Applying the interaction picture to model Kerr frequency comb generation

Research output: Contribution to conferencePosterAcademic

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 languageEnglish
Publication statusPublished - 8 Oct 2019
Event43rd Annual Meeting NNV AMO 2019 - Conference Center "De Werelt", Lunteren, Netherlands
Duration: 8 Oct 20199 Oct 2019
Conference number: 43
https://www.ru.nl/amolunteren/

Conference

Conference43rd Annual Meeting NNV AMO 2019
Abbreviated titleNNV AMO 2019
CountryNetherlands
CityLunteren
Period8/10/199/10/19
Internet address

Fingerprint

Runge-Kutta method
New Zealand
interactions
Bose-Einstein condensates
silicon nitrides
condensates
vortices
optimization
rings

Cite this

Schuttrups, B., van der Slot, P. J. M., Geurts, B. J., & Boller, K-J. (2019). Applying the interaction picture to model Kerr frequency comb generation. Poster session presented at 43rd Annual Meeting NNV AMO 2019, Lunteren, Netherlands.
Schuttrups, Bas ; van der Slot, P.J.M. ; Geurts, Bernardus J. ; Boller, K.-J. / Applying the interaction picture to model Kerr frequency comb generation. Poster session presented at 43rd Annual Meeting NNV AMO 2019, Lunteren, Netherlands.
@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 = "10",
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/",

}

Schuttrups, B, van der Slot, PJM, Geurts, BJ & Boller, K-J 2019, 'Applying the interaction picture to model Kerr frequency comb generation' 43rd Annual Meeting NNV AMO 2019, Lunteren, Netherlands, 8/10/19 - 9/10/19, .

Applying the interaction picture to model Kerr frequency comb generation. / Schuttrups, Bas; van der Slot, P.J.M.; Geurts, Bernardus J.; Boller, K.-J.

2019. Poster session presented at 43rd Annual Meeting NNV AMO 2019, Lunteren, Netherlands.

Research output: Contribution to conferencePosterAcademic

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.

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

ER -

Schuttrups B, van der Slot PJM, Geurts BJ, Boller K-J. Applying the interaction picture to model Kerr frequency comb generation. 2019. Poster session presented at 43rd Annual Meeting NNV AMO 2019, Lunteren, Netherlands.