The Alfven-spin and helicon-spin waves are analyzed in both sinusoidal periodic and layered periodic structures. These periodic structures are composed of a single composite medium having the properties of both magnetic and semiconducting materials. Numerical analysis of the dispersion relations presented for these periodic structures shows band-gap effects. The idea of these band-gap effects could be utilized in the design of periodic structures operating at microwave frequencies. Extreme cases for the decoupled independent modes in the absence of magnetization or carriers are also discussed.
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