Plotting the directivity of a dipole antenna involves visualizing the directivity pattern in three-dimensional space. The directivity pattern describes the radiation intensity of the antenna as a function of the direction of propagation.
In the case of a dipole antenna, the directivity function is typically expressed as:
D = 1.67 × sin³(θ)
where D represents the directivity and θ is the angle measured from the axis of the dipole. To plot the directivity pattern, you can follow these steps:
Choose the range of angles over which you want to plot the directivity pattern. Typically, this range spans from -90 degrees to 90 degrees, covering the full sphere around the dipole.
Divide the chosen range of angles into a set of discrete points. The number of points depends on the level of detail you desire in the plot. For example, you can choose to have 360 points to represent each degree or select a smaller number of points for a less detailed plot.
For each angle θ, calculate the corresponding directivity D using the formula D = 1.67 × sin³(θ).
Plot the directivity values on a three-dimensional graph, with the angle θ on the x-axis, the directivity D on the y-axis, and the z-axis representing the radiation intensity. You can use software like MATLAB, Python's Matplotlib library, or any other graphing tool to create the plot.
Connect the data points with smooth curves to form the directivity pattern. This pattern represents the radiation intensity of the dipole antenna in different directions.
Optionally, you can add labels to the axes and a title to the plot to enhance clarity and understanding.
By following these steps, you should be able to plot the directivity pattern of a dipole antenna using the given formula.