How to Plot a Complex Exponential Function in Python

In this tutorial, you will learn how to plot a complex exponential function using Python. Python is an excellent language for scientific computing and data analysis due to its capabilities and easy syntax.

It can perform complex mathematical functions and draw plots easily. Primarily, we will be using the NumPy library for mathematical functions and the Matplotlib library for plotting graphs.

Step 1: Install Required Libraries

Before we start, make sure you have installed the NumPy and Matplotlib libraries in your Python environment. If not, use the below commands to install them:

1	pip install numpy matplotlib

Step 2: Import Libraries

First and foremost, we need to import the necessary libraries using Python’s import statement:

1 2	import numpy as np import matplotlib.pyplot as plt

Step 3: Create Complex Numbers

Now, we need to create an array of complex numbers using the NumPy‘s arange function in the form of x + jy where x and y are real numbers:

x_values = np.arange(-5, 5, 0.1)

#Creating complex numbers x+jy

complex_numbers = x_values + 1j*x_values

Step 4: Calculate the Exponential of Complex Numbers

Next, use the exp function of the NumPy library to calculate the exponential of complex numbers:

1	exp_values = np.exp(complex_numbers)

Step 5: Plot the Real and Imaginary Parts

Now, plot the real and imaginary part of the calculated exponential values using the plot function of Matplotlib:

plt.figure()

plt.plot(x_values, exp_values.real, label="Real part")

plt.plot(x_values, exp_values.imag, label="Imaginary part")

plt.legend()

plt.show()

Complete Code

import numpy as np

import matplotlib.pyplot as plt