1 PHY 712 Electrodynamics 10-10:50 AM MWF Olin 107 Plan for Lecture 33: Special Topics in Electrodynamics: 1.Electromagnetic aspects of superconductivity.

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1 PHY 712 Electrodynamics 10-10:50 AM MWF Olin 107 Plan for Lecture 33: Special Topics in Electrodynamics: 1.Electromagnetic aspects of superconductivity – continued 2.Review – reflection and refraction 04/21/2014PHY 712 Spring Lecture 33

204/21/2014PHY 712 Spring Lecture 33

04/21/2014PHY 712 Spring Lecture 333 Josephson junction -- tunneling current between two superconductors d BzBz x

04/21/2014PHY 712 Spring Lecture 334 Josephson junction -- continued BzBz Supercon left Supercon right Junction d

04/21/2014PHY 712 Spring Lecture 335 Josephson junction -- continued AyAy Supercon left Supercon right Junction d

04/21/2014PHY 712 Spring Lecture 336 Josephson junction -- continued d x LR

04/21/2014PHY 712 Spring Lecture 337 Josephson junction -- continued

04/21/2014PHY 712 Spring Lecture 338 Josephson junction -- continued x LR JLJL JRJR JTJT

04/21/2014PHY 712 Spring Lecture 339 Josephson junction -- continued x LR JLJL JRJR JTJT

04/21/2014PHY 712 Spring Lecture 3310 Josephson junction -- continued x LR JLJL JRJR JTJT

04/21/2014PHY 712 Spring Lecture 3311 Josephson junction -- continued x LR JLJL JRJR JTJT

04/21/2014PHY 712 Spring Lecture 3312 Josephson junction -- continued ITIT   Note: This very sensitive “SQUID” technology has been used in scanning probe techniques. See for example, J. R. Kirtley, Rep. Prog. Physics 73, (2010). SQUID =superconducting quantum interference device

04/21/2014PHY 712 Spring Lecture 3313 Review of reflection and refraction Consider the normal incidence case; 3 media n1n1 n2n2 n3n3 E0E0 E 1R E 2T E 2R E 3T

04/21/2014PHY 712 Spring Lecture 3314 Review of reflection and refraction -- continued Consider the normal incidence case; 3 media n1n1 n2n2 n3n3 E0E0 E 1R E 2T E 2R E 3T Note that in this steady-state formulation, we must match the tangential components of the E and H fields at each boundary d

04/21/2014PHY 712 Spring Lecture 3315 Review of reflection and refraction -- continued Consider the normal incidence case; 3 media n1n1 n2n2 n3n3 E0E0 E 1R E 2T E 2R E 3T d

04/21/2014PHY 712 Spring Lecture 3316 Review of reflection and refraction -- continued Consider the normal incidence case; 3 media n1n1 n2n2 n3n3 E0E0 E 1R E 2T E 2R E 3T d

04/21/2014PHY 712 Spring Lecture 3317 Review of reflection and refraction -- continued n1n1 n2n2 n3n3 E0E0 E 1R E 2T E 2R E 3T d