“…(8), which is absent in the classical GNLSE, there are differences between the classical GNLSE and the quantum mechanical treatment of the supercontinuum generation. Note that the higher order dispersion terms and retarded response of the medium is not included in the work reported by reference 37 and therefore the results do not show the soliton self-frequency shift and soliton fission present here. Figure 1 Simulation results for the quantum mechanical ( a and b ) and classical treatment (c and d) of the supercontinuum generation, SCG, along the first 15 cm of a PCF fiber.…”
Section: Simulation Results and Discussionmentioning
confidence: 74%
“…Making use of this quantization scheme and considering that the non-dispersive and instantaneous assumptions of nonlinear response are not suitable for ultra-short pulses, we quantized the supercontinuum generation process. Our previous report, exhibits that the supercontinuum generation is not supported by a model where retarded response of the medium is not taken into account 37 . In this work, we will focus on the quantum treatment of supercontinuum generation by electromagnetic radiation in the presence of the higher order dispersion terms, retarded response of the medium and dispersion of the third-order susceptibility.…”
A quantum theory is established for the propagation of electromagnetic waves in highly nonlinear dispersive optical fibers. By applying the method recently presented dispersion terms and retarded response of the medium are included for the propagation of light in a fiber in this work. A coupled stochastic generalized nonlinear Schrödinger equation (GNLSE) is obtained via the coherent positive-P representation to describe the supercontinuum generation process. This coupled quantum-stochastic equation is applied to obtain the linearized fluctuation equation for studying quantum noise and the fluctuation in the vicinity of the formed solitons in the supercontinuum generation process in the region of anomalous dispersion. Also, these equations can be used to study the soliton self-frequency shift quantum mechanically. Finally, we simulate the obtained coupled stochastic generalized nonlinear Schrödinger in the mean case and compare our simulation results with experimental results.
“…(8), which is absent in the classical GNLSE, there are differences between the classical GNLSE and the quantum mechanical treatment of the supercontinuum generation. Note that the higher order dispersion terms and retarded response of the medium is not included in the work reported by reference 37 and therefore the results do not show the soliton self-frequency shift and soliton fission present here. Figure 1 Simulation results for the quantum mechanical ( a and b ) and classical treatment (c and d) of the supercontinuum generation, SCG, along the first 15 cm of a PCF fiber.…”
Section: Simulation Results and Discussionmentioning
confidence: 74%
“…Making use of this quantization scheme and considering that the non-dispersive and instantaneous assumptions of nonlinear response are not suitable for ultra-short pulses, we quantized the supercontinuum generation process. Our previous report, exhibits that the supercontinuum generation is not supported by a model where retarded response of the medium is not taken into account 37 . In this work, we will focus on the quantum treatment of supercontinuum generation by electromagnetic radiation in the presence of the higher order dispersion terms, retarded response of the medium and dispersion of the third-order susceptibility.…”
A quantum theory is established for the propagation of electromagnetic waves in highly nonlinear dispersive optical fibers. By applying the method recently presented dispersion terms and retarded response of the medium are included for the propagation of light in a fiber in this work. A coupled stochastic generalized nonlinear Schrödinger equation (GNLSE) is obtained via the coherent positive-P representation to describe the supercontinuum generation process. This coupled quantum-stochastic equation is applied to obtain the linearized fluctuation equation for studying quantum noise and the fluctuation in the vicinity of the formed solitons in the supercontinuum generation process in the region of anomalous dispersion. Also, these equations can be used to study the soliton self-frequency shift quantum mechanically. Finally, we simulate the obtained coupled stochastic generalized nonlinear Schrödinger in the mean case and compare our simulation results with experimental results.
“…Supercontinuum generation process is extensively studied by many groups [7], however there are few works on noises involved in this process [21], [34]. Here, in order to indicate that noise can affect deeply on the supercontinuum spectrum, we will simulate Eq.…”
Section: Numerical Resultsmentioning
confidence: 99%
“…We speculate that a quantum mechanical treatment is needed for pulses as short as 1ps in order to study these noises in supercontinuum spectrum. There are several quantum theories [34]- [36] for pulse propagation along optical fiber in literature, but none of them are suitable for supercontinuum generation process. We believe that by using a powerful quantum scheme, the scientists and engineers can be fully exploited supercontinuum light in all its capacities.…”
In this paper, a stochastic term is added to the classical generalized nonlinear Schrödinger Equation to describe the noise generated when light pulses propagate in a fiber. It has been shown that the generated supercontinuum light source fluctuates up to 50% of its output temporal intensity profile due to noises of different sources. The simulation method devised has been applied to the propagation of finite energy Airy pulse in a photonic crystal fiber and to study the generated noise.
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