```python
from pyaedt import Hfss, Desktop
import json
import os

# Set non-graphical mode
Desktop("2021.2", non_graphical=True)

# Download a 3D component
# Assuming the 3D component is downloaded manually or through another script as this step is highly context-specific

# Launch HFSS and save the project with a unique name
hfss = Hfss(specified_version="2021.2", new_desktop_session=True)
hfss.save_project("AntennaArrayProject")

# Read the array definition from a JSON file and load a 3D component into the dictionary
array_definition_file = "array_definition.json"
with open(array_definition_file, "r") as file:
    array_definition = json.load(file)

# Assuming the 3D component path is specified in the JSON file
component_path = array_definition["component_path"]
hfss.modeler.Import3DModel(component_path)

# Set up a simulation and analyze it
hfss.create_setup(name="Setup1")
hfss.create_linear_count_sweep(setupname="Setup1", unit="GHz", freqstart=1, freqstop=10, num_of_freq_points=101)
hfss.analyze_setup("Setup1")

# Get far field data after the simulation completes
far_field_data = hfss.post.get_far_fields()

# Generate a contour plot
hfss.post.create_contour_plot(expression="GainTotal", plottype="Far Fields")

# Generate 2D cutout plots
hfss.post.create_cut_plane_plot(plane="XY", plottype="Far Fields", expression="GainTotal")

# Generate 3D polar plots in Matplotlib
import matplotlib.pyplot as plt
from mpl_toolkits.mplot3d import Axes3D
import numpy as np

theta = np.linspace(0, 2.*np.pi, 100)
phi = np.linspace(0, np.pi, 100)
theta, phi = np.meshgrid(theta, phi)
r = np.abs(np.sin(phi))  # Example data, replace with actual far field data manipulation

x = r * np.sin(phi) * np.cos(theta)
y = r * np.sin(phi) * np.sin(theta)
z = r * np.cos(phi)

fig = plt.figure()
ax = fig.add_subplot(111, projection='3d')
ax.plot_surface(x, y, z, color='b')
plt.show()

# Generate 3D plots in PyVista
import pyvista as pv

mesh = pv.Sphere(radius=1)  # Example, replace with actual data manipulation
plotter = pv.Plotter()
plotter.add_mesh(mesh, color='blue')
plotter.show()

# Release AEDT at the end
hfss.release_desktop()
```