Abstract
The propagation characteristics of a slotline structure under the influence of a static magnetic field have been studied using the model developed by Mark W. Coffey and John R. Clem. The complex valued resistive boundary condition formulated using the Coffey and Clem (CC) model is used to modify the dyadic Green’s function in the spectral domain for the slot transmission line. The propagation characteristics are then calculated using the Galerkin’s procedure. The numerical results are presented for propagation parameters and quality factor for a wide range of applied field, reduced temperature and superconducting layer thickness. The increase of the magnetic field and temperature causes an increase in vortex motion which results in a corresponding change in the propagation parameters and quality factor. The variation in the quality factor with respect to the superconducting strip thickness is explained using vortex effects.
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Chorey, C., Kong, K.S., Bhasin, K., Warner, J., Itoh, T.: Microwave theory and techniques. IEEE Trans. 39(9), 1480 (1991). doi:10.1109/22.83821
Klein, N.: Rep. Prog. Phys. 65(10), 1387 (2002). http://stacks.iop.org/0034-4885/65/i=10/a=201
Itoh, T., Mittra, R.: Microwave theory and techniques. IEEE Trans. 21(7), 496 (1973). doi:10.1109/TMTT.1973.1128044
Itoh, T.: Microwave theory and techniques. IEEE Trans. 22(11), 946 (1974). doi:10.1109/TMTT.1974.1128390
Itoh, T.: Microwave theory and techniques. IEEE Trans. 28(7), 733 (1980). doi:10.1109/TMTT.1980.1130158
Gupta, K.C., Garg, R., Bahl, I.J.: Handbook of superconductivity (1979)
Dykaar, D.R., Sobolewski, R., Chwalek, J.M., Whitaker, J.F., Hsiang, T.Y., Mourou, G.A., Lathrop, D.K., Russek, S.E., Buhrman, R.A.: Appl. Phys. Lett. 52(17), 1444 (1988). doi:10.1063/1.99692
Whitaker, J., Sobolewski, R., Dykaar, D., Hsiang, T., Mourou, G.: Microwave theory and techniques. IEEE Trans. 36(2), 277 (1988). doi:10.1109/22.3516
Nuss, M.C., Mankiewich, P.M., Howard, R.E., Straughn, B.L., Harvey, T.E., Brandle, C.D., Berkstresser, G.W., Goossen, K.W., Smith, P.R.: Appl. Phys. Lett. 54(22), 2265 (1989). doi:10.1063/1.101519
Ekholm, E., McKnight, S.: Microwave theory and techniques. IEEE Trans. 38(4), 387 (1990). doi:10.1109/22.52579
Yoshida, K., Sashiyama, K., Nishioka, S., Shimakage, H., Wang, Z.: Applied superconductivity. IEEE Trans. 9(2), 3905 (1999). doi:10.1109/77.783881
Qiu, R., Lu, I.T.: Microwave theory and techniques. IEEE Trans. 43(6), 1396 (1995). doi:10.1109/22.390203
Remillard, S., Radzikowski, P., Cordone, S., Applegate, D., Mehrotra, A., Kokales, J., Abdelmonem, A.: Microwave and wireless components letters. IEEE 14(5), 234 (2004). doi:10.1109/LMWC.2004.827910
Sage, J.M., Bolkhovsky, V., Oliver, W.D., Turek, B., Welander, P.B.: J. Appl. Phys. 109(6), 063915 (2011). doi:10.1063/1.3552890
Na, Z., Jian-She, L., Hao, L., Tie-Fu, L., Wei, C.: Chin. Phys. Lett. 29(8), 088401 (2012). http://stacks.iop.org/0256-307X/29/i=8/a=088401
Cohn, S.: Microwave theory and techniques. IEEE Trans. 17(10), 768 (1969). doi:10.1109/TMTT.1969.1127058
Mariani, E., Heinzman, C., Agrios, J., Cohn, S.: Microwave theory and techniques. IEEE Trans. 17(12), 1091 (1969). doi:10.1109/TMTT.1969.1127106
Mariani, E., Heinzman, C., Agrios, J., Cohn, S.: In: Microwave symposium, 1969 G-MTT International, pp 99–105 (1969). doi:10.1109/GMTT.1969.1122666
Robinson, G., Allen, J.: In: Microwave symposium, 1969 G-MTT International, pp 106–109 (1969). doi:10.1109/GMTT.1969.1122667
Brandt, E.H.: Phys. Rev. Lett. 67, 2219 (1991). doi:10.1103/PhysRevLett.67.2219
Ghosh, I., Cohen, L., Fry, V., Tate, T., Caplin, A., Gallop, J., Sievers, S., Somekh, R., Hensen, S., Lenkens, M.: Applied superconductivity. IEEE Trans. 5(2), 1756 (1995). doi:10.1109/77.402918
Belk, N., Oates, D.E., Feld, D.A., Dresselhaus, G., Dresselhaus, M.S.: Phys. Rev. B 56, 11966 (1997). doi:10.1103/PhysRevB.56.11966
Golosovsky, M., Tsindlekht, M., Davidov, D.: Supercond. Sci. Technol. 9(1), 1 (1996). http://stacks.iop.org/0953-2048/9/i=1/a=001
Wosik, J., Xie, L.M., Strikovski, M., Przyslupski, P., Kamel, M., Srinivasu, V.V., Long, S.A.: J. Appl. Phys. 91(8), 5384 (2002). doi:10.1063/1.1459600
Banerjee, T., Bagwe, V.C., John, J., Pai, S.P., Pinto, R., Kanjilal, D.: Phys. Rev. B 69, 104533 (2004). doi:10.1103/PhysRevB.69.104533
Grbic, M., Janjusevic, D., Pozek, M., Duleie, A., Wagner, T.: Physica C Supercond. 460(0), 1293 (2007). doi:10.1016/j.physc.2007.03.415. http://www.sciencedirect.com/science/article/pii/S0921453407004893
Zaitsev, A.G., Schneider, R., Hott, R., Schwarz, T., Geerk, J.: Phys. Rev. B 75, 212505 (2007). doi:10.1103/PhysRevB.75.212505
Pompeo, N., Silva, E.: Phys. Rev. B 78, 094503 (2008). doi:10.1103/PhysRevB.78.094503
Song, C., DeFeo, M.P., Yu, K., Plourde, B.L.T.: Appl. Phys. Lett. 95(23), 232501 (2009). doi:10.1063/1.3271523
Song, C., Heitmann, T.W., DeFeo, M.P., Yu, K., McDermott, R., Neeley, M., Martinis, J.M., Plourde, B.L.T.: Phys. Rev. B 79, 174512 (2009). doi:10.1103/PhysRevB.79.174512
Wu, C.J.: J. Appl. Phys. 96(6), 3348 (2004). doi:10.1063/1.1781761. http://link.aip.org/link/?JAP/96/3348/1
Andrews, J., Mathew, V.: Physica C Superconductivity 471(1112), 338 (2011). doi:10.1016/j.physc.2011.03.006. http://www.sciencedirect.com/science/article/pii/S092145341100044X
Andrews, J., Mathew, V.: Supercond. Sci. Technol. 25(2), 025004 (2012). http://stacks.iop.org/0953-2048/25/i=2/a=025004
Vendik, O., Vendik, I., Kaparkov, D.: Microwave theory and techniques. IEEE Trans. 46(5), 469 (1998). doi:10.1109/22.668643
Poole, C.: Handbook of superconductivity. Academic Press (2000). http://books.google.co.in/books?id=9h_rHzVMGVsC
Coffey, M.W., Clem, J.R.: Phys. Rev. Lett. 67, 386 (1991). doi:10.1103/PhysRevLett.67.386
Mawatari, Y., Clem, J.R.: Phys. Rev. Lett 86, 2870 (2001). doi:10.1103/PhysRevLett.86.2870
Mawatari, Y., Clem, J.R.: Phys. Rev. B 74, 144523 (2006). doi:10.1103/PhysRevB.74.144523
Kuit, K.H., Kirtley, J.R., van der Veur, W., Molenaar, C.G., Roesthuis, F.J.G., Troeman, A.G.P., Clem, J.R., Hilgenkamp, H., Rogalla, H., Flokstra, J.: Phys. Rev. B 77, 134504 (2008). doi:10.1103/PhysRevB.77.134504
Curran, P.J., Clem, J.R., Bending, S.J., Tsuchiya, Y., Tamegai, T. Phys. Rev. B 82, 134501 (2010). doi:10.1103/PhysRevB.82.134501
Pond, J., Krowne, C., Carter, W.: Microwave theory and techniques. IEEE Trans. 37(1), 181 (1989). doi:10.1109/22.20037
Srivastava, G., Mathew, V., Vedeshwar, A.G.: Physica C Supercond. 292(12), 83 (1997). doi:10.1016/S0921-4534(97)01697-3. http://www.sciencedirect.com/science/article/pii/S0921453497016973
Coffey, M.W., Clem, J.R.: Phys. Rev. B 48, 342 (1993). doi:10.1103/PhysRevB.48.342
Coffey, M.W., Clem, J.R.: Phys. Rev. B 48, 342 (1993). doi:10.1103/PhysRevB.45.9872
Yeshurun, Y., Malozemoff, A.P.: Phys. Rev. Lett. 60, 2202 (1988). doi:10.1103/PhysRevLett.60.2202
Tinkham, M.: Phys. Rev. Lett. 61, 1658 (1988). doi:10.1103/PhysRevLett.61.1658
Kes, P.H., Aarts, J., van den Berg, J., van der Beek, C.J., Mydosh, J.A.: Supercond. Sci. Tech. 1(5), 242 (1989). http://stacks.iop.org/0953-2048/1/i=5/a=005
Uwano, T., Itoh, T.: Numerical techniques for microwave and millimeter wave passive structures John Vlfiley. New York (1989)
Mathew, S., Mathew, A.R.V.: Journal of superconductivity and novel magnetism (2013)
Brandt, E.: Zeitschrift fr Physik B Condensed matter 80, 167 (1990). doi:10.1007/BF01357498
Acknowledgment
The authors would like to thank UGC, Govt. of India for financial assistance through a major project (Ref. No. 38-234/2009(SR)), for supporting this work.
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Andrews, J., Mathew, V. Propagation Characteristics of Superconducting Slotlines in Vortex State. J Supercond Nov Magn 28, 1977–1984 (2015). https://doi.org/10.1007/s10948-015-2963-3
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DOI: https://doi.org/10.1007/s10948-015-2963-3