PROXIMITY EFFECT - NUMERICAL EVALUATION OF SUPERCONDUCTING TRANSITION TEMPERATURE

De Gennes' equation for the gap parameter in superposed films of normal and superconducting materials have been solved via a numerical technique. This is based upon a variation approach used by Silvert and Cooper. The solution indicates that the approximate analytical procedure used by Werthamer is accurate for thick-dirty films. However, for thinner cleaner films, our solutions leads to improvements as big as 25% over Werthamer's method. This improvement is mainly a result of our better treatment of the behavior of the gap parameter near the interface. © 1968.