Phase-Locked Oscillator Optimization for Arrays of Josephson Junctions
Phase-Locked Oscillator Optimization for Arrays of Josephson Junctions
复制标题
约瑟夫森结阵列的锁相振荡器优化
DOI：
10.1063/1.357387
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发表时间：
1994
影响因子：
3.2
通讯作者：
P. Booi
中科院分区：
文献类型：
--
作者：
K. Wiesenfeld;S. Benz;P. Booi
概述了相同约瑟夫森结的二维（2D）阵列中的相位锁定。一般的设计标准进行了讨论，优化的功率和线宽。一个谐波平衡技术是用来推导出一个解析表达式的基本功率作为偏置电压的函数，为一个单一的并联隧道结与外部分流电阻具有寄生电感。在没有任何外部负载的情况下，对2D阵列的同相状态进行线性稳定性分析。2D阵列中的大多数激励模式都被衰减，从而导致每行内平行结之间的稳定相位锁定;然而，在理论模型中，没有发现阵列固有的机制可以诱导结行之间的相位锁定。这些计算的结果及其对锁相约瑟夫森振荡器设计的影响和相关性进行了讨论。
An overview of phase locking in two‐dimensional (2D) arrays of identical Josephson junctions is presented. General design criteria are discussed for optimization of power and linewidth. A harmonic balance technique is used to derive an analytic expression for the fundamental power as a function of bias voltage for a single shunted tunnel junction with an external shunt resistor having parasitic inductance. A linear stability analysis is performed on the in‐phase state of 2D arrays in the absence of any external load. Most excitation modes in the 2D array are damped, leading to stable phase locking between parallel junctions within each row; however, within the theoretical model, no mechanisms intrinsic to the array were found to induce phase locking between rows of junctions. The results of these calculations and their impact on and relevance to the design of phase‐locked Josephson oscillators are discussed.