Design of an array of stand-alone Bi₂Sr₂CaCu₂O_8+δ intrinsic Josephson junction terahertz emitters suitable for applications.

We modelled the output from an array of two shapes of Bi₂Sr₂CaCu₂O_8+δ (Bi2212) stand-alone mesas.  The two shapes are constructed from a  disk that is first cut into a smaller disk surrounded by an annulus, and then with six straight line cuts through the centroid equally dividing the orginal disk into six congruent pie-shaped wedges and six congruent hexaslitted annuli.  The lowest cavity mode frequencies for both types of  mesas are calculated for various ratios of the inner  ρ_i to outer ρ_o radii  of the annulus.  When the resonant cavity mode frequencies of the two mesa shapes are within 1% of each other, they are considered to be matching.  Then, the uniform and cavity mode output power distributions are calculated, and the shapes of the cavity mode output power distributions at thoses matching frequencies are sufficiently similar, they are considered to be  good candidates for the construction of the desired array.  Such an array of 12 closely positioned stand-alone mesas could have an output power well in excess of 1 mW.