Modeling the microwave properties of superconductors
Abstract
A macroscopic phenomenological model for the microwave properties of superconductors is presented. The model is based on the idea that there are two kinds of current carriers, and instead of the first London's equation a new equation is derived. This model can be applied to both low and hightemperature superconductors. Using this model, an expression for the microwave surface resistance is derived and the surface resistance versus frequency is calculated. The results show that the relation between resistance and frequency is not R(sub s) to approximately omega(exp 2) as indicated by both BCS theory and London model, but R(sub s) to approximately omega(exp a), where a is between 1 and 2 (e.g. a = 1.35) for thin film highT(sub c) superconductors YBa2Cu3O(7delta). The temperature dependence of R(sub s) is simulated using the given model. These relations and the values of the surface resistance agree well with experimental results. A residual resistance may be interpreted from this model.
 Publication:

IEEE Transactions on Microwave Theory Techniques
 Pub Date:
 May 1995
 DOI:
 10.1109/22.382065
 Bibcode:
 1995ITMTT..43.1053M
 Keywords:

 Charge Carriers;
 Electrical Resistance;
 Mathematical Models;
 Microwaves;
 Superconductors (Materials);
 Electric Current;
 Superconducting Films;
 Surface Properties;
 Temperature Dependence;
 Two Fluid Models;
 Electronics and Electrical Engineering