CHARACTERISTICS IN AN RF SUPERCONDUCTING QUANTUM INTERFERENCE DEVICE AS A FUNCTION OF APPLIED MAGNETIC FLUX : SYSTEMATIC CALCULATIONS Ⅰ

There has been a lot of discussion of characteristics in superconducting quantum interference device (SQUID).However, much less information is available on systematic calculations of these behavior. In this report, we describe various features in a superconducting ring having one Josephson junction. Systematic computer calculations of static behavior of the rf-SQUID have been carried out. The characteristic features depend strongly on a parameter β=(2πLI₀)/Ф₀. where I₀ is a critical current of the junction. L is a self -inductance of the ring and Ф₀ is the flux quantum. In the regime β>1, the quantum states are discrete and the transitions between the quantum states are irreversible. The present work is focused on the correspondence between energy of the system and the characteristics in the rf-SQUID over the range of β= 0.20 to 2π. The results of the calculations are shown in the following No. 2 paper