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import numpy as np
import plotly.graph_objs as go
from plotly.subplots import make_subplots
import streamlit as st
def calculate_wave(wavelength, amplitude, frequency, num_periods, time_step):
k = 2*np.pi/wavelength
omega = 2*np.pi*frequency
period = 1/frequency
time_array = np.arange(0, num_periods*period, time_step)
wave = amplitude * np.sin(k * np.arange(0, 1, wavelength/1000)[:, None] - omega * time_array)
return time_array, wave
def plot_3d_wave(wavelength, amplitude, frequency):
fig = make_subplots(rows=1, cols=2,
specs=[[{'type': 'surface'}, {'type': 'surface'}]],
subplot_titles=('Electric field', 'Magnetic field'),
)
time_step = 1/(100*frequency)
num_periods = 5
time_array, wave = calculate_wave(wavelength, amplitude, frequency, num_periods, time_step)
E_x = wave*np.cos(2*np.pi*time_array*frequency)
E_y = np.zeros_like(E_x)
E_z = np.zeros_like(E_x)
B_x = np.zeros_like(E_x)
B_y = -wave*np.sin(2*np.pi*time_array*frequency)
B_z = np.zeros_like(E_x)
fig.add_trace(go.Surface(x=wave, y=E_x, z=E_y, colorscale='Blues'), row=1, col=1)
fig.add_trace(go.Surface(x=wave, y=B_x, z=B_y, colorscale='Reds'), row=1, col=2)
fig.update_layout(scene_aspectratio=dict(x=1, y=1, z=1), width=800, height=400,
scene=dict(xaxis_title='Wave', yaxis_title='E_x', zaxis_title='E_y'),
scene2=dict(xaxis_title='Wave', yaxis_title='B_x', zaxis_title='B_y'),
)
fig.update_xaxes(range=[0, wavelength], row=1, col=1)
fig.update_xaxes(range=[0, wavelength], row=1, col=2)
fig.update_yaxes(range=[-amplitude, amplitude], row=1, col=1)
fig.update_yaxes(range=[-amplitude, amplitude], row=1, col=2)
fig.update_zaxes(range=[-amplitude, amplitude], row=1, col=1)
fig.update_zaxes(range=[-amplitude, amplitude], row=1, col=2)
return fig
wavelength = st.slider('Wavelength', 0.1, 10.0, 1.0)
amplitude = st.slider('Amplitude', 0.1, 1.0, 0.5)
frequency = st.slider('Frequency', 0.1, 10.0, 1.0)
fig = plot_3d_wave(wavelength, amplitude, frequency)
st.plotly_chart(fig)
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