Accelerated Coupled Mode Model for Fiber Laser Amplifiers as an Averaged Dynamical System
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866915638019096576 |
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| author | Bryant, Rebecca Grosek, Jacob Gopalakrishnan, Jay |
| author_facet | Bryant, Rebecca Grosek, Jacob Gopalakrishnan, Jay |
| contents | We apply a known theorem for simplifying dynamical systems with bounded error to a specific optical fiber waveguide problem, supplementing the physical intuition and heuristics used in the optics community with proper mathematical justification. Using techniques from averaging theory of dynamical systems, a reliable accelerated model based on the coupled mode theory (CMT) approach for a common fiber laser amplifier application is derived. Computational testing reveals that this accelerated model achieves an ${\sim}4000$x increase in computational speed compared to the CMT model while preserving a high accuracy in key figures-of-merit such as output power and amplification efficiency. Further, we argue that by adopting our recommended approximations within the reduced model framework enables the model to be applied a wider set of amplifier types and configurations than can the current (comparable) reduced models found in the literature. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_20981 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Accelerated Coupled Mode Model for Fiber Laser Amplifiers as an Averaged Dynamical System Bryant, Rebecca Grosek, Jacob Gopalakrishnan, Jay Optics Mathematical Physics We apply a known theorem for simplifying dynamical systems with bounded error to a specific optical fiber waveguide problem, supplementing the physical intuition and heuristics used in the optics community with proper mathematical justification. Using techniques from averaging theory of dynamical systems, a reliable accelerated model based on the coupled mode theory (CMT) approach for a common fiber laser amplifier application is derived. Computational testing reveals that this accelerated model achieves an ${\sim}4000$x increase in computational speed compared to the CMT model while preserving a high accuracy in key figures-of-merit such as output power and amplification efficiency. Further, we argue that by adopting our recommended approximations within the reduced model framework enables the model to be applied a wider set of amplifier types and configurations than can the current (comparable) reduced models found in the literature. |
| title | Accelerated Coupled Mode Model for Fiber Laser Amplifiers as an Averaged Dynamical System |
| topic | Optics Mathematical Physics |
| url | https://arxiv.org/abs/2511.20981 |