Fast Synergetic Simulation of Soliton Molecules in Microresonators in the Presence of Noise

Sanzida Akter; Pradyoth Shandilya; Logan Courtright; Giuseppe D'Aguanno; Rajasekhar Anguluri; Omri Gat; Curtis R. Menyuk

doi:10.1117/12.3043349

Fast Synergetic Simulation of Soliton Molecules in Microresonators in the Presence of Noise

Sanzida Akter^*
, Pradyoth Shandilya
, Logan Courtright
, Giuseppe D'Aguanno
, Rajasekhar Anguluri
, Omri Gat
, Curtis R. Menyuk

^*Corresponding author for this work

Racah Institute of Physics

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

2 Scopus citations

Abstract

We introduce a synergetic simulation method that makes it possible to take time steps that are many orders of magnitude larger than is possible with conventional methods. We apply this method to a two-soliton molecule in a microresonator to carry out Monte Carlo simulations and determine when the molecule becomes unstable due to white noise. We validate the model by solving for the steady-state probability density using the Fokker-Planck equation.

Original language	English
Title of host publication	Laser Resonators, Microresonators, and Beam Control XXVII
Editors	Vladimir S. Ilchenko, Andrea M. Armani, Julia V. Sheldakova, Alexis V. Kudryashov, Andrey B. Matsko
Publisher	SPIE
ISBN (Electronic)	9781510684461
DOIs	https://doi.org/10.1117/12.3043349
State	Published - 2025
Event	Laser Resonators, Microresonators, and Beam Control XXVII 2025 - San Francisco, United States Duration: 28 Jan 2025 → 30 Jan 2025

Publication series

Name	Proceedings of SPIE - The International Society for Optical Engineering
Volume	13349
ISSN (Print)	0277-786X
ISSN (Electronic)	1996-756X

Conference

Conference	Laser Resonators, Microresonators, and Beam Control XXVII 2025
Country/Territory	United States
City	San Francisco
Period	28/01/25 → 30/01/25

Bibliographical note

Publisher Copyright:
© 2025 SPIE.

Keywords

Optical frequency combs
fast simulation algorithm
soliton molecules
stability analysis

Access to Document

10.1117/12.3043349

Cite this

Akter, S., Shandilya, P., Courtright, L., D'Aguanno, G., Anguluri, R., Gat, O., & Menyuk, C. R. (2025). Fast Synergetic Simulation of Soliton Molecules in Microresonators in the Presence of Noise. In V. S. Ilchenko, A. M. Armani, J. V. Sheldakova, A. V. Kudryashov, & A. B. Matsko (Eds.), Laser Resonators, Microresonators, and Beam Control XXVII Article 1334904 (Proceedings of SPIE - The International Society for Optical Engineering; Vol. 13349). SPIE. https://doi.org/10.1117/12.3043349

Akter, Sanzida ; Shandilya, Pradyoth ; Courtright, Logan et al. / Fast Synergetic Simulation of Soliton Molecules in Microresonators in the Presence of Noise. Laser Resonators, Microresonators, and Beam Control XXVII. editor / Vladimir S. Ilchenko ; Andrea M. Armani ; Julia V. Sheldakova ; Alexis V. Kudryashov ; Andrey B. Matsko. SPIE, 2025. (Proceedings of SPIE - The International Society for Optical Engineering).

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title = "Fast Synergetic Simulation of Soliton Molecules in Microresonators in the Presence of Noise",

abstract = "We introduce a synergetic simulation method that makes it possible to take time steps that are many orders of magnitude larger than is possible with conventional methods. We apply this method to a two-soliton molecule in a microresonator to carry out Monte Carlo simulations and determine when the molecule becomes unstable due to white noise. We validate the model by solving for the steady-state probability density using the Fokker-Planck equation.",

keywords = "Optical frequency combs, fast simulation algorithm, soliton molecules, stability analysis",

author = "Sanzida Akter and Pradyoth Shandilya and Logan Courtright and Giuseppe D'Aguanno and Rajasekhar Anguluri and Omri Gat and Menyuk, \{Curtis R.\}",

note = "Publisher Copyright: {\textcopyright} 2025 SPIE.; Laser Resonators, Microresonators, and Beam Control XXVII 2025 ; Conference date: 28-01-2025 Through 30-01-2025",

year = "2025",

doi = "10.1117/12.3043349",

language = "אנגלית",

series = "Proceedings of SPIE - The International Society for Optical Engineering",

publisher = "SPIE",

editor = "Ilchenko, \{Vladimir S.\} and Armani, \{Andrea M.\} and Sheldakova, \{Julia V.\} and Kudryashov, \{Alexis V.\} and Matsko, \{Andrey B.\}",

booktitle = "Laser Resonators, Microresonators, and Beam Control XXVII",

address = "ארצות הברית",

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Akter, S, Shandilya, P, Courtright, L, D'Aguanno, G, Anguluri, R, Gat, O & Menyuk, CR 2025, Fast Synergetic Simulation of Soliton Molecules in Microresonators in the Presence of Noise. in VS Ilchenko, AM Armani, JV Sheldakova, AV Kudryashov & AB Matsko (eds), Laser Resonators, Microresonators, and Beam Control XXVII., 1334904, Proceedings of SPIE - The International Society for Optical Engineering, vol. 13349, SPIE, Laser Resonators, Microresonators, and Beam Control XXVII 2025, San Francisco, United States, 28/01/25. https://doi.org/10.1117/12.3043349

Fast Synergetic Simulation of Soliton Molecules in Microresonators in the Presence of Noise. / Akter, Sanzida; Shandilya, Pradyoth; Courtright, Logan et al.
Laser Resonators, Microresonators, and Beam Control XXVII. ed. / Vladimir S. Ilchenko; Andrea M. Armani; Julia V. Sheldakova; Alexis V. Kudryashov; Andrey B. Matsko. SPIE, 2025. 1334904 (Proceedings of SPIE - The International Society for Optical Engineering; Vol. 13349).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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T1 - Fast Synergetic Simulation of Soliton Molecules in Microresonators in the Presence of Noise

AU - Akter, Sanzida

AU - Shandilya, Pradyoth

AU - Courtright, Logan

AU - D'Aguanno, Giuseppe

AU - Anguluri, Rajasekhar

AU - Gat, Omri

AU - Menyuk, Curtis R.

PY - 2025

Y1 - 2025

N2 - We introduce a synergetic simulation method that makes it possible to take time steps that are many orders of magnitude larger than is possible with conventional methods. We apply this method to a two-soliton molecule in a microresonator to carry out Monte Carlo simulations and determine when the molecule becomes unstable due to white noise. We validate the model by solving for the steady-state probability density using the Fokker-Planck equation.

AB - We introduce a synergetic simulation method that makes it possible to take time steps that are many orders of magnitude larger than is possible with conventional methods. We apply this method to a two-soliton molecule in a microresonator to carry out Monte Carlo simulations and determine when the molecule becomes unstable due to white noise. We validate the model by solving for the steady-state probability density using the Fokker-Planck equation.

KW - Optical frequency combs

KW - fast simulation algorithm

KW - soliton molecules

KW - stability analysis

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A2 - Ilchenko, Vladimir S.

A2 - Armani, Andrea M.

A2 - Sheldakova, Julia V.

A2 - Kudryashov, Alexis V.

A2 - Matsko, Andrey B.

PB - SPIE

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Akter S, Shandilya P, Courtright L, D'Aguanno G, Anguluri R, Gat O et al. Fast Synergetic Simulation of Soliton Molecules in Microresonators in the Presence of Noise. In Ilchenko VS, Armani AM, Sheldakova JV, Kudryashov AV, Matsko AB, editors, Laser Resonators, Microresonators, and Beam Control XXVII. SPIE. 2025. 1334904. (Proceedings of SPIE - The International Society for Optical Engineering). doi: 10.1117/12.3043349

Fast Synergetic Simulation of Soliton Molecules in Microresonators in the Presence of Noise

Abstract

Publication series

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Bibliographical note

Keywords

Access to Document

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