000 02754ntm a22002297a 4500
008 201217b2013 a|||f mb|| 00| 0 eng d
041 0 _aeng
_beng
_bara
082 _a620
100 0 _aHazem Mohamed Mahmoud Abdelhafiz
_9210
245 1 _aResonance Phenomena in Coupled Josephson Junctions
_cHazem Mohamed Mahmoud Abdelhafiz
260 _c2013
300 _a p.
_bill.
_c21 cm.
500 _3Supervisor: Wael Akl
502 _aThesis (M.A.)—Nile University, Egypt, 2013 .
504 _a"Includes bibliographical references"
505 0 _aContents: 2 Theoretical Study 14 2.1 Coupled Superconductors . . . . . . . . . . . . . . . . . . . . . . . . . . . 14 2.2 Electron Tunneling . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 14 2.3 Josephson equations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 20 2.4 The Josephson critical current Ic . . . . . . . . . . . . . . . . . . . . . . . 22 3 Computational methods 24 3.1 Runge-Kutta Methods . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 24 3.1.1 Second-Order method . . . . . . . . . . . . . . . . . . . . . . . . . 24 3.1.2 Fourth-Order Methods . . . . . . . . . . . . . . . . . . . . . . . . . 25 3.2 Models . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 26 3.2.1 Capacitively coupled Josephson junctions (CCJJ) . . . . . . . . . . 26 iii Contents iv 3.2.2 Capacitively coupled Josephson junctions with diffusion current (CCJJ+DC) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 31 3.3 System of equations of IJJ . . . . . . . . . . . . . . . . . . . . . . . . . . . 33 4 Results and Discussion 35 4.1 Charge density wave in IJJ . . . . . . . . . . . . . . . . . . . . . . . . . . 35 4.2 Dynamics of transition LPW → CDW . . . . . . . . . . . . . . . . . . . . 36 4.3 Transformations CDW → CDW . . . . . . . . . . . . . . . . . . . . . . . 37 4.4 Radiation effect on IJJ . . .
520 3 _aAbstract: We demonstrate the creation of a charge density wave (CDW) along a stack of coupled Josephson junctions in layered superconductors. Electric charge in each superconducting layer oscillates around some average value, forming a breathing CDW. We show the transformation of a longitudinal plasma wave to a CDW in the state corresponding to the outermost branch. Transitions between different types of CDW’s, related to the inner branches of current voltage characteristics, are demonstrated. We will show the effect of radiation on the CDW and the appearance of Shapiro steps in the inner branch.
546 _aText in English, abstracts in English and Arabic
655 7 _2NULIB
_aDissertation, Academic
_9187
690 _aNano- Science & Technology
_9199
942 _2ddc
_cTH
999 _c8750
_d8750