Applying the interaction picture to model Kerr frequency comb generation

Bas Schuttrups; P.J.M. van der Slot; Bernardus J. Geurts; K.-J. Boller

Applying the interaction picture to model Kerr frequency comb generation

Bas Schuttrups, P.J.M. van der Slot, Bernardus J. Geurts, K.-J. Boller

Research output: Contribution to conference › Poster › Academic

Abstract

The Lugiato-Lefever equation (LLE) is often used to model Kerr frequency comb generation and various mathematical techniques have been used to solve this equation. Typically, these techniques use a split-step method that is often supplemented with additional optimization steps. An alternative and promising method is the '4th-order Runge-Kutta method in the Interaction Picture' (RK4IP) [1], which has been successfully used to model supercontinuum generation and various phenomena in Bose-Einstein condensates. The algorithm is memory efficient and provides fourth-order global accuracy. We use the RK4IP algorithm as an efficient and robust solver for the LLE. We discuss the implementation and present first modelling results of Kerr frequency comb generation in silicon nitride rings.
[1] B. M. Caradoc-Davies, “Vortex dynamics in Bose–Einstein condensates,” Ph.D. dissertation, Univ. Otago, Dunedin, New Zealand, 2000

Original language	English
Publication status	Published - 8 Oct 2019
Event	43rd Annual Meeting NNV AMO 2019 - Conference Center "De Werelt", Lunteren, Netherlands Duration: 8 Oct 2019 → 9 Oct 2019 Conference number: 43 https://www.ru.nl/amolunteren/

Conference

Conference	43rd Annual Meeting NNV AMO 2019
Abbreviated title	NNV AMO 2019
Country/Territory	Netherlands
City	Lunteren
Period	8/10/19 → 9/10/19
Internet address	https://www.ru.nl/amolunteren/

Cite this

@conference{92716e75ed1742d2aee22801e4aa0e89,

title = "Applying the interaction picture to model Kerr frequency comb generation",

abstract = "The Lugiato-Lefever equation (LLE) is often used to model Kerr frequency comb generation and various mathematical techniques have been used to solve this equation. Typically, these techniques use a split-step method that is often supplemented with additional optimization steps. An alternative and promising method is the '4th-order Runge-Kutta method in the Interaction Picture' (RK4IP) [1], which has been successfully used to model supercontinuum generation and various phenomena in Bose-Einstein condensates. The algorithm is memory efficient and provides fourth-order global accuracy. We use the RK4IP algorithm as an efficient and robust solver for the LLE. We discuss the implementation and present first modelling results of Kerr frequency comb generation in silicon nitride rings.[1] B. M. Caradoc-Davies, “Vortex dynamics in Bose–Einstein condensates,” Ph.D. dissertation, Univ. Otago, Dunedin, New Zealand, 2000",

author = "Bas Schuttrups and {van der Slot}, P.J.M. and Geurts, {Bernardus J.} and K.-J. Boller",

year = "2019",

month = oct,

day = "8",

language = "English",

note = "43rd Annual Meeting NNV AMO 2019, NNV AMO 2019 ; Conference date: 08-10-2019 Through 09-10-2019",

url = "https://www.ru.nl/amolunteren/",

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TY - CONF

T1 - Applying the interaction picture to model Kerr frequency comb generation

AU - Schuttrups, Bas

AU - van der Slot, P.J.M.

AU - Geurts, Bernardus J.

AU - Boller, K.-J.

N1 - Conference code: 43

PY - 2019/10/8

Y1 - 2019/10/8

N2 - The Lugiato-Lefever equation (LLE) is often used to model Kerr frequency comb generation and various mathematical techniques have been used to solve this equation. Typically, these techniques use a split-step method that is often supplemented with additional optimization steps. An alternative and promising method is the '4th-order Runge-Kutta method in the Interaction Picture' (RK4IP) [1], which has been successfully used to model supercontinuum generation and various phenomena in Bose-Einstein condensates. The algorithm is memory efficient and provides fourth-order global accuracy. We use the RK4IP algorithm as an efficient and robust solver for the LLE. We discuss the implementation and present first modelling results of Kerr frequency comb generation in silicon nitride rings.[1] B. M. Caradoc-Davies, “Vortex dynamics in Bose–Einstein condensates,” Ph.D. dissertation, Univ. Otago, Dunedin, New Zealand, 2000

AB - The Lugiato-Lefever equation (LLE) is often used to model Kerr frequency comb generation and various mathematical techniques have been used to solve this equation. Typically, these techniques use a split-step method that is often supplemented with additional optimization steps. An alternative and promising method is the '4th-order Runge-Kutta method in the Interaction Picture' (RK4IP) [1], which has been successfully used to model supercontinuum generation and various phenomena in Bose-Einstein condensates. The algorithm is memory efficient and provides fourth-order global accuracy. We use the RK4IP algorithm as an efficient and robust solver for the LLE. We discuss the implementation and present first modelling results of Kerr frequency comb generation in silicon nitride rings.[1] B. M. Caradoc-Davies, “Vortex dynamics in Bose–Einstein condensates,” Ph.D. dissertation, Univ. Otago, Dunedin, New Zealand, 2000

M3 - Poster

T2 - 43rd Annual Meeting NNV AMO 2019

Y2 - 8 October 2019 through 9 October 2019

ER -

Applying the interaction picture to model Kerr frequency comb generation

Abstract

Conference

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