TY - JOUR
T1 - Shock wave in series connected Josephson transmission line
T2 - Theoretical foundations and effects of resistive elements
AU - Kogan, Eugene
N1 - Publisher Copyright:
© 2021 Author(s).
PY - 2021/7/7
Y1 - 2021/7/7
N2 - We analytically study the shock wave in the Josephson transmission line (JTL) in the presence of ohmic dissipation. When ohmic resistors shunt the Josephson junctions (JJ) or are introduced in series with the ground capacitors, the shock is broadened. When ohmic resistors are in series with the JJ, the shock remains sharp, as it was in the absence of dissipation. In all the cases considered, ohmic resistors do not influence the shock propagation velocity. We study an alternative to the shock wave—an expansion fan—in the framework of the simple wave approximation for the dissipationless JTL and formulate the generalization of the approximation for the JTL with ohmic dissipation.
AB - We analytically study the shock wave in the Josephson transmission line (JTL) in the presence of ohmic dissipation. When ohmic resistors shunt the Josephson junctions (JJ) or are introduced in series with the ground capacitors, the shock is broadened. When ohmic resistors are in series with the JJ, the shock remains sharp, as it was in the absence of dissipation. In all the cases considered, ohmic resistors do not influence the shock propagation velocity. We study an alternative to the shock wave—an expansion fan—in the framework of the simple wave approximation for the dissipationless JTL and formulate the generalization of the approximation for the JTL with ohmic dissipation.
UR - http://www.scopus.com/inward/record.url?scp=85109408543&partnerID=8YFLogxK
U2 - 10.1063/5.0056886
DO - 10.1063/5.0056886
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AN - SCOPUS:85109408543
SN - 0021-8979
VL - 130
JO - Journal of Applied Physics
JF - Journal of Applied Physics
IS - 1
M1 - 013903
ER -