Abstract
The complete equations of motion for an electromagnetic field propagating in a dielectric fiber must include a quantum description of the radiation field, if gain, absorption, and the electronic nonlinear response of the medium are all taken into account. In addition, the effects of thermal vibrational states of the fiber cause fluctuations on both the macroscopic and molecular scales. This leads to an extra nonlinear response with a delay time of the order of 100 femtoseconds or longer, due to Brillouin and Raman processes. The resulting equation for the quantum field has the form of a vector nonlinear Schrödinger equation, with a modified nonlinear term to account for the delayed response. Additional quantum noise terms arising from the vibrational coupling are also present. Besides offering a quantum-mechanical formulation for the problem of soliton propagation in fibers1, the classical behavior of ultra-short pulses predicted by the theory supports earlier heuristic models of Raman scattering.
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References
A. Hasegawa and F. Tappert, Appl. Phys. Lett. 23:192(1973); L. F. Mollenauer, R. H. Stolen and J. P. Gordon, Phys. Rev. Lett. 45:1095(1980); L. F. Mollenauer, Philos. Trans. Roy. Soc. Lond. A315: 435 (1985).
H. A. Bethe, Z. Phys. 71, 205 (1931); C. N. Yang, Phys. Rev. 168:1920(1967); S. Coleman, “Aspects of Symmetry”, Cambridge University Press, Cambridge(1985).
S. J. Carter, P. D. Drummond, M. D. Reid and R. M. Shelby, Phys. Rev. Lett., 58:1841(1987); P. D. Drummond and S. J. Carter, J. Opt. Soc. Am., B4: 1565 (1987).
M. Rosenbluh and R. M. Shelby, Phys. Rev. Lett. 66:153(1991); P. D. Drummond, R. M. Shelby, S. R. Friberg and Y. Yamamoto, Nature 365: 307 (1993).
C. M. Caves and P. D. Drummond, Rev. Mod. Phys. 66: 481 (1994).
J. P. Gordon and H. A. Haus, Opt, Lett. 11:665(1986); M. Nakazawa, E. Yamada, H. Kubota, and K. Suzuki, Electron. Lett. 27: 1270 (1991).
Y. Lai and H. A. Haus, Phys. Rev. A40:844 (1989); H. A. [laus and Y. Lai, J. Opt. Soc, Am., B7: 386 (1990).
M. Hillery and L. D. Mlodinow, Phys. Rev. A 30:1860(1984); P. D. Drummond, Phys. Rev. A 39: 2718 (1989).
J. P. Gordon, Optics Lett. 11:662(1986); S. J. Carter and P. D. Drummond, Phys. Rev. Lett. 67:3757(1991); P. D. Drummond and A. D. Hardman, Europhys. Lett. 21:279(1993); S. J. Carter, Phys. Rev. A 51: 3274 (1995).
Friberg, S. R., S. Machida and Y. Yamamoto, 1992, Phys. Rev. Lett. 69, 3165.
R. M. Shelby, P. D. Drummond and S. J. Carter, Phys. Rev. A42: 2966 (1990).
B. Huttner, J. J. Baumberg and S. M. Barnett, Europhys. Lett. 16: 177 (1991).
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© 1996 Springer Science+Business Media New York
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Drummond, P.D. (1996). Quantum Theory of Fiber-Optics and Solitons. In: Eberly, J.H., Mandel, L., Wolf, E. (eds) Coherence and Quantum Optics VII. Springer, Boston, MA. https://doi.org/10.1007/978-1-4757-9742-8_39
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DOI: https://doi.org/10.1007/978-1-4757-9742-8_39
Publisher Name: Springer, Boston, MA
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