Band structure and broadband compensation of absorption by amplification in layered optical metamaterials
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The frequency dependence of the gain required to compensate for absorption is determined for a layered structure consisting of alternating absorbing and amplifying layers. It is shown that the fulfillment of the same conditions is required for the existence of a band structure consisting of alternating bands allowed and forbidden for optical radiation propagation in the frequency-wave vector parametric region. Conditions are found under which the gain required for compensation is smaller than thresholds for absolute (parasitic lasing) and convective (waveguide amplification of radiation) instabilities.
KeywordsTransfer Matrix Transmission Coefficient Waveguide Mode Evanescent Wave Convective Instability
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