This paper studies the scattering of a plane wave by an active corrugated structure in which each slot region is connected to a microwave solid-state amplifier. Consequently, not only are we able to control the phase of the reflected wave but also its power gain. An exact solution to this problem has been obtained by the residue calculus method under the assumption that only the TEM wave propagates and is amplified in the slot region. Numerical results are presented for illustrating the scattering properties as a function of the slot dimension and the amplifier gain. An approximate but much simplified analytical expression for the reflection coefficient is derived and it should be found useful in other scattering problems (such as the design of a reflector antenna) by the ray-tracing method. A related problem of surface wave propagation on the active corrugated structure and its potential application as a high-power amplifier are also discussed.
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