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On the Continuous Generalized Solutions of a Lossless Transmission Line System with Josephson Junction

Yıl 2018, Cilt: 1 Sayı: 1, 30 - 45, 25.04.2018

Ljubomir P. Georgiev

Öz

The present paper is devoted to the investigation of lossless transmission lines with Josephson junction. Such lines are described by first order nonlinear hyperbolic system partial differential equations. We consider the mixed problem for this system with boundary conditions generated by a circuit corresponding to Josephson junction formulated by V. Angelov. We present the mixed problem in an operator form and obtain a suitable sequence converging to a continuous solution.

Anahtar Kelimeler

transmission lines Josephson junction nonlinear hyperbolic system mixed problem

Kaynakça

  • [1] Scott A.C., F. Chu, S. Reible, Magnetic-flux propagation on a Josephson transmission line, J. Applied Physics v. 47, No. 7, July (1976), 3272–3286.
  • [2] Swihart J.C., Field solution for a thin-film superconducting strip transmission line, J. Applied Physics v. 32, No. 3, March (1961), 461–469.
  • [3] Barone A., G. Paterno, Physics and Applications of the Josephson Effect, A Wiley-Inter Science Publication, J. Wiley & Sons, New York, 1982.
  • [4] Cirillo M., Josephson Transmission Lines Coupling, in Nonlinear Superconductive Electronics and Josephson Devices, Proc. NATO Advanced Research Workshop on Nonlinear Superconductive Electronics and of the Second Workshop on Josephson Devices, (Ed: G. Costabile, S. Pagano, N.F. Pedersen, M. Russo), Springer Science+Business Media, NY, 1991, 297-305.
  • [5] V. G. Angelov, Lossless transmission lines with Josephson junction – approximated continuous generalized solutions, Journal of Multidisciplinary Engineering Science and Technology (JMEST) ISSN: 3159-0040 vol. 2 Issue 1 (2015), 291–298.
  • [6] Angelov V.G., Lossy Transmission Lines with Josephson Junction – Continuous Generalized Solutions. Communications in Applied Analysis 20 (2016), 91-106.
  • [7] Angelov V.G., Lossless Transmission Lines Terminated by L-Load in Series Connected to Parallel Connected GL-Loads. British Journal of Mathematics & Computer Science, 3 (3) (2013), 352-389.
  • [8] Angelov V.G., A Method for Analysis of Transmission Lines Terminated by Nonlinear Loads. Nova Science, New York, 2014.

Yıl 2018, Cilt: 1 Sayı: 1, 30 - 45, 25.04.2018

Ljubomir P. Georgiev

Öz

Kaynakça

  • [1] Scott A.C., F. Chu, S. Reible, Magnetic-flux propagation on a Josephson transmission line, J. Applied Physics v. 47, No. 7, July (1976), 3272–3286.
  • [2] Swihart J.C., Field solution for a thin-film superconducting strip transmission line, J. Applied Physics v. 32, No. 3, March (1961), 461–469.
  • [3] Barone A., G. Paterno, Physics and Applications of the Josephson Effect, A Wiley-Inter Science Publication, J. Wiley & Sons, New York, 1982.
  • [4] Cirillo M., Josephson Transmission Lines Coupling, in Nonlinear Superconductive Electronics and Josephson Devices, Proc. NATO Advanced Research Workshop on Nonlinear Superconductive Electronics and of the Second Workshop on Josephson Devices, (Ed: G. Costabile, S. Pagano, N.F. Pedersen, M. Russo), Springer Science+Business Media, NY, 1991, 297-305.
  • [5] V. G. Angelov, Lossless transmission lines with Josephson junction – approximated continuous generalized solutions, Journal of Multidisciplinary Engineering Science and Technology (JMEST) ISSN: 3159-0040 vol. 2 Issue 1 (2015), 291–298.
  • [6] Angelov V.G., Lossy Transmission Lines with Josephson Junction – Continuous Generalized Solutions. Communications in Applied Analysis 20 (2016), 91-106.
  • [7] Angelov V.G., Lossless Transmission Lines Terminated by L-Load in Series Connected to Parallel Connected GL-Loads. British Journal of Mathematics & Computer Science, 3 (3) (2013), 352-389.
  • [8] Angelov V.G., A Method for Analysis of Transmission Lines Terminated by Nonlinear Loads. Nova Science, New York, 2014.
Toplam 8 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Bölüm Articles
Yazarlar

Ljubomir P. Georgiev Bu kişi benim

Yayımlanma Tarihi 25 Nisan 2018
Yayımlandığı Sayı Yıl 2018 Cilt: 1 Sayı: 1

Kaynak Göster

APA Georgiev, L. P. (2018). On the Continuous Generalized Solutions of a Lossless Transmission Line System with Josephson Junction. Results in Nonlinear Analysis, 1(1), 30-45.
AMA Georgiev LP. On the Continuous Generalized Solutions of a Lossless Transmission Line System with Josephson Junction. RNA. Nisan 2018;1(1):30-45.
Chicago Georgiev, Ljubomir P. “On the Continuous Generalized Solutions of a Lossless Transmission Line System With Josephson Junction”. Results in Nonlinear Analysis 1, sy. 1 (Nisan 2018): 30-45.
EndNote Georgiev LP (01 Nisan 2018) On the Continuous Generalized Solutions of a Lossless Transmission Line System with Josephson Junction. Results in Nonlinear Analysis 1 1 30–45.
IEEE L. P. Georgiev, “On the Continuous Generalized Solutions of a Lossless Transmission Line System with Josephson Junction”, RNA, c. 1, sy. 1, ss. 30–45, 2018.
ISNAD Georgiev, Ljubomir P. “On the Continuous Generalized Solutions of a Lossless Transmission Line System With Josephson Junction”. Results in Nonlinear Analysis 1/1 (Nisan 2018), 30-45.
JAMA Georgiev LP. On the Continuous Generalized Solutions of a Lossless Transmission Line System with Josephson Junction. RNA. 2018;1:30–45.
MLA Georgiev, Ljubomir P. “On the Continuous Generalized Solutions of a Lossless Transmission Line System With Josephson Junction”. Results in Nonlinear Analysis, c. 1, sy. 1, 2018, ss. 30-45.
Vancouver Georgiev LP. On the Continuous Generalized Solutions of a Lossless Transmission Line System with Josephson Junction. RNA. 2018;1(1):30-45.
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