1Lomonosov Moscow State Univ. (Russian Federation) 2Russian Metrological Institute of Technical Physics and Radio Engineering (Russian Federation) 3Technology Innovation Institute (United Arab Emirates) 4Russian Quantum Ctr. (Russian Federation)
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The calculation of thermal shifts caused by the absorption of laser radiation power is extremely important for describing nonlinear processes in microresonators. One way to calculate thermal frequency shifts is to use equations with effective parameters. In our work we calculated the effective parameters by approximating the numerical solution of 3D heat equation in Si3N4 integrated microresonator pumped by a ”step-like” heating power with the empirical exponent and found that the quality of the approximation depends on the geometric and material parameters of the microresonator. As result we obtained the map of parameters where the commonly used equation describes the direct numerical simulation well and the range of parameters where the applicability of this theory becomes inaccurate. To verify the correctness of our calculations, we compared the frequency shifts calculated using effective parameters with frequency shifts obtained with numerical simulation of eigenfrequencies and eigenmodes problem in a ”hot” deformed microresonator.
Vladislav I. Pavlov,Nikita M. Kondratyev,Steevy J. Cordette, andValery E. Lobanov
"Numerical simulation of pump power-induced heating processes in silicon nitride photonic chips", Proc. SPIE 12322, Nanophotonics, Micro/Nano Optics, and Plasmonics VIII, 123220W (4 January 2023); https://doi.org/10.1117/12.2640529
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Vladislav I. Pavlov, Nikita M. Kondratyev, Steevy J. Cordette, Valery E. Lobanov, "Numerical simulation of pump power-induced heating processes in silicon nitride photonic chips," Proc. SPIE 12322, Nanophotonics, Micro/Nano Optics, and Plasmonics VIII, 123220W (4 January 2023); https://doi.org/10.1117/12.2640529