Radiation field of a periodic strip grating excited by an aperiodic line source

The excitation by an aperiodic magnetic line source of a periodic strip grating backed by a perfectly conducting plane is studied. The original problem is transformed into a problem of periodic excitation and then solved by reduction to a modified Riemann-Hilbert problem. The radiation field is calculated and interpreted in terms of the solutions of the modal equation of the structure. The numerical results confirm the possible application of this structure in the design of a leaky-wave antenna.