Fast synergetic simulation of soliton molecules in microresonators in the presence of noise
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Citation of Original Publication
Akter, Sanzida, Pradyoth Shandilya, Logan Courtright, Giuseppe D’Aguanno, Rajasekhar Anguluri, Omri Gat, and Curtis R. Menyuk. “Fast Synergetic Simulation of Soliton Molecules in Microresonators in the Presence of Noise.” In Laser Resonators, Microresonators, and Beam Control XXVII, 13349:17–19. SPIE, 2025. https://doi.org/10.1117/12.3043349.
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©2025 Society of Photo-Optical Instrumentation Engineers (SPIE). One print or electronic copy may be made for personal use only. Systematic reproduction and distribution, duplication of any material in this paper for a fee or for commercial purposes, or modification of the content of the paper are prohibited
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.