Final answer:
To find the time-average power density radiated by a dipole antenna, one would typically calculate using classical electromagnetics equations and perform numerical integration and plotting in MATLAB. The specific steps include defining the current distribution, calculating the vector potential and magnetic field, and using these to compute and integrate the Poynting vector over a spherical surface, followed by plotting the radiation pattern.
Step-by-step explanation:
To find the time-average power density radiated by a dipole antenna with length L = 5λ/2, we would rely on the classical dipole radiation equations to calculate this. However, as this question specifically requests the use of MATLAB to calculate an integral and plot the radiation pattern, we would need to implement the numerical integration in MATLAB using the 'integral' function, and for plotting, we could use the 'polarplot' or 'plot' functions depending on the desired representation. The exact MATLAB code would depend on the provided or assumed current distribution along the dipole.
Since the question requires MATLAB code, which cannot be executed here, I will describe the steps that would typically be followed:
- Define the current distribution along the length of the dipole.
- Calculate the vector potential A and the magnetic field B.
- Use these to compute the Poynting vector to find the power density (S).
- Integrate S over a spherical surface to find the total radiated power (P).
- Divide P by the area of the surface to obtain average power density.
- Plot the radiation pattern using MATLAB plotting functions.
The intensity, peak electric field strength, and peak magnetic field strength mentioned in the question refer to different concepts related to electromagnetic waves and would be calculated separately using appropriate formulas from electromagnetics theory.