Skip to main content
Top
Published in: Optical and Quantum Electronics 6/2015

01-06-2015

Efficient analysis of electron waveguides with multiple discontinuities

Authors: Afaf M. A. Said, S. S. A. Obayya

Published in: Optical and Quantum Electronics | Issue 6/2015

Log in

Activate our intelligent search to find suitable subject content or patents.

search-config
loading …

Abstract

Blocked Schur finite-element bidirectional beam propagation method (BS-FE-BiBPM) is introduced for the solution of electron waveguides with multiple discontinuities. Scattering properties could be accurately calculated using BiBPM based on time-independent Schrödinger equation while Blocked Schur algorithm is used for accurate computation of the characteristic matrix square root. The suggested approach substantially reduces the computational time while preserving very high efficiency.

Dont have a licence yet? Then find out more about our products and how to get one now:

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Springer Professional "Wirtschaft"

Online-Abonnement

Mit Springer Professional "Wirtschaft" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 340 Zeitschriften

aus folgenden Fachgebieten:

  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Versicherung + Risiko




Jetzt Wissensvorsprung sichern!

Literature
go back to reference Arnold, A., Schulte, M.: Transparent boundary conditions for quantum-waveguide simulations. Math. Comput. Simul. 79, 898–905 (2008)CrossRefMATHMathSciNet Arnold, A., Schulte, M.: Transparent boundary conditions for quantum-waveguide simulations. Math. Comput. Simul. 79, 898–905 (2008)CrossRefMATHMathSciNet
go back to reference Björck, Å., Hammarling, S.: A Schur method for the square root of a matrix. Linear Algebra Its Appl. 52–53, 127–140 (1983) Björck, Å., Hammarling, S.: A Schur method for the square root of a matrix. Linear Algebra Its Appl. 52–53, 127–140 (1983)
go back to reference Chen, Y., Wu, T.X.: Radiation properties in electron waveguides. J. Appl. Phys. 101, 024304 (2007)CrossRefADS Chen, Y., Wu, T.X.: Radiation properties in electron waveguides. J. Appl. Phys. 101, 024304 (2007)CrossRefADS
go back to reference Deadman, E., Higham, N., Ralha, R.: Blocked Schur Algorithmsfor Computing the Matrix Square Root. Springer, Berlin, LNCS 7782, pp. 171–182 (2013) Deadman, E., Higham, N., Ralha, R.: Blocked Schur Algorithmsfor Computing the Matrix Square Root. Springer, Berlin, LNCS 7782, pp. 171–182 (2013)
go back to reference El-Refaei, H., Yevick, D., Betty, I.: Stable and noniterative bidirectional beam propagation method. IEEE Photon. Technol. Lett. 12, 389–391 391 (2000)CrossRefADS El-Refaei, H., Yevick, D., Betty, I.: Stable and noniterative bidirectional beam propagation method. IEEE Photon. Technol. Lett. 12, 389–391 391 (2000)CrossRefADS
go back to reference Gotoh, H., Koshiba, M., Kaji, R.: Finite element solution of electron waveguide discontinuities and its application to quantum field effect directional couplers. IEEE J. Quantum Electron. 32, 1826–1832 (1996)CrossRefADS Gotoh, H., Koshiba, M., Kaji, R.: Finite element solution of electron waveguide discontinuities and its application to quantum field effect directional couplers. IEEE J. Quantum Electron. 32, 1826–1832 (1996)CrossRefADS
go back to reference Gotoh, H., Koshiba, M., Tsuji, Y.: Finite-element time-domain beam propagation method with perfectly matched layer for electron waveguide simulations. IEICE Electron. Express 8, 1361–1366 (2011)CrossRef Gotoh, H., Koshiba, M., Tsuji, Y.: Finite-element time-domain beam propagation method with perfectly matched layer for electron waveguide simulations. IEICE Electron. Express 8, 1361–1366 (2011)CrossRef
go back to reference Higham, N.: Functions of Matrices: Theory and Computation. SIAM, Philadelphia (2008)CrossRef Higham, N.: Functions of Matrices: Theory and Computation. SIAM, Philadelphia (2008)CrossRef
go back to reference Ho, P.L., Lu, Y.Y.: A stable bidirectional propagation method based on scattering operators. IEEE Photon. Technol. Lett. 13, 1316–1318 (2001)CrossRefADS Ho, P.L., Lu, Y.Y.: A stable bidirectional propagation method based on scattering operators. IEEE Photon. Technol. Lett. 13, 1316–1318 (2001)CrossRefADS
go back to reference Koshiba, M., Tsuji, Y.: A wide-angle finite-element beam propagation method. IEEE Photon. Technol. Lett. 8, 1208–1210 (1996)CrossRefADS Koshiba, M., Tsuji, Y.: A wide-angle finite-element beam propagation method. IEEE Photon. Technol. Lett. 8, 1208–1210 (1996)CrossRefADS
go back to reference Lu, Y.Y.: A Padé approximation method for square roots of symmetric positive definite matrices. SIAM J. Matrix Anal. Appl. 19, 833–845 (1998)CrossRefMATHMathSciNet Lu, Y.Y.: A Padé approximation method for square roots of symmetric positive definite matrices. SIAM J. Matrix Anal. Appl. 19, 833–845 (1998)CrossRefMATHMathSciNet
go back to reference Lu, Y.Y.: A complex coefficient rational approximation of \(\sqrt{1+ x}\). Appl. Numer. Math. 27, 141–154 (1998) Lu, Y.Y.: A complex coefficient rational approximation of \(\sqrt{1+ x}\). Appl. Numer. Math. 27, 141–154 (1998)
go back to reference Obayya, S.S.A.: Novel finite element analysis of optical waveguide discontinuity problems. J. Lightwave Technol. 22, 1420–1425 (2004) Obayya, S.S.A.: Novel finite element analysis of optical waveguide discontinuity problems. J. Lightwave Technol. 22, 1420–1425 (2004)
go back to reference Rahman, B.M.A., Leung, D.M.H., Obayya, S.S.A., Grattan, K.T.V.: Numerical analysis of bent waveguides: bending loss, transmission loss, mode coupling, and polarization coupling. Appl. Opt. 47, 2961–2970 (2008)CrossRefADS Rahman, B.M.A., Leung, D.M.H., Obayya, S.S.A., Grattan, K.T.V.: Numerical analysis of bent waveguides: bending loss, transmission loss, mode coupling, and polarization coupling. Appl. Opt. 47, 2961–2970 (2008)CrossRefADS
go back to reference Rajarajan, M., Obayya, S., Rahman, B., Grattan, K., El-Mikali, H.: Characterisation of low-loss waveguide bends with offset-optimisation for compact photonic integrated circuits. IEE Proc. Optoelectron. 147, 382–388 (2000)CrossRef Rajarajan, M., Obayya, S., Rahman, B., Grattan, K., El-Mikali, H.: Characterisation of low-loss waveguide bends with offset-optimisation for compact photonic integrated circuits. IEE Proc. Optoelectron. 147, 382–388 (2000)CrossRef
go back to reference Zhang, H., Mu, J., Huang, W.-P.: Assessment of rational approximations for square root operator in bidirectional beam propagation method. J. Lightwave Technol. 26, 600–607 (2008)CrossRefADS Zhang, H., Mu, J., Huang, W.-P.: Assessment of rational approximations for square root operator in bidirectional beam propagation method. J. Lightwave Technol. 26, 600–607 (2008)CrossRefADS
Metadata
Title
Efficient analysis of electron waveguides with multiple discontinuities
Authors
Afaf M. A. Said
S. S. A. Obayya
Publication date
01-06-2015
Publisher
Springer US
Published in
Optical and Quantum Electronics / Issue 6/2015
Print ISSN: 0306-8919
Electronic ISSN: 1572-817X
DOI
https://doi.org/10.1007/s11082-014-0055-4

Other articles of this Issue 6/2015

Optical and Quantum Electronics 6/2015 Go to the issue