This article contains several large .GIF images(~ 30 MB × 4), which may slow down the webpage loading speed.
To be improved…
When the group velocity dispersion and the self-phase modulation effect cancel each other out, the pulse maintains its shape during propagation in the optical fiber, forming an optical soliton.
This article contains multiple .GIF images, which may slow down the webpage loading speed.
When considering the influence of high-order dispersion on pulse transmission, the attenuation $\alpha$ and non-linear parameter $\gamma$ in the pulse transmission equation are usually simplified as 0 for convenience. At the same time, the pulse intensity $A$ is normalized to $U$.
The Nonlinear Schrödinger Equation( $\alpha=0$ )：
$$
\frac{\partial A}{\partial z}=-\frac{\alpha}{2}A-i \frac{\beta_2}{2} \frac{\partial^2 A}{\partial T^2}+i\gamma|A|^2A
$$
displays how the envelope and phase of an optical pulse change as it propagates through an optical fiber, taking into account attenuation $\alpha$ , group velocity dispersion (GVD) $\beta_2$ and self-phase modulation (SPM) $\gamma$ caused by nonlinearity.
This article will demonstrate the use of the Split-Step Fourier method to solve the Nonlinear Schrödinger Equation in Python.
