The Effect of Input Pulse on the Soliton Generation in Microresonators
DOI:
https://doi.org/10.32792/utq/utjsci/v11i1.1158Keywords:
Frequency chirp, Super-gaussian pulse, Lugiato–Lefever equation, solitons, nonlinear optics,Abstract
The effect of the input pulse (chirped pulse) on the generation of soliton wave and optical frequency comb in microresonators was studied. The problem was solved numerically using the Lugiato-Lefever equation and the Fourier method by MATLAB program. The effect of Gaussian and ultra-Gaussian pulses, as well as chirped pulses, on the generation of the soliton wave and the frequency comb was also studied. Our study demonstrated that the generation of the soliton and the frequency comb depends on the shape of the pulse intensity distribution. Moreover, the mobility of the soliton and comb changes depending on the shape of the pulse. In addition, the results showed us that the soliton and frequency comb generated in microresonators are strongly affected by the power of the incoming pulse and the radius of the microresonator.
Received: 2024-01-23
Revised: 2024-02-01
Accepted: 2024-02-10
References
O. Descalzi, Clerc M., Residori S. & Assanto, G. Localized States in Physics: Solitons and Patterns, Springer-Verlag Berlin Heidelberg, 2011.
H.G. Purwins, H.U. Bodeker, and S. Amiranashvili, “Dissipative solitons,” Advances in Physics, Volume 59, Issue 5, 2010.
T. J. Kippenberg, A. L. Gaeta, M. Lipson, and M. L. Gorodetsky, "Dissipative Kerr solitons in optical microresonators," Science 361, eaan8083, 2018.
T. Herr, V. Brasch, J. D. Jost, C. Y. Wang, N. M. Kondratiev, M. L. Gorodetsky, and T. J. Kippenberg, "Temporal solitons in optical microresonators," Nat. Photonics 8, 145–152, 2014.
M. Yu, J. K. Jang, Y. Okawachi, A. G. Griffith, K. Luke, S. A. Miller, X. Ji, M. Lipson, and A. L. Gaeta, "Breather soliton dynamics in microresonators," Nature Communications 8, 14569, 2017.
Z. S. Abdul-Hussain and H. A. Sultan, A theoretical study of soliton in photonic crystal fibers, Researcher, 11(1), 2019.
S. Maatoq and H. A. Sultan, Optical frequency comb generation in semiconductor lasers using optical injection locking technique, Journal of Basrah Researches ((Sciences)) Vol. (47). No. 1, 2021.
M. S. Jasima, H. A. Sultan, and C. A. Emshary, The effect of attenuation and dispersion on the propagation of a short Gaussian pulse in optical fibers, Researcher, 11(1), 2019.
M. S. Jasima, H. A. Sultan and C. A. Emshary, "Study the Effect of Some Photonic Crystal Arrangements on the Dispersion and Effective Refractive Index of Photonic Crystal Fiber", International Journal of Science and Research (IJSR), 2018.
A. Anashkina, P. Marisova, A. Sorokin and V. Andrianov, "Numerical Simulation of Mid-Infrared Optical Frequency Comb Generation in Chalcogenide As2S3 Microbubble Resonators", Photonics, 6, 55, 2019.
M. Karpov, M. H. P. Pfeiffer, H. Guo, W. Weng, J. Liu, and T. J. Kippenberg, "Dynamics of soliton crystals in optical microresonators," Nat. Phys. 15, 1071–1077, 2019.
Q.-F. Yang, X. Yi, K. Y. Yang, and K. Vahala, "Stokes solitons in optical microcavities," Nat. Phys. 13, 53–57, 2017.
A. W. Bruch, X. Liu, Z. Gong, J. B. Surya, M. Li, C.-L. Zou, and H. X. Tang, "Pockels soliton microcomb," Nat. Photonics 15, 21–27, 2021.
H. Bao, A. Cooper, M. Rowley, L. Di Lauro, J. S. Totero Gongora, S. T. Chu, B. E. Little, G.-L. Oppo, R. Morandotti, D. J. Moss, B. Wetzel, M. Peccianti, and A. Pasquazi, "Laser cavity-soliton microcombs," Nat. Photonics 13, 384–389, 2019.
E. Nazemosadat, A. Fulop, O. B. Helgason, P.-H. Wang, Y. Xuan, D. E. Leaird, M. Qi, E. Silvestre, A. M. Weiner, and V. Torres-Company, "Switching dynamics of dark-pulse Kerr frequency comb states in optical microresonators," Phys. Rev. A 103, 013513, 2021.
A. B. Matsko, A. A. Savchenkov, W. Liang, V. S. Ilchenko, D. Seidel, and L. Maleki, Mode-locked Kerr frequency combs, Opt. Lett. 36, 2845-2847, 2011.
S. Coen, H. G. Randle, T. Sylvestre, and M. Erkintalo, "Modeling of octave-spanning Kerr frequency combs using a generalized mean-field Lugiato-Lefever model", Opt. Lett. 38, 37-39, 2013.
Xue X, Xuan Y, Liu Y, Wang PH, Chen S, Wang J, ELeaird D, Qi M, Weiner A, "Mode-locked dark pulse Kerr combs in normal-dispersion microresonators". Nature Photonics 9:594–600. 10.1038.137, 2015.
Kilian Seibold, Riccardo Rota, Fabrizio Minganti, and Vincenzo Savona, "Quantum dynamics of Dissipative Kerr solitons", Quantum Physics, Dec 2021.
Agrawal, G. Nonlinear Fiber Optics, Academic, San Diego, 2006.
T. Hansson, S. Wabnitz, "Frequency comb generation beyond the Lugiato–Lefever equation: multi-stability and super cavity solitons". Journal of the Optical Society of America B 32(7):1259–1266, 10.1364/JOSAB.32.001259, 2015.
X. Xue, Y. Xuan, Y. Liu, PH Wang, S. Chen, J. Wang, D. ELeaird, M. Qi, A.Weiner, "Mode-locked dark pulse Kerr combs in normal-dispersion microresonators". Nature Photonics 9:594–600. 10.1038, 137, 2015.
G. Moille, Q. Li, S. Kim, D. Westly, K. Srinivasan, "Phased-locked two-color single soliton microcombs in dispersion-engineered Si3N4 resonators". Optics Letters 43(12):2772–2775. 10.1364/OL.43.002772, 2018.
V. Brasch, M. Geiselmann, T. Herr, G. Lihachev, M. H. P. Pfeiffer, M. L. Gorodetsky and T. J. Kippenberg, "Photonic chip-based optical frequency comb using soliton Cherenkov radiation", Science 351, 357, 2016.
X. Ji, F. A. S. Barbosa, S. P. Roberts, A. Dutt, J. Cardenas, Y. Okawachi, A. Bryant, A. L. Gaeta and M. Lipson, "Ultra-low-loss on-chip resonators with sub-milliwatt parametric oscillation threshold", Optica 4, 619, 2017.
M. Justin, M. Boudoue Hubert, G. Betchewe, Doka, Serge Yamigno, K. Timoleon Crepin, "Chirped solitons in derivative nonlinear Schrodinger equation", ELSEVIER, Volume 107, Pages 49-54, February 2018.
N. Aziz, Aly R. Seadawy, U. Raza, K. Ali and Syed T. R. Rizvi, "chirped optical pulses for generalized longitudinal Lugiato Lefever: cubic nonlinear Schrodinger equation", Sprenger, 24 August 2022.
Haus, H. A., Fujimoto, J. G. & Ippen, E. P. "Structures for additive pulse mode locking", J. Opt. Soc. Am. B Vol. 8(No. 10): 2068–2076, 1991.
Senior, J. M., & Jamro, M. Y. "Optical fiber communications: principles and practice". Pearson Education. 2009.
Agrawal, G. nonlinear Fiber Optics. 5th ed (Amsterdam: Academic), 2012.
T. Murakawa and T. Konishi, "Pulse-by-pulse near 800-nm band power stabilization using all-optical limiter based on self-phase modulation". Optics Communications, 344, 134-138. 2015.
M. Teucher and E. Bordignon, "Improved signal fidelity in 4-pulse DEER with Gaussian pulses". Journal of Magnetic Resonance, 296, 103-111. 2018.
A. M. Ayela, G. Edah, C. Elloh, A. Biswas, M. Ekici, A. K. Alzahrani, and M. R. Belic, "Chirped super–Gaussian and super–sech pulse perturbation of nonlinear Schrodinger's equation with quadratic–cubic nonlinearity by variational principle". Physics Letters A, 396, 127231. 2021.
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