{ "cells": [ { "cell_type": "markdown", "metadata": { "pycharm": { "name": "#%% md\n" } }, "source": [ "# Optical Channel with Lumped Amplification" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In this notebook, you will learn how to simulate the transmission of a single Gaussian impulse over a\n", "lumped amplification channel model consisting of multiple fiber spans and optical amplifiers, so-called Erbium Doped Fiber Amplifiers (EDFA), as shown in the Figure below. We assume a *standard single mode fiber* (S-SMF) and denote the fiber length between two amplifiers by $\\ell_\\text{span}$." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "![SSFM](data:image/png;base64,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] }, { "cell_type": "markdown", "metadata": { "pycharm": { "name": "#%% md\n" } }, "source": [ "Let $G$ denote the amplifier gain and $F$ the noise figure of each EDFA.\n", "\n", "As we focus on the optical channel and not the corresponding signal processing, \n", "the transmitter directly generates the optical signal. Hence, all\n", "components that, in practice, are required to\n", "generate the optical signal given an electrical control voltage\n", "(e.g., the Mach-Zehnder-Modulator (MZM)) are assumed to be ideal or are neglected. The same holds on the receiver side, where the photodiode that would add shot noise is neglected.\n", "\n", "To provide a better understanding of the implemented channel impairments (attenuation, noise, dispersion,\n", "nonlinearity) introduced during propagation, those are successively\n", "enabled, starting with attenuation." ] }, { "cell_type": "markdown", "metadata": { "pycharm": { "name": "#%% md\n" } }, "source": [ "## Table of Contents\n", "- [Setup](#Setup)\n", "- [Attenuation](#Attenuation)\n", "- [Amplified Spontaneous Emission Noise](#Amplified-Spontaneous-Emission-Noise)\n", "- [Chromatic Dispersion](#Chromatic-Dispersion)\n", "- [Kerr Nonlinearity](#Kerr-Nonlinearity)\n", "- [Split-Step Fourier Method](#Split-Step-Fourier-Method)\n", "- [References](#References)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Setup" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "execution": { "iopub.execute_input": "2026-08-06T21:22:21.558249Z", "iopub.status.busy": "2026-08-06T21:22:21.558135Z", "iopub.status.idle": "2026-08-06T21:22:24.733663Z", "shell.execute_reply": "2026-08-06T21:22:24.732712Z" } }, "outputs": [], "source": [ "import os\n", "\n", "# Import Sionna\n", "try:\n", " import sionna.phy\n", "except ImportError as e:\n", " import sys\n", " if 'google.colab' in sys.modules:\n", " # Install Sionna in Google Colab\n", " print(\"Installing Sionna and restarting the runtime. Please run the cell again.\")\n", " os.system(\"pip install sionna\")\n", " os.kill(os.getpid(), 5)\n", " else:\n", " raise e\n", "\n", "import torch\n", "import numpy as np\n", "%matplotlib inline\n", "import matplotlib.pyplot as plt\n", "\n", "# Set random seed for reproducibility\n", "from sionna.phy import config\n", "from sionna.phy.channel import utils\n", "config.seed = 42" ] }, { "cell_type": "markdown", "metadata": { "pycharm": { "name": "#%% md\n" } }, "source": [ "## Impulse Generation\n", "\n", "Before diving into the first channel model, the simulation shall be parametrized and the\n", "initial Gaussian impulse\n", "\n", "$$g(t)=\\sqrt{P_0\\cdot 2^{\\left(-\\left(\\frac{2t}{T_0}\\right)^2\\right)}}$$\n", "\n", "is generated. The impulse shall have peak power $P_0$ and a pulse duration of $T_0$.\n", "Note that the Gaussian filter is infinitely long, such that $T_0$ is the\n", "full width at half-maximum (FWHM) pulse duration.\n", "\n", "Further, the simulation window is set to $T_\\mathrm{sim}=1000\\,\\mathrm{ps}$ and the sample duration\n", "is set to $\\Delta_t=1\\,\\mathrm{ps}$." ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "execution": { "iopub.execute_input": "2026-08-06T21:22:24.736366Z", "iopub.status.busy": "2026-08-06T21:22:24.736069Z", "iopub.status.idle": "2026-08-06T21:22:24.740206Z", "shell.execute_reply": "2026-08-06T21:22:24.739349Z" } }, "outputs": [ { "data": { "text/plain": [ "torch.complex128" ] }, "execution_count": 2, "metadata": {}, "output_type": "execute_result" } ], "source": [ "config.precision=\"double\"\n", "config.cdtype" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": false, "execution": { "iopub.execute_input": "2026-08-06T21:22:24.785466Z", "iopub.status.busy": "2026-08-06T21:22:24.785335Z", "iopub.status.idle": "2026-08-06T21:22:24.940226Z", "shell.execute_reply": "2026-08-06T21:22:24.939536Z" }, "jupyter": { "outputs_hidden": false }, "pycharm": { "name": "#%%\n" } }, "outputs": [], "source": [ "# Simulation parameters\n", "t_sim = int(1e4) # (ps) Simulation time window\n", "n_sim = int(1e4) # Number of simulation samples\n", "\n", "# Channel parameters\n", "n_span = 3\n", "\n", "# Impulse parameters\n", "p_0 = 3e-2 # (W) Peak power of the Gaussian pulse\n", "t_0 = 50 # (ps) Norm. temporal scaling of the Gaussian pulse\n", "\n", "# Support\n", "dt = t_sim / n_sim # (s) sample duration\n", "t, f = utils.time_frequency_vector(n_sim, dt) # (ps), (THz) Time and frequency vector\n", "\n", "# Generate Gaussian impulse\n", "g_0 = np.sqrt(p_0 * 2**(-((2.0*t.cpu().numpy() / t_0) ** 2.0)))\n", "g_0 = torch.complex(torch.tensor(g_0, dtype=config.dtype), torch.zeros_like(torch.tensor(g_0, dtype=config.dtype)))\n", "G_0 = torch.fft.fftshift(\n", " torch.abs(\n", " dt *\n", " torch.fft.fft(g_0) /\n", " np.sqrt(2 * np.pi)\n", " ) ** 2\n", ")" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": false, "execution": { "iopub.execute_input": "2026-08-06T21:22:24.942159Z", "iopub.status.busy": "2026-08-06T21:22:24.942016Z", "iopub.status.idle": "2026-08-06T21:22:25.171063Z", "shell.execute_reply": "2026-08-06T21:22:25.170360Z" }, "jupyter": { "outputs_hidden": false }, "pycharm": { "name": "#%%\n" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, (ax1, ax2) = plt.subplots(2, 1)\n", "\n", "ax1.plot(t.cpu().numpy().flatten(), np.abs(g_0.cpu().numpy().flatten())**2, '-')\n", "ax1.set_xlim(-150, 150)\n", "ax1.set_xlabel(r\"$t$ in (ps)\")\n", "ax1.set_ylabel(r\"$|g(t)|^2$ in (W)\")\n", "ax1.grid()\n", "\n", "ax2.plot(\n", " f.cpu().numpy().flatten(),\n", " (G_0.cpu().numpy().flatten())/np.max(G_0.cpu().numpy().flatten()),\n", " '-')\n", "ax2.set_xlim(-0.015, 0.015)\n", "ax2.set_xlabel(r\"$f-f_c$ in (THz)\")\n", "ax2.set_ylabel(r\"$\\frac{|G(f-f_c)|^2}{|G_\\mathrm{max}|^2}$\")\n", "ax2.grid()\n", "\n", "ax1.legend(['transmitted'])\n", "plt.tight_layout()\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Attenuation\n", "\n", "Attenuation is present in all media including optical fibers. A typical value\n", "of $\\alpha=0.046\\,\\mathrm{km}^{-1}$ is used in this notebook.\n", "To compensate for this, Erbium doped fiber amplifiers (EDFAs) are required, as shown in\n", "the figure at the beginning of this notebook." ] }, { "cell_type": "markdown", "metadata": { "pycharm": { "name": "#%% md\n" } }, "source": [ "## Amplified Spontaneous Emission Noise\n", "\n", "An optical channel model contains several sources of noise, e.g., amplified spontaneous\n", "emission (ASE) and Rayleigh scattering. However, for this experiment, only ASE\n", "noise is implemented. It was shown in [1] that this is the most dominant source of noise.\n", "\n", "As we assume a discrete lumped amplification, ASE noise is introduced only due to the amplification by\n", "the EDFAs. The noise power is given as\n", "\n", "$$P_\\mathrm{ASE}=\\rho_\\mathrm{ASE}\\cdot f_\\text{sim}=\\frac{1}{2}G F h f_\\text{c}\\cdot f_\\mathrm{sim}$$\n", "\n", "and, hence, depends on the gain $G$, the (linear) noise figure $F$, the carrier frequency $f_\\text{c}$,\n", "and the simulation bandwidth $f_\\mathrm{sim}$. The intermediate quantitiy $\\rho_\\mathrm{ASE}$ denotes the noise\n", "spectral density of the EDFAs and $h$ is Planck's constant. Usually, not the simulation bandwidth but the captured\n", "bandwidth $W$ of the receiver is used. Here, for demonstration purpose, our receiver has an infinite\n", "bandwidth that is only limited by the simulation $W=f_\\mathrm{sim}$.\n", "\n", "**Note** that Sionna also provides ideally distributed Raman amplification, where the noise is introduced in\n", "a fiber span. This can be enabled by setting `with_amplification` to `True` when instantiating the `SSFM` layer." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Channel Configuration" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The fiber (i.e., *SSFM*) is implemented using normalized units for distance and time.\n", "Hence, it is required that the units of the same kind (time, distance, power) for all\n", "parameters ($\\alpha$, $\\beta_2$, ...) have to be given with the same unit prefix,\n", "e.g., for time use always $\\mathrm{ps}$. This does not only simplify the usage of the SSFM but also prevents from dealing with different\n", "orders of magnitude within the SSFM.\n", "\n", "For our first experiment only ASE noise is considered and, thus, nonlinearity and chromatic dispersion (CD) are disabled.\n", "Attenuation is kept enabled such that the amplifiers are required and introduce the noise.\n", "The gain is chosen such that the link becomes transparent (input power equals output power)." ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": false, "execution": { "iopub.execute_input": "2026-08-06T21:22:25.173495Z", "iopub.status.busy": "2026-08-06T21:22:25.173358Z", "iopub.status.idle": "2026-08-06T21:22:25.176310Z", "shell.execute_reply": "2026-08-06T21:22:25.175740Z" }, "jupyter": { "outputs_hidden": false }, "pycharm": { "name": "#%%\n" } }, "outputs": [], "source": [ "# Normalization\n", "t_norm = 1e-12 # (s) -> (ps) Time normalization\n", "z_norm = 1e3 # (m) -> (km) Distance normalization\n", "\n", "# Fiber parameters\n", "f_c = 193.55e12 # (Hz) Abs. Carrier frequency\n", "length_sp = 80.0 # (km) Norm. fiber span length\n", "alpha = 0.046 # (1/km) Norm. fiber attenuation\n", "\n", "# EDFA parameters\n", "g_edfa = np.exp(alpha * length_sp)\n", "f_edfa = 10**(5/10) # (1) Noise figure" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": false, "execution": { "iopub.execute_input": "2026-08-06T21:22:25.178081Z", "iopub.status.busy": "2026-08-06T21:22:25.177962Z", "iopub.status.idle": "2026-08-06T21:22:25.220417Z", "shell.execute_reply": "2026-08-06T21:22:25.219647Z" }, "jupyter": { "outputs_hidden": false }, "pycharm": { "name": "#%%\n" } }, "outputs": [], "source": [ "span = sionna.phy.channel.optical.SSFM(\n", " alpha=alpha,\n", " f_c=f_c,\n", " length=length_sp,\n", " sample_duration=dt,\n", " with_amplification=False,\n", " with_attenuation=True,\n", " with_dispersion=False,\n", " with_nonlinearity=False,\n", " t_norm=t_norm)\n", "\n", "amplifier = sionna.phy.channel.optical.EDFA(\n", " g=g_edfa,\n", " f=f_edfa,\n", " f_c=f_c,\n", " dt=dt * t_norm # t_norm is in absolute (not normalized) units\n", " )\n", "\n", "def lumped_amplification_channel(inputs):\n", " (u_0) = inputs\n", "\n", " u = u_0\n", " for _ in range(n_span):\n", " u = span(u)\n", " u = amplifier(u)\n", "\n", " return u" ] }, { "cell_type": "markdown", "metadata": { "pycharm": { "name": "#%% md\n" } }, "source": [ "### Transmission\n", "\n", "Next, the impulse is transmitted over the channel and the output is visualized." ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "collapsed": false, "execution": { "iopub.execute_input": "2026-08-06T21:22:25.222759Z", "iopub.status.busy": "2026-08-06T21:22:25.222626Z", "iopub.status.idle": "2026-08-06T21:22:25.314868Z", "shell.execute_reply": "2026-08-06T21:22:25.314050Z" }, "jupyter": { "outputs_hidden": false }, "pycharm": { "name": "#%%\n" } }, "outputs": [], "source": [ "x = g_0\n", "y = lumped_amplification_channel(x)\n", "\n", "X = torch.fft.fftshift(\n", " torch.abs(\n", " dt *\n", " torch.fft.fft(x) /\n", " np.sqrt(2 * np.pi)\n", " ) ** 2\n", ")\n", "\n", "Y = torch.fft.fftshift(\n", " torch.abs(\n", " dt *\n", " torch.fft.fft(y) /\n", " np.sqrt(2 * np.pi)\n", " ) ** 2\n", ")" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "collapsed": false, "execution": { "iopub.execute_input": "2026-08-06T21:22:25.316481Z", "iopub.status.busy": "2026-08-06T21:22:25.316346Z", "iopub.status.idle": "2026-08-06T21:22:25.498854Z", "shell.execute_reply": "2026-08-06T21:22:25.498197Z" }, "jupyter": { "outputs_hidden": false }, "pycharm": { "name": "#%%\n" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, (ax1, ax2) = plt.subplots(2, 1)\n", "\n", "ax1.plot(t.cpu().numpy().flatten(), np.abs(x.cpu().numpy().flatten())**2, '-')\n", "ax1.plot(t.cpu().numpy().flatten(), np.abs(y.cpu().numpy().flatten())**2, '--')\n", "ax1.set_xlim(-150, 150)\n", "ax1.set_xlabel(r\"$t$ in (ps)\")\n", "ax1.set_ylabel(r\"$|g(t)|^2$ in (W)\")\n", "ax1.grid()\n", "\n", "ax2.plot(\n", " f.cpu().numpy().flatten(),\n", " (X.cpu().numpy().flatten())/np.max(X.cpu().numpy().flatten()),\n", " '-')\n", "ax2.plot(\n", " f.cpu().numpy().flatten(),\n", " (Y.cpu().numpy().flatten())/np.max(Y.cpu().numpy().flatten()),\n", " '--')\n", "ax2.set_xlim(-0.015, 0.015)\n", "ax2.set_xlabel(r\"$f-f_c$ in (THz)\")\n", "ax2.set_ylabel(r\"$\\frac{|G(f-f_c)|^2}{|G_\\mathrm{max}|^2}$\")\n", "ax2.grid()\n", "\n", "ax1.legend(['transmitted', 'received'])\n", "plt.tight_layout()\n", "\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": { "pycharm": { "name": "#%% md\n" } }, "source": [ "As can be seen, attenuation is completely compensated by the EDFAs. However, they introduce significant noise.\n" ] }, { "cell_type": "markdown", "metadata": { "pycharm": { "name": "#%% md\n" } }, "source": [ "## Chromatic Dispersion\n", "\n", "After having seen how the noise distorts the original Gaussian impulse, we can now\n", "enable the next linear effect, which is chromatic dispersion (CD). Regarding the nonlinear Schrödinger\n", "equation that describes the propagation of an optical signal, the impact of CD is parametrized\n", "by the group velocity dispersion (GVD) parameter $\\beta_2$, where $\\beta_2=-21.67\\,\\mathrm{ps}^2\\mathrm{km}^{-1}$ is a typical choice.\n", "\n", "### Channel Configuration\n", "\n", "Besides the present parameters we now set $\\beta_2$. For a better understanding of\n", "CD we disable the noise (`EDFA.f = 0`) from the previous section." ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "collapsed": false, "execution": { "iopub.execute_input": "2026-08-06T21:22:25.501052Z", "iopub.status.busy": "2026-08-06T21:22:25.500900Z", "iopub.status.idle": "2026-08-06T21:22:25.503397Z", "shell.execute_reply": "2026-08-06T21:22:25.502765Z" }, "jupyter": { "outputs_hidden": false }, "pycharm": { "name": "#%%\n" } }, "outputs": [], "source": [ "beta_2 = -21.67 # (ps^2/km) Norm. group velocity dispersion" ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "collapsed": false, "execution": { "iopub.execute_input": "2026-08-06T21:22:25.504888Z", "iopub.status.busy": "2026-08-06T21:22:25.504768Z", "iopub.status.idle": "2026-08-06T21:22:25.508867Z", "shell.execute_reply": "2026-08-06T21:22:25.508274Z" }, "jupyter": { "outputs_hidden": false }, "pycharm": { "name": "#%%\n" } }, "outputs": [], "source": [ "span_cd = sionna.phy.channel.optical.SSFM(\n", " alpha=alpha,\n", " beta_2=beta_2,\n", " f_c=f_c,\n", " length=length_sp,\n", " sample_duration=dt,\n", " with_amplification=False,\n", " with_attenuation=True,\n", " with_dispersion=True,\n", " with_nonlinearity=False,\n", " t_norm=t_norm)\n", "\n", "amplifier_cd = sionna.phy.channel.optical.EDFA(\n", " g=g_edfa,\n", " f=0,\n", " f_c=f_c,\n", " dt=dt * t_norm)\n", "\n", "\n", "def lumped_amplification_channel_cd(inputs):\n", " (u_0) = inputs\n", "\n", " u = u_0\n", " for _ in range(n_span):\n", " u = span_cd(u)\n", " u = amplifier_cd(u)\n", "\n", " return u" ] }, { "cell_type": "markdown", "metadata": { "pycharm": { "name": "#%% md\n" } }, "source": [ "### Transmission\n", "\n", "We now transmit the previously generated Gaussian impulse over the optical fiber and compare the received signal with the transmitted impulse.\n" ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "collapsed": false, "execution": { "iopub.execute_input": "2026-08-06T21:22:25.510406Z", "iopub.status.busy": "2026-08-06T21:22:25.510282Z", "iopub.status.idle": "2026-08-06T21:22:25.519040Z", "shell.execute_reply": "2026-08-06T21:22:25.518463Z" }, "jupyter": { "outputs_hidden": false }, "pycharm": { "name": "#%%\n" } }, "outputs": [], "source": [ "x = g_0 # previously generated Gaussian impulse\n", "y = lumped_amplification_channel_cd(x)\n", "\n", "X = torch.fft.fftshift(\n", " torch.abs(\n", " dt *\n", " torch.fft.fft(x) /\n", " np.sqrt(2 * np.pi)\n", " ) ** 2\n", ")\n", "\n", "Y = torch.fft.fftshift(\n", " torch.abs(\n", " dt *\n", " torch.fft.fft(y) /\n", " np.sqrt(2 * np.pi)\n", " ) ** 2\n", ")\n", "\n", "X_angle = torch.angle(torch.fft.fftshift(torch.fft.fft(x)))\n", "Y_angle = torch.angle(torch.fft.fftshift(torch.fft.fft(y)))" ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "collapsed": false, "execution": { "iopub.execute_input": "2026-08-06T21:22:25.520539Z", "iopub.status.busy": "2026-08-06T21:22:25.520422Z", "iopub.status.idle": "2026-08-06T21:22:25.875423Z", "shell.execute_reply": "2026-08-06T21:22:25.874777Z" }, "jupyter": { "outputs_hidden": false }, "pycharm": { "name": "#%%\n" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, (ax1, ax2) = plt.subplots(2, 1)\n", "\n", "ax1.plot(t.cpu().numpy().flatten(), np.abs(x.cpu().numpy().flatten())**2, '-')\n", "ax1.plot(t.cpu().numpy().flatten(), np.abs(y.cpu().numpy().flatten())**2, '--')\n", "ax1.set_xlim(-250, 250)\n", "ax1.set_xlabel(r\"$t$ in (ps)\")\n", "ax1.set_ylabel(r\"$|g(t)|^2$ in (W)\")\n", "ax1.grid()\n", "\n", "ax2.plot(\n", " f.cpu().numpy().flatten(),\n", " (X.cpu().numpy().flatten())/np.max(X.cpu().numpy().flatten()),\n", " '-')\n", "ax2.plot(\n", " f.cpu().numpy().flatten(),\n", " (Y.cpu().numpy().flatten())/np.max(Y.cpu().numpy().flatten()),\n", " '--')\n", "ax2.set_xlim(-0.015, 0.015)\n", "ax2.set_xlabel(r\"$f-f_c$ in (THz)\")\n", "ax2.set_ylabel(r\"$\\frac{|G(f-f_c)|^2}{|G_\\mathrm{max}|^2}$\")\n", "ax2.grid()\n", "\n", "ax1.legend(['transmitted', 'received'])\n", "plt.tight_layout()\n", "\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": { "pycharm": { "name": "#%% md\n" } }, "source": [ "Compared to the transmit impulse the received one has significantly broadened in time.\n", "The absolute value of the spectrum, nevertheless, stayed the same.\n", "By plotting the phase of the received signal one can see the typical parabolic shift." ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "collapsed": false, "execution": { "iopub.execute_input": "2026-08-06T21:22:25.877884Z", "iopub.status.busy": "2026-08-06T21:22:25.877746Z", "iopub.status.idle": "2026-08-06T21:22:26.025301Z", "shell.execute_reply": "2026-08-06T21:22:26.024443Z" }, "jupyter": { "outputs_hidden": false }, "pycharm": { "name": "#%%\n" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, (ax1) = plt.subplots(1, 1, tight_layout=True)\n", "\n", "ax1.plot(t.cpu().numpy().flatten(), np.angle(x.cpu().numpy().flatten()), '-')\n", "ax1.plot(t.cpu().numpy().flatten(), np.angle(y.cpu().numpy().flatten()), '--')\n", "ax1.set_xlim(-750, 750)\n", "ax1.set_xlabel(r\"$t$ in (ps)\")\n", "ax1.set_ylabel(\"$\\u2220 x(t), \\u2220 y(t)$\")\n", "ax1.grid()\n", "\n", "ax1.legend(['transmitted', 'received'])\n", "plt.tight_layout()\n", "\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Kerr Nonlinearity\n", "\n", "Last, we depict the Kerr nonlinearity and, for a better understanding, disable all previous impairments.\n", "This nonlinear effect applies a phase shift to the transmitted signal depending on its\n", "instantaneous power. Hence, we should see a phase that, in contrast to the phase of the original signal which is zero, follows the (inverse) absolute value of the impulse.\n", "\n", "**Note:** Only the interaction between Kerr nonlinearity and CD requires an\n", "SSFM for fiber simulation. Otherwise (as done so far), the transfer function\n", "of the individual effect is just a single multiplication (in time- or Fourier-domain,\n", "respectively).\n", "\n", "### Channel configuration\n", "\n", "Similarly to the definition of CD, we specify a typical value for $\\gamma=1.27\\,\\mathrm{\\frac{1}{km W}}$." ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "collapsed": false, "execution": { "iopub.execute_input": "2026-08-06T21:22:26.027752Z", "iopub.status.busy": "2026-08-06T21:22:26.027600Z", "iopub.status.idle": "2026-08-06T21:22:26.029966Z", "shell.execute_reply": "2026-08-06T21:22:26.029308Z" }, "jupyter": { "outputs_hidden": false }, "pycharm": { "name": "#%%\n" } }, "outputs": [], "source": [ "gamma = 1.27 # (1/W/km) Nonlinearity coefficient" ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "collapsed": false, "execution": { "iopub.execute_input": "2026-08-06T21:22:26.031581Z", "iopub.status.busy": "2026-08-06T21:22:26.031461Z", "iopub.status.idle": "2026-08-06T21:22:26.035671Z", "shell.execute_reply": "2026-08-06T21:22:26.035116Z" }, "jupyter": { "outputs_hidden": false }, "pycharm": { "name": "#%%\n" } }, "outputs": [], "source": [ "span_nl = sionna.phy.channel.optical.SSFM(\n", " alpha=alpha,\n", " beta_2=beta_2,\n", " f_c=f_c,\n", " length=length_sp,\n", " sample_duration=dt,\n", " with_amplification=False,\n", " with_attenuation=True,\n", " with_dispersion=False,\n", " with_nonlinearity=True,\n", " t_norm=t_norm)\n", "\n", "amplifier_nl = sionna.phy.channel.optical.EDFA(\n", " g=g_edfa,\n", " f=0,\n", " f_c=f_c,\n", " dt=dt * t_norm)\n", "\n", "\n", "def lumped_amplification_channel_nl(inputs):\n", " (u_0) = inputs\n", "\n", " u = u_0\n", " for _ in range(n_span):\n", " u = span_nl(u)\n", " u = amplifier_nl(u)\n", "\n", " return u" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Transmission\n", "\n", "We now transmit the same Gaussian impulse again over the optical fiber where only Kerr nonlinearity is activated.\n" ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "collapsed": false, "execution": { "iopub.execute_input": "2026-08-06T21:22:26.037716Z", "iopub.status.busy": "2026-08-06T21:22:26.037596Z", "iopub.status.idle": "2026-08-06T21:22:26.043138Z", "shell.execute_reply": "2026-08-06T21:22:26.042553Z" }, "jupyter": { "outputs_hidden": false }, "pycharm": { "name": "#%%\n" } }, "outputs": [], "source": [ "x = g_0\n", "y = lumped_amplification_channel_nl(x)\n", "\n", "X = torch.fft.fftshift(\n", " torch.abs(\n", " dt *\n", " torch.fft.fft(x) /\n", " np.sqrt(2 * np.pi)\n", " ) ** 2\n", ")\n", "\n", "Y = torch.fft.fftshift(\n", " torch.abs(\n", " dt *\n", " torch.fft.fft(y) /\n", " np.sqrt(2 * np.pi)\n", " ) ** 2\n", ")\n", "\n", "X_angle = torch.angle(torch.fft.fftshift(torch.fft.fft(x)))\n", "Y_angle = torch.angle(torch.fft.fftshift(torch.fft.fft(y)))" ] }, { "cell_type": "code", "execution_count": 17, "metadata": { "collapsed": false, "execution": { "iopub.execute_input": "2026-08-06T21:22:26.045141Z", "iopub.status.busy": "2026-08-06T21:22:26.045004Z", "iopub.status.idle": "2026-08-06T21:22:26.222781Z", "shell.execute_reply": "2026-08-06T21:22:26.221900Z" }, "jupyter": { "outputs_hidden": false }, "pycharm": { "name": "#%%\n" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, (ax1, ax2) = plt.subplots(2, 1)\n", "\n", "ax1.plot(t.cpu().numpy().flatten(), np.abs(x.cpu().numpy().flatten())**2, '-')\n", "ax1.plot(t.cpu().numpy().flatten(), np.abs(y.cpu().numpy().flatten())**2, '--')\n", "ax1.set_xlim(-150, 150)\n", "ax1.set_xlabel(r\"$t$ in (ps)\")\n", "ax1.set_ylabel(\"$\\u2220 x(t), \\u2220 y(t)$\")\n", "ax1.grid()\n", "\n", "ax2.plot(\n", " f.cpu().numpy().flatten(),\n", " (X.cpu().numpy().flatten())/np.max(X.cpu().numpy().flatten()),\n", " '-')\n", "ax2.plot(\n", " f.cpu().numpy().flatten(),\n", " (Y.cpu().numpy().flatten())/np.max(Y.cpu().numpy().flatten()),\n", " '--')\n", "ax2.set_xlim(-0.015, 0.015)\n", "ax2.set_xlabel(r\"$f-f_c$ in (THz)\")\n", "ax2.set_ylabel(r\"$\\frac{|G(f-f_c)|^2}{|G_\\mathrm{max}|^2}$\")\n", "ax2.grid()\n", "\n", "ax1.legend(['transmitted', 'received'])\n", "plt.tight_layout()\n", "\n", "\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": { "pycharm": { "name": "#%% md\n" } }, "source": [ "As shown in the previous plot the (isolated) Kerr nonlinearity does not affect the\n", "absolute value of the signal's amplitude but only shifts the phase (see below).\n", "\n", "Further, the bandwidth of the transmit signal was slightly increased.\n", "\n", "**Hint**: Increasing the peak power $p_0$ of the transmitted impuls increases the impact of the Kerr nonlinearity.\n" ] }, { "cell_type": "code", "execution_count": 18, "metadata": { "collapsed": false, "execution": { "iopub.execute_input": "2026-08-06T21:22:26.224649Z", "iopub.status.busy": "2026-08-06T21:22:26.224517Z", "iopub.status.idle": "2026-08-06T21:22:26.347751Z", "shell.execute_reply": "2026-08-06T21:22:26.346933Z" }, "jupyter": { "outputs_hidden": false }, "pycharm": { "name": "#%%\n" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, (ax1) = plt.subplots(1, 1, tight_layout=True)\n", "\n", "ax1.plot(t.cpu().numpy().flatten(), np.angle(x.cpu().numpy().flatten()), '-')\n", "ax1.plot(t.cpu().numpy().flatten(), np.angle(y.cpu().numpy().flatten()), '--')\n", "ax1.set_xlim(-750, 750)\n", "ax1.set_xlabel(\"$t$ in (ps)\")\n", "ax1.set_ylabel(\"$\\u2220 x(t), \\u2220 y(t)$\")\n", "ax1.grid()\n", "\n", "ax1.legend(['transmitted', 'received'])\n", "plt.tight_layout()\n", "\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": { "pycharm": { "name": "#%% md\n" } }, "source": [ "## Split-Step Fourier Method\n", "\n", "Last, we perform the true SSFM to simulate the impairments (ASE noise, CD, and Kerr\n", "nonlinearity) jointly.\n", "\n", "### Channel Configuration\n", "\n", "Keeping the former configuration, we only have to increase the number of SSFM simulation steps." ] }, { "cell_type": "code", "execution_count": 19, "metadata": { "collapsed": false, "execution": { "iopub.execute_input": "2026-08-06T21:22:26.349776Z", "iopub.status.busy": "2026-08-06T21:22:26.349642Z", "iopub.status.idle": "2026-08-06T21:22:26.352061Z", "shell.execute_reply": "2026-08-06T21:22:26.351461Z" }, "jupyter": { "outputs_hidden": false }, "pycharm": { "name": "#%%\n" } }, "outputs": [], "source": [ "n_ssfm = 160 # number of SSFM simulation steps" ] }, { "cell_type": "code", "execution_count": 20, "metadata": { "collapsed": false, "execution": { "iopub.execute_input": "2026-08-06T21:22:26.353982Z", "iopub.status.busy": "2026-08-06T21:22:26.353856Z", "iopub.status.idle": "2026-08-06T21:22:26.358172Z", "shell.execute_reply": "2026-08-06T21:22:26.357387Z" }, "jupyter": { "outputs_hidden": false }, "pycharm": { "name": "#%%\n" } }, "outputs": [], "source": [ "span_ssfm = sionna.phy.channel.optical.SSFM(\n", " alpha=alpha,\n", " beta_2=beta_2,\n", " gamma=gamma,\n", " f_c=f_c,\n", " length=length_sp,\n", " sample_duration=dt,\n", " n_ssfm=n_ssfm,\n", " with_amplification=False,\n", " with_attenuation=True,\n", " with_dispersion=True,\n", " with_nonlinearity=True,\n", " t_norm=t_norm)\n", "\n", "amplifier_ssfm = sionna.phy.channel.optical.EDFA(\n", " g=g_edfa,\n", " f=0,\n", " f_c=f_c,\n", " dt=dt * t_norm)\n", "\n", "def lumped_amplification_channel_ssfm(inputs):\n", " u_0 = inputs\n", "\n", " u = u_0\n", " for _ in range(1):\n", " u = span_ssfm(u)\n", " u = amplifier_ssfm(u)\n", "\n", " return u" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Transmission\n", "\n", "We transmit the Gaussian impulse over the optical fiber. However, we have now enabled ASE noise, CD, and Kerr\n", "nonlinearity." ] }, { "cell_type": "code", "execution_count": 21, "metadata": { "collapsed": false, "execution": { "iopub.execute_input": "2026-08-06T21:22:26.359785Z", "iopub.status.busy": "2026-08-06T21:22:26.359671Z", "iopub.status.idle": "2026-08-06T21:22:26.414392Z", "shell.execute_reply": "2026-08-06T21:22:26.413748Z" }, "jupyter": { "outputs_hidden": false }, "pycharm": { "name": "#%%\n" } }, "outputs": [], "source": [ "x = g_0\n", "y = lumped_amplification_channel_ssfm(x)\n", "\n", "X = torch.fft.fftshift(\n", " torch.abs(\n", " dt *\n", " torch.fft.fft(x) /\n", " np.sqrt(2 * np.pi)\n", " ) ** 2\n", ")\n", "\n", "Y = torch.fft.fftshift(\n", " torch.abs(\n", " dt *\n", " torch.fft.fft(y) /\n", " np.sqrt(2 * np.pi)\n", " ) ** 2\n", ")\n", "\n", "X_angle = torch.angle(torch.fft.fftshift(torch.fft.fft(x)))\n", "Y_angle = torch.angle(torch.fft.fftshift(torch.fft.fft(y)))" ] }, { "cell_type": "code", "execution_count": 22, "metadata": { "collapsed": false, "execution": { "iopub.execute_input": "2026-08-06T21:22:26.416560Z", "iopub.status.busy": "2026-08-06T21:22:26.416437Z", "iopub.status.idle": "2026-08-06T21:22:26.593765Z", "shell.execute_reply": "2026-08-06T21:22:26.593057Z" }, "jupyter": { "outputs_hidden": false }, "pycharm": { "name": "#%%\n" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, (ax1, ax2) = plt.subplots(2, 1)\n", "\n", "ax1.plot(t.cpu().numpy().flatten(), np.abs(x.cpu().numpy().flatten())**2, '-')\n", "ax1.plot(t.cpu().numpy().flatten(), np.abs(y.cpu().numpy().flatten())**2, '--')\n", "ax1.set_xlim(-150, 150)\n", "ax1.set_xlabel(r\"$t$ in (ps)\")\n", "ax1.set_ylabel(r\"$|g(t)|^2$ in (W)\")\n", "ax1.grid()\n", "\n", "ax2.plot(\n", " f.cpu().numpy().flatten(),\n", " (X.cpu().numpy().flatten()/np.max(X.cpu().numpy().flatten())),\n", " '-')\n", "ax2.plot(\n", " f.cpu().numpy().flatten(),\n", " (Y.cpu().numpy().flatten()/np.max(Y.cpu().numpy().flatten())),\n", " '--')\n", "ax2.set_xlim(-0.015, 0.015)\n", "ax2.set_xlabel(r\"$f-f_c$ in (THz)\")\n", "ax2.set_ylabel(r\"$\\frac{|G(f-f_c)|^2}{|G_\\mathrm{max}|^2}$\")\n", "ax2.grid()\n", "\n", "ax1.legend(['transmitted', 'received'])\n", "plt.tight_layout()\n", "\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 23, "metadata": { "collapsed": false, "execution": { "iopub.execute_input": "2026-08-06T21:22:26.596180Z", "iopub.status.busy": "2026-08-06T21:22:26.596042Z", "iopub.status.idle": "2026-08-06T21:22:26.746516Z", "shell.execute_reply": "2026-08-06T21:22:26.745660Z" }, "jupyter": { "outputs_hidden": false }, "pycharm": { "name": "#%%\n" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, (ax1) = plt.subplots(1, 1, tight_layout=True)\n", "\n", "ax1.plot(t.cpu().numpy().flatten(), np.angle(x.cpu().numpy().flatten()), '-')\n", "ax1.plot(t.cpu().numpy().flatten(), np.angle(y.cpu().numpy().flatten()), '--')\n", "ax1.set_xlim(-500, 500)\n", "ax1.set_xlabel(\"$t$ in (ps)\")\n", "ax1.set_ylabel(\"$\\u2220 x(t), \\u2220 y(t)$\")\n", "ax1.grid()\n", "\n", "ax1.legend(['transmitted', 'received'])\n", "plt.tight_layout()\n", "\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": { "pycharm": { "name": "#%% md\n" } }, "source": [ "The most interesting observation that one can make here is that the\n", "spectrum of the received signal is compressed. This is in contrast\n", "to the expected Kerr nonlinearity-induced spectral broadening, and shows\n", "that joint application of the fiber effects may result in completely\n", "different observations compared to the isolated investigation.\n", "\n", "What we can see here, however, is that the Gaussian input impulse is\n", "transformed to a higher-order Soliton during propagation. Those require\n", "a joint CD and Kerr nonlinearity to exist.\n" ] }, { "cell_type": "markdown", "metadata": { "pycharm": { "name": "#%% md\n" } }, "source": [ "## References\n", "\n", "[1] René-Jean Essiambre, Gerhard Kramer, Peter J. Winzer, Gerard J. Foschini, and Bernhard Goebel.\n", "„Capacity Limits of Optical Fiber Networks“. Journal of Lightwave Technology 28, Nr. 4, pp 662–701, February 2010.\n", "\n", "\n" ] } ], "metadata": { "kernelspec": { "display_name": ".venv", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.12.12" } }, "nbformat": 4, "nbformat_minor": 4 }