Numerical computation of the interaction between electromagnetic waves and nonlinear superconducting materials

IEEE Transactions on Microwave Theory and Techniques

Volumn 49, Issue 10 I, 2001, Pages 1810-1817

  Caorsi, S ^a   Massa, A ^a   Pastorino, M ^a  

^a UNIVERSITY OF PAVIA   (Italy)

Author keywords

Microwave; Scattering; Superconductivity; Transmission lines

Indexed keywords

NONLINEAR SUPERCONDUCTING MATERIALS;

APPROXIMATION THEORY; INTEGRAL EQUATIONS; MAGNETIC FIELDS; MICROWAVES; PERMITTIVITY; SCATTERING; SUPERCONDUCTING ELECTRIC LINES; SUPERCONDUCTING MATERIALS;

ELECTROMAGNETIC WAVES;

EID: 0035474749     PISSN: 00189480     EISSN: None     Source Type: Journal    
DOI: 10.1109/22.954788     Document Type: Article

References (47)

1. H. S. Kwok and D. T. Shaw, Superconductivity and Its Applications. Amsterdam, The Netherlands: Elsevier, 1988.ss
2. T. Van Duzer and C. W. Turner, Principle of Superconductive Devices and Circuits. Amsterdam, The Netherlands: Elsevier, 1981.
3. J. C. Ritter, M. Nisenoff, G. Price, and S. A. Wolf, "High temperature superconductivity space experiment," IEEE Trans. Magn., vol. 27, pp. 2533-2536, Mar. 1991.
4. R. S. Withers and R. W. Ralston, "Superconductive analog signal processing," Proc. IEEE, vol. 77, pp. 1247-1263, Aug. 1989.
5. G. C. Liang, "High-temperature superconductor microwave circuits," Ph.D. dissertation, Dept. Elect. Eng. Comput. Sci., Univ. California at Berkeley, Berkeley, CA, 1990.
6. V. I. Abramov, A. Y. Klimov, A. N. Reznik, and B. B. Tagunov, "Nonlinear dissipation in a miniature superconducting microwave antenna," Tech. Phys. Lett., vol. 21, pp. 203-205, 1995.
7. L. H. Lee, S. M. Ali, and W. G. Lyons, "Full-wave characterization of high-T superconducting transmission lines," IEEE Trans. Appl. Superconduct., vol. 2, pp. 49-57, June 1992.
8. H. Y. Lee and T. Itoh, "Phenomenological loss equivalence method for planar quasi-TEM transmission lines with a thin normal conductor or superconductor," IEEE Trans. Microwave Theory Tech., vol. 37, pp. 1904-1909, Dec. 1989.
9. S. El-Ghazaly, R. Hammond, and T. Itoh, "Analysis of superconducting microwave structures: Application to microstrip lines," IEEE Trans. Microwave Theory Tech., vol. 40, pp. 499-508, Mar. 1992.
10. O. R. Baiocchi, K.-S. Kong, H. Ling, and T. Itoh, "Effects of superconducting losses in pulse propagation on microstrip lines," IEEE Microwave Guided Wave Lett., vol. 1, pp. 2-4, Jan. 1991.
11. E. B. Ekholm and S. W. McKnight, "Attenuation and dispersion for high-T superconducting microstrip lines," IEEE Trans. Microwave Theory Tech., vol. 38, pp. 387-395, Apr. 1990.
12. J. M. Chwalek et al., "Ultrafast response of superconducting transmission lines," IEEE Trans. Magn., vol. 25, pp. 814-817, Mar. 1989.
13. D. R. Dykaar et al., "High-frequency characterization of thin-film Y-Ba-Cu oxide superconducting transmission lines," Appl. Phys. Lett., vol. 52, no. 17, pp. 1444-1446, 1988.
14. W. J. Gallagher et al., "Subpicosecond optoelectronic study of resistive and superconductive transmission lines," Appl. Phys. Lett., vol. 50, no. 6, pp. 350-352, 1987.
15. M. C. Nuss et al., "Propagation of terahertz bandwidth electrical pulses on YBa2Cu3Oz-delta transmission lines on lanthanum aluminate," Appl. Phys. Lett., vol. 54, no. 22, pp. 2265-2267, 1989.
16. W. Rauch, E. Gornik, G. Solkner, A. A. Valenzuela, H. Behner, and G. Gieres, "High temperature superconducting coplanar and epitaxially grown microstrip transmission lines studied by a half-wavelength resonator technique," Appl. Superconduct., vol. 2, no. 6, pp. 417-423, June 1994.
17. K. K. Mei and G. Liang, "Electromagnetics of superconductors," IEEE Trans. Microwave Theory Tech., vol. 39, pp. 1545-1552, Sept. 1991.
18. 7-x thin films," IEEE Trans. Microwave Theory Tech., vol. 39, pp. 1522-1529, Sept. 1991.
19. 7-x thin films using stripline resonators," J. Superconduct., vol. 3, pp. 251-259, 1991.
20. D. P. Choudhury, B. A. Willemsen, J. S. Derov, and S. Sridhar, "Nonlinear response of HTSC thin film microwave resonators in an applied DC magnetic field," IEEE Trans. Appl. Superconduct., vol. 7, pp. 1260-1263, June 1997.
21. 7-xfilms up to 2″meter for microwave antenna arrays," IEEE Trans. Appl. Superconduct., vol. 7, pp. 1729-1732, June 1995.
22. M. Hein et al., "Fundamental limits of the linear microwave power response of epitaxial Y-Ba-Cu-O films," IEEE Trans. Appl. Superconduct., vol. 7, pp. 1236-1239, June 1997.
23. B. A. Willemsen, J. S. Derov, J. H. Silva, and S. Sridhar, "Nonlinear response of suspended high temperature superconducting thin film microwave resonators," IEEE Trans. Appl. Superconduct., vol. 5, pp. 1753-1755, June 1997.
24. J.-G. Ma and I. Wolff, "Electrodinamics in high-T superconductors," IEEE Trans. Microwave Theory Tech., vol. 44, pp. 537-542, Apr. 1996.
25. S. Anlage, "Electrodynamics of the electron-doped cuprate superconductors," in Proc. 6th High-Temperature Superconduct. High-Frequency Fields Symp., Naples, Italy, 2000, pp. 24-27.
26. V. V. Talanov, L. V. Mercaldo, and S. M. Anlage, "Measurement of the absolute penetration depth and surface resistance of superconductors using the variable spacing parallel plate resonator," IEEE Trans. Appl. Superconduct., vol. 9, pp. 2179-2182, June 1999.
27. L. D. Landau, E. M. Lifshitz, and E. Pitaevski, Electrodynamics of Continuous Media. New York: Pergamon, 1984.
28. K. M. Leung, "Scattering of transverse-electric electromagnetic waves with a finite nonlinear film," J. Opt. Soc. Amer. B, Opt. Phys., vol. 5, pp. 571-574, 1988.
29. S. Caorsi, A. Massa, and M. Pastorino, "A numerical solution to full-vector electromagnetic scattering by three-dimensional nonlinear bounded dielectrics," IEEE Trans. Microwave Theory Tech., vol. 43, pp. 428-436, Feb. 1995.
30. - "Approximate solutions to the scattering by nonlinear isotropic dielectric cylinders of circular cross sections under TM illumination," IEEE Trans. Antennas Propagat., vol. 43, pp. 1262-1269, Nov. 1995.
31. C.-W. Lam, D. M. Sheen, S. M. Ali, and D. E. Oates, "Modeling the nonlinearity of superconducting strip transmission lines," IEEE Trans. Appl. Superconduct., vol. 2, pp. 58-66, June 1992.
32. D. Mihalanche, D. Mazilu, M. Bortolotti, and C. Sibilla, "Exact solution for nonlinear thin-film guided waves in higher-order nonlinear media," J. Opt. Soc. Amer. B, Opt. Phys., vol. 5, pp. 565-570, 1986.
33. S. Caorsi, A. Massa, and M. Pastorino, "Electromagnetic scattering by nonlinear dielectric cylinders with non-Kerr-like nonlinearities," Microwave Opt. Technol. Lett., vol. 10, no. 6, pp. 347-350, 1995.
34. C. T. Tai, Dyadic Green's Functions in Electromagnetic Theory. Scranton, PA: International Textbook, 1971.
35. S. Caorsi, A. Massa, and M. Pastorino, "Iterative numerical computation of the electromagnetic field inside weakly nonlinear infinite dielectric cylinders of arbitrary cross sections using the distorted-wave Born approximation," IEEE Trans. Microwave Theory Tech., vol. 44, pp. 400-412, Mar. 1995.
36. M. A. Hasan and P. L. E. Uslenghi, "Electromagnetic scattering from nonlinear anisotropic cylinders-Part I: Fundamental frequency," IEEE Trans. Antennas Propagat., vol. 38, pp. 523-533, Apr. 1990.
37. F. Gao, Z. Zhou, M. Feng, M. Scharen, A. Cardona, and R. Forse, "Hysteresis effect in microwave power transmission of high temperature superconducting coplanar transmission lines," Appl. Phys. Lett., vol. 67, no. 15, pp. 2229-2231, 1995.
38. J. H. Richmond, "Scattering by a dielectric cylinder of arbitrary cross-section shape," IEEE Trans. Antennas Propagat., vol. AP-13, pp. 334-341, May 1965.
39. A. F. Peterson, "Analysis of heterogeneous electromagnetic scatterers: Research progress of the past decade," Proc. IEEE, vol. 79, pp. 1431-1453, Oct. 1991.
40. E. H. Newman and M. Kragalott, "Moment method analysis of the electric shielding factor of a conducting TM shield at ELF," IEEE Trans. Electromagn. Compat., vol. 37, pp. 400-408, Aug. 1995.
41. S. Caorsi, A. Massa, and M. Pastorino, "Optimization procedure based on a statistical cooling method applied to scattering by bounded nonlinear objects," Radio Sci., vol. 31, pp. 437-450, 1996.
42. R. J.Wombell and R. D. Murch, "The reconstruction of dielectric objects from scattered field data using the distorted-wave Born approximation," J. Electromag. Waves Applicat., vol. 7, pp. 687-702, 1983.
43. H. Xin et al., "Comparison of power dependence of microwave surface resistance of unpatterned and patterned YBCO thin film," IEEE Trans. Microwave Theory Tech., vol. 48, pp. 1221-1226, July 2000.
44. D. M. Sheen, S. M. Ali, D. E. Oates, R. S. Withers, and J. A. Kong, "Current distribution, resistance and inductance for superconducting strip transmission lines," IEEE Trans. Appl. Superconduct., vol. 1, pp. 108-115, June 1991.
45. W. T. Weeks, L. L. Wu, M. F. McAllister, and A. Singh, "Resistive and inductive skin effect in rectangular conductors," IBM J. Res. Develop., vol. 23, no. 6, pp. 652-660, 1979.
46. M. J. Tsuk and J. A. Kong, "A hybrid method for the calculation of the resistance and inductance of transmission lines with arbitrary cross sections," IEEE Trans. Microwave Theory Tech., vol. 39, pp. 1338-1347, Aug. 1991.
47. Y. Liu and T. Itoh, "Characterization of power-dependent high-T superconducting microstrip line by modified spectral domain method," Radio Sci., vol. 28, pp. 913-918, 1993.