The co (or intended radiation - typically antenna bore sight) is at theta = 0 deg, where as cross is perpendicular to intended radiation where theta = 90 deg.
if you have antenna in the xy plane now you will have phi angle on plane of the antenna and theta perpendicular to the plane of antenna. Open the radiation pattern and you can find co and cross pattern in each plane like xy, xz and yz. Choose any angle like phi =0 or 90 and see the co and cross patterns. You will find that co-planar plots will dominate in each plane and cross patterns have very low values.
First of all you need to visualize the direction of the currents onto the antenna. This directions tell you the direction of the Electric field. Second I recommend you to make a sketch of the E-field direction of your antenna and the cartesian axes (I usually plot the antennas in the XY plane). The phi and theta angles in HFSS are the same used as reference in spherical coordinates. I mean the angle phi starts in the x axis and the angle theta in the z axis. In your sketch I recommend you to plot the E field of the antenna (a vector in the XY plane if you draw your antenna in this plane) and the unitary vectors of theta and phi on the planes phi=0 and phi=90 (provided that your antenna is in the XY plane). Once you do that you quickly realize what is the copolar and crosspolar components.
For example imaging that the E-field of your antenna is in the y direction. If you plot the component phi of the electric field (rEphi) for phi=0 you get the copolar component, however, if you plot the Etheta on the same plane you get the crosspolar one. If you change your phi plane to phi=90 the reverse is true rEphi --> co-polar and rEtheta --> cross-polar
HFSS-> Results->Create Far-Filed report->Radiation pattern(this is for polar plot)->go to familes tab and select phi=90 (for YZ Plane)-> select trace tab->directivity or gain->directivityphi or gainphi (CO)->dB ->newreport. repeat the same steps until directivity or gain then directivitytheta or gaintheta (Cross)->dB->add trace. this will give u the co and cross components on the same polar plot.
NOTE: i am taking YZ plane as E-pane because the antenna that i am using has E-field in the YZ-plane. You can also check the plane of your E-field by plotting the E-field plots.
Thanks for the information given about co and cross polarization. Sir i have a doubt regarding cross polarization. In the following steps, for cross polarization : what i have select in families tab either theta = 90 or phi =90. please address my doubt i am new to this field.
XY-PLANE :Fix Phi(Φ=0), Theta (θ) is varied from -180 degree to +180 degree YZ-PLANE: Fix Phi(Φ= 90), Theta (θ) is Varied from -180 degree to +180 degree XZ-PLANE: Fix Theta(θ=90) , Phi (Φ) is varied from -180 degree to +180 degree
Pachiyannan Muthusamy If you plot your antenna in the (X-Y) plane, so for the XZ-PLANE :Fix Phi(Φ=0), Theta (θ) is varied from -180 degree to +180 degree, and for the YZ-PLANE: Fix Phi(Φ= 90), Theta (θ) is Varied from -180 degree to +180 degree and finally for the XY-PLANE: Fix Theta(θ=90) , Phi (Φ) is varied from -180 degree to +180 degree