciple Maxell-Bloch formulation of light-matter interaction are used to inverstigate the dynamics of nanolasers through quantum electrodynamics, [30] and the dynamics of Raman nanolaser in graphene-based superlattice are to be investigated via this approach in the future work.…”

mentioning

confidence: 99%

A Thresholdless Tunable Raman Nanolaser using a ZnO–Graphene Superlattice

Zhu

Tian

et al. 2016

Advanced Materials

View full text Add to dashboard Cite

Nanolasers based on surface plasmon opens up new platform for advanced nanophotonics technologies. [1][2][3][4][5][6] As Raman scattering process convert pump laser into new frequencies, so development of Raman nanolaser may allows for tunable nanolasers and boost the development of innovative nanophotonics technology. The Raman conversion for conventional Raman laser is intrinsically challenging as high intensities of the pump laser are required to drive the nonlinear effect. In recent years, miniaturization of Raman silicon laser has been successfully achieved with the assistance of reverse-biased p-i-n diode at centimeter size or photonics-crystal with high-quality-factor nanocavity at micrometer size. [7][8][9] However, for applications such as high-resolution medical imagings or on-chip optical communications, 'ultimate' nanolasers with scalable, thresholdless,

show abstract

“…Solitons represent a specific type of stable shape-preserving waves propagating through nonlinear media. They can be formed due to a balance between dispersive and nonlinear effects leading to an undistorted propagation over long distance [63][64][65][66][67][68][69][70][71][72][73]. Following a report of ultraslow optical solitons in a highly resonant atomic medium by Wu and Deng [67], these solitary waves have received a considerable attention [19,[21][22][23][74][75][76][77][78][79][80][81][82].…”

Section: Introductionmentioning

confidence: 99%

Electromagnetically induced transparency and nonlinear pulse propagation in a combined tripod and Λ atom-light coupling scheme

Hamedi

Ruseckas

Juzeliūnas

2017

J. Phys. B: At. Mol. Opt. Phys.

View full text Add to dashboard Cite

Abstract. We consider propagation of a probe pulse in an atomic medium characterized by a combined tripod and Lambda (Λ) atom-light coupling scheme. The scheme involves three atomic ground states coupled to two excited states by five light fields. It is demonstrated that dark states can be formed for such an atomlight coupling. This is essential for formation of the electromagnetically induced transparency (EIT) and slow light. In the limiting cases the scheme reduces to conventional Λ-or N -type atom-light couplings providing the EIT or absorption, respectively. Thus the atomic system can experience a transition from the EIT to the absorption by changing the amplitudes or phases of control lasers. Subsequently the scheme is employed to analyze the nonlinear pulse propagation using the coupled Maxwell-Bloch equations. It is shown that generation of stable slow light optical solitons is possible in such a five-level combined tripod and Λ atomic system.

show abstract

Fiber Interferometers

Cited by 117 publications

References 143 publications

Embedded Runge–Kutta scheme for step-size control in the interaction picture method

Embedded Runge–Kutta scheme for step-size control in the interaction picture method

A Thresholdless Tunable Raman Nanolaser using a ZnO–Graphene Superlattice

Electromagnetically induced transparency and nonlinear pulse propagation in a combined tripod and Λ atom-light coupling scheme

Contact Info

Product

Resources

About