The dielectric leaky-wave antenna considered here consists of multiple
dielectric layers above a ground plane, with a simple source such as
a dipole inside the layers. The layers act as a guiding structure for
the radiating leaky wave field, which propagates radially outward from
the dipole source. Such an antenna may produce either a broadside bea
m or a scanned conical beam, depending on the chosen scan angle. For t
he practical case of a finite-size aperture, the radiation pattern is
determined by integration of the tangential fields over the aperture.
For narrow-beam structures the leaky-wave field on the aperture may ex
tend to large distances, and hence it is important to have an efficien
t calculation of the radiation pattern for such cases. It is shown her
e how to efficiently calculate the radiation pattern for a dielectric
leaky-wave antenna having a finite-size aperture that is either circul
ar or rectangular in shape. The derived formulas apply for a dipole so
urce inside any type of dielectric layer structure, and thus include t
he usual case of a microstrip antenna element on a single layer, as we
ll as the more specific leaky-wave antenna structure considered here.