To evaluate cavity resonance modes in terahertz-wave oscillators using intrinsic Josephson junction stacks in high-temperature superconductors, an analytical solution of the coupled sine-Gordon equation was obtained by a continuous approximation. For a rectangular stack with a realistic scale, 80
μm wide, 300
μ m long and 1.1
μm (∼700 junctions in the stack) in height,
I-
V characteristics and field distributions were calculated from the solution. Peak structures were appeared in the
I-
V curves and corresponded to cavity resonance modes, which were similar to those in a rectangular waveguide cavity. The maximum peak height was obtained at a bias voltage where the TE
y111 mode at 0.51 terahertz was excited by the ac Josephson effect. The peak height decreased with increasing a radiation conductance that was introduced for including a radiation loss in the calculation. For design of antenna-coupled oscillators, a junction impedance was also evaluated. These results are useful for future improvement of the oscillators using intrinsic junctions.
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