{ "cells": [ { "cell_type": "markdown", "id": "142e590d-9a13-4952-9772-31ddb054f362", "metadata": {}, "source": [ "## Simulating the SASE Spectrum\n", "\n", "**Input Parameters:**\n", "- $\\omega$: Frequency domain array, **specified by the user**.\n", "- $\\bar{I}(\\omega)$: Measured average spectrum, **specified by the user**.\n", "- $F_0(t)$: Temporal filtering function, **specified by the user** based on expected pulse shapes (e.g., Gaussian if not otherwise indicated).\n", "- `duration`: Duration of the FEL pulse, **specified by the user** to define the width of $F_0(t)$.\n", "\n", "**Output:**\n", "- $E_f(t)$: Simulated temporal electric field after applying temporal filtering.\n", "\n", "**Steps:**\n", "\n", "1. **Define Initial Spectrum:**\n", " - For each frequency $\\omega_i$ in the frequency domain array $\\omega$:\n", " - Calculate $A_0(\\omega_i) = \\sqrt{\\bar{I}(\\omega_i)}$ to obtain the amplitude from the measured spectrum.\n", " - Generate a random phase $\\phi_0(\\omega_i)$ uniformly distributed between $-\\pi$ and $\\pi$. These phases are randomly generated within the algorithm to mimic the stochastic nature of real pulses.\n", " - Define the initial complex spectrum $E_0(\\omega) = A_0(\\omega) \\cdot \\exp(i \\cdot \\phi_0(\\omega))$.\n", "\n", "2. **Fourier Transform to Time Domain:**\n", " - Compute the inverse Fourier transform of $E_0(\\omega)$ to convert it from the frequency domain to the time domain. This results in $E_0(t)$, where the Fourier transform calculations are handled by a numerical library (e.g., FFT functions in Python).\n", "\n", "3. **Apply Temporal Filtering:**\n", " - The temporal filtering function $F_0(t)$ uses the `duration` to scale its width, typically matching the known or expected FWHM of the pulse.\n", " - Multiply $E_0(t)$ by $F_0(t)$ to obtain the filtered temporal field $F(t) = E_0(t) \\cdot F_0(t)$, where the multiplication is element-wise across the time domain signal.\n", "\n", "4. **Final Temporal Electric Field:**\n", " - The final temporal electric field $E_f(t)$ is calculated as $F(t)$, which represents the electric field of the FEL pulse after applying the temporal characteristics of the pulse via the filtering process.\n", "\n", "5. **Normalization (Optional):**\n", " - If normalization is required (for example, to ensure the total power is consistent between simulations), adjust $E_f(t)$ accordingly. This might involve scaling $E_f(t)$ so that the integral over its squared magnitude equals one.\n", "\n", "6. **Repeat for Different Pulses (if required):**\n", " - To simulate multiple pulses, especially in scenarios where stochastic variation is significant (e.g., in an experimental setting), repeat steps 1-5 for each pulse, generating new random phases for each simulation.\n", "\n", "This algorithm provides a comprehensive framework for simulating the temporal electric field of an FEL pulse, incorporating essential physical characteristics such as random phase noise and temporal filtering. By allowing for user specifications and built-in calculations, it offers flexibility and precision suited for advanced photonics research and development.\n" ] }, { "cell_type": "code", "execution_count": 2, "id": "927512c6-680b-4ebb-9310-892ff43e4608", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import numpy as np\n", "from phenom.spectrum import linear_SASE_spectrum\n", "# Example usage with plotting enabled\n", "t = np.linspace(-25e-15, 25e-15, 1500)\n", "spectrum = linear_SASE_spectrum(t, pulse_duration=5e-15, photon_energy=9500, bandwidth=1e-12, plot=True)" ] }, { "cell_type": "markdown", "id": "88f9a350-2c44-44d2-89d5-73166bf467f1", "metadata": {}, "source": [ "### " ] }, { "cell_type": "code", "execution_count": null, "id": "ad47e083-89eb-4dc2-a254-989135f4b218", "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "Python 3 (Spyder)", "language": "python3", "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": "3.8.17" } }, "nbformat": 4, "nbformat_minor": 5 }