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Reduction of modal length using Josephson junction array confined cavity
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Image of FIG. 1.
FIG. 1.

The schematic diagram of (a) a Fabry-Perot interferometer, (b) a conventional TL cavity, and (c) a JJA-cavity. For clarity, the junctions are plotted in blue, the transmission lines (including cavity, segments between junctions and two outside transmission lines) are plotted in brown and the ground line is plotted in black.

Image of FIG. 2.
FIG. 2.

(a) Schematic of a JJA. A unit cell of the JJA consists of a JJ in series with a TL segment. The JJ is modeled as a junction inductor LJ shunted by a pair of CJ and RJ , as in the RCSJ model. (b) Magnitude (top panel) and phase (bottom panel) of reflection coefficient of the JJA. The shaded areas label the transmission window extracted from the calculated band structure of the JJA. The bandgap is large (up to 1 THz), inside which |S 11| is close to unity.

Image of FIG. 3.
FIG. 3.

(a) dFPR of m = 0 as a function of frequency below the bandgap. The shaded area labels the transmission window. (b) Normalized voltage spectrum of the field inside the cavity obtained by the FDTD simulation. (c) Mode patterns of the first four cavity modes obtained by the FDTD simulation. For comparison, the mode patterns are normalized to the maximum value of the first mode pattern. The shaded areas label the cavity region. The thin vertical lines mark the JJ positions where abrupt intensity changes take place due to large Josephson inductance.

Image of FIG. 4.
FIG. 4.

(a) dFPR of m = 0 and m = 1 as a function of frequency in the band gap. The negative part is physically unrealizable. (b) Voltage and current distributions of the cavity mode obtained by FDTD simulation at 73.23 GHz. The shaded areas label the cavity region, and the thin vertical lines indicate the JJ positions.


Generic image for table
Table I.

Parameters of the JJA for the numerical calculation.


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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Reduction of modal length using Josephson junction array confined cavity