Modeling the Determination of Wavelength Using a Diffraction Grating in Python

Abstract

To model a laboratory experiment for determining the wavelength of light using a diffraction grating in Python, it is proposed to use the libraries numpy, matplotlib, and ipywidgets. A simulation is created to model the positions of maxima on the screen. The developed code can be run in an environment that supports ipywidgets, such as Jupyter Notebook, to obtain an interactive simulation for determining the wavelength of light using a diffraction grating. The code includes the following steps: 1. Import the necessary libraries: numpy for numerical calculations, matplotlib for plotting graphs, ipywidgets for creating interactive widgets. 2. Define constants: d - the distance between the slits of the diffraction grating, L - the distance from the grating to the screen. 3. Create the function calculate_maxima to calculate the positions of the maxima. 4. Create the function plot_diffraction_pattern to plot the diffraction pattern. 5. Create interactive widgets: wavelength_slider to change the wavelength of light, order_max_slider to change the maximum order of the interference maxima. 6. Run the interactive simulation, which allows parameters to be adjusted and results to be observed in real-time.