Despite the tremendous awareness of Rayleigh scattering characteristics and its considerable research interest for numerous fields, no report has been documented on the dynamic characteristics of spectrum evolution (SpE) and physical law for Rayleigh scattering from a micro perspective. Herein, the dynamic characteristics of the SpE of Rayleigh scattering in a one-dimensional waveguide (ODW) is investigated based on the quantum theory and a SpE-model of Rayleigh backscattering (RBS) source is established. By means of simulation, the evolution law which represents the dynamic process of the spectrum linewidth at a state of continuous scattering is revealed, which is consistent with our previous experimental observation. Moreover, an approximate theoretical prediction of the existing relationship between the spectrum linewidth of RBS source and the transmission length in ODW is proposed, which theoretically provides the feasibility of constructing functional devices suitable to ascertain laser linewidth compression. The designed experimental scheme can be implemented provided the assumptions are fulfilled. In addition, a theoretical model of the micro-cavity structure to realize the deep compression of laser linewidth is proposed.
Spectrum evolution of Rayleigh backscattering in one-dimensional waveguide
First published at:Aug 17, 2019
1. Mizuno Y, Zou W W, He Z Y, Hotate K. Proposal of Brillouin optical correlation-domain reflectometry (BOCDR). Opt Ex-press 16, 12148–12153 (2008).
2. Maier R R J, Macpherson W N, Barton J S, McCulloch S, Jones B J S. Distributed sensing using Rayleigh scatter in polarization-maintaining fibres for transverse load sensing. Meas Sci Technol 21, 094019 (2010).
3. Zhang Z Y, Bao X Y. Continuous and damped vibration detection based on fiber diversity detection sensor by Rayleigh backscattering. J Lightw Technol 26, 832–838 (2008).
4. Pan Z Q, Yu C Y, Willner A E. Optical performance monitoring for the next generation optical communication networks. Opt Fiber Technol 16, 20–45 (2010).
5. Zheng Y, Wu Z F, Shum P P, Xu Z L, Keiser G et al. Sensing and lasing applications of whispering gallery mode microresonators. Opto-Electron Adv 1, 180015 (2018).
6. Faris G W, Markosyan A, Porter C L, Doshay S. Two-tone frequency-modulation stimulated Rayleigh spectroscopy. Opt Lett 39, 4615–4618 (2014).
7. Dong L. Stimulated thermal Rayleigh scattering in optical fibers. Opt Express 21, 2642–2656 (2013).
8. Cui J W, Dang H, Feng K P, Yang W L, Geng T et al. Stimulated Brillouin scattering evolution and suppression in an integrated stimulated thermal Rayleigh scattering-based fiber laser. Photonics Res 5, 233–238 (2017).
9. He G S, Lu C G, Zheng Q D, Prasad P N, Zerom P et al. Stimulated Rayleigh-Bragg scattering in two-photon absorbing media. Phys Rev A 71, 063810 (2005).
10. Zhu T, Bao X Y, Chen L, Liang H, Dong Y K. Experimental study on stimulated Rayleigh scattering in optical fibers. Opt Express 18, 22958–22963 (2010).
11. Zhu T, Bao X Y, Chen L. A single longitudinal-mode tunable fiber ring laser based on stimulated Rayleigh scattering in a nonuniform optical fiber. J Lightw Technol 29, 1802–1807 (2011).
12. Huang S H, Zhu T, Yin G L, Lan T Y, Huang L G et al. Tens of hertz narrow-linewidth laser based on stimulated Brillouin and Rayleigh scattering. Opt Lett 42, 5286–5289 (2017).
13. Zheng S B. Jaynes-Cummings model with a collective atomic mode. Phys Rev A 77, 045802 (2008).
14. Romanelli A. Generalized Jaynes-Cummings model as a quantum search algorithm. Phys Rev A 80, 014302 (2009).
15. Peano V, Thorwart M. Quasienergy description of the driven Jaynes-Cummings model. Phys Rev B 82, 155129 (2010).
16. Chen Q H, Liu T, Zhang Y Y, Wang K L. Exact solutions to the Jaynes-Cummings model without the rotating-wave approximation. Europhys Lett 96, 14003 (2011).
17. Duan C K, Wen H L, Tanner P A. Local-field effect on the spontaneous radiative emission rate. Phys Rev B 83, 245123 (2011).
18. Sharapova P R, Tikhonova O V. Coherent control of interaction and entanglement of a Rydberg atom with few photons. Laser Phys Lett 10, 075204 (2013).
19. Cheung H K, Law C K. Optomechanical coupling between a moving dielectric sphere and radiation fields: a Lagrangian- Hamiltonian formalism. Phys Rev A 86, 033807 (2012).
20. Li Z X, Yin C H. The ground-state transition probability of impurity bound polaron in quantum rod. Phys B Condens Matter 418, 69–72 (2013).
21. Akbari M, Andrianov S N, Kalachev A A. Quantum logic gates based on off-resonant cavity-assisted interaction between three-level atoms and single photons. Laser Phys 27, 075202 (2017).
22. Abdi M, Degenfeld-Schonburg P, Sameti M, Navarrete- Benlloch C, Hartmann M J. Dissipative optomechanical preparation of macroscopic quantum superposition states. Phys Rev Lett 116, 233604 (2016).
23. Benito M, Mi X, Taylor J M, Petta J R, Burkard G. Input-output theory for spin-photon coupling in Si double quantum dots. Phys Rev B 96, 235434 (2017).
24. Raymer M G, McKinstrie C J. Quantum input-output theory for optical cavities with arbitrary coupling strength: application to two-photon wave-packet shaping. Phys Rev A 88, 043819 (2013).
25. H?yrynen T, Oksanen J, Tulkki J. Dynamics of cavity fields with dissipative and amplifying couplings through multiple quantum two-state systems. Phys Rev A 83, 013801 (2011).
26. Naether U, Quijandría F, García-Ripoll J J, Zueco D. Stationary discrete solitons in a driven dissipative Bose-Hubbard chain. Phys Rev A 91, 033823 (2015).
27. Shi J L, Wu H P, Yan F, Yang J J, He X D. Experimental study on stimulated scattering of ZnO nanospheres dispersed in water. J Nanopart Res 18, 23 (2016).
28. H?yrynen T, Oksanen J, Tulkki J. Unified quantum jump superoperator for optical fields from the weak- to the strong-coupling limit. Phys Rev A 81, 063804 (2010).
29. Gammelmark S, M?lmer K, Alt W, Kampschulte T, Meschede D. Hidden Markov model of atomic quantum jump dynamics in an optically probed cavity. Phys Rev A 89, 043839 (2014).
30. Yin G L, Saxena B, Bao X Y. Tunable Er-doped fiber ring laser with single longitudinal mode operation based on Rayleigh backscattering in single mode fiber. Opt Express 19, 25981–25989 (2011).
31. Pang M, Xie S R, Bao X Y, Zhou D P, Lu Y G et al. Rayleigh scattering-assisted narrow linewidth Brillouin lasing in cascaded fiber. Opt Lett 37, 3129–3131 (2012).
32. Liang W, Ilchenko V S, Savchenkov A A, Matsko A B, Seidel D et al. Whispering-gallery-mode-resonator-based ultranarrow linewidth external-cavity semiconductor laser. Opt Lett 35, 2822–2824 (2010).
33. Liang W, Ilchenko V S, Eliyahu D, Savchenkov A A, Matsko A B et al. Ultralow noise miniature external cavity semiconductor laser. Nat Commun 6, 7371 (2015).
Key Research and Development Project of Ministry of Science and Technology (2016YFC0801200), the National Natural Science Foundation of China (NSFC) (61635004), the National Science Fund for Distinguished Young Scholars (61825501). the National Key R&D Program of China (2016YFA0301500), NSFC (11434015, 61835013), the Strategic Priority Research Program of the Chinese Academy of Sciences (XDB01020300, XDB21030300).
Get Citation: Li F H, Lan T Y, Huang L G, Ikechukwu I P, Liu W M et al. Spectrum evolution of Rayleigh scattering in one-dimensional waveguide. Opto-Electron Adv 2, 190012 (2019).