Making use of the canonical quantization theory and defining proper creation and annihilation operators, the total Hamiltonian for the pulse propagation through the optical fiber is quantized. An operator form of the nonlinear Schrodinger equation is obtained implementing the resulted Hamiltonian. We, then, use the results of the positive P-representation and obtain a coupled stochastic nonlinear Schrodinger equation. Finally, we simulate these equations and argue about supercontinuum generation process in optical fiber (especially in photonic crystal fiber).

Date Published: 7 September 2016
PDF: 7 pages
Proc. SPIE 9958, Photonic Fiber and Crystal Devices: Advances in Materials and Innovations in Device Applications X, 995803 (7 September 2016); doi: 10.1117/12.2236882

Published in SPIE Proceedings Vol. 9958:
Photonic Fiber and Crystal Devices: Advances in Materials and Innovations in Device Applications X
Shizhuo Yin; Ruyan Guo, Editor(s)