Advanced search
2 files | 516.23 KB Add to list

Pade approximate solution for wave propagation in graded-index metamaterials

Khai Le Quang (UGent) and Peter Bienstman (UGent)
Author
Organization
Project
Center for nano- and biophotonics (NB-Photonics)
Abstract
A new approximate solution for wave propagation in graded-index media is developed whereby the exact wave propagation equation is replaced by any one of a sequence of higher-order (m, n) Pade approximant operators. The resulting formulations may be discretized by common numerical schemes and solvable by existing numerical techniques. The accuracy of this approximate calculation of the wave propagator is demonstrated in comparison with the exact result. We then employ the resulting method to investigate wave propagation in metamaterials with graded-index profiles which change according to a hyperbolic tangent function along the propagation direction.
Keywords
wave propagation, ANGLE BEAM-PROPAGATION, NEGATIVE-INDEX, graded-index metamaterials, Pade approximant operators, OPERATORS, MEDIA

Downloads

  • (...).pdf
    • full text
    • |
    • UGent only
    • |
    • PDF
    • |
    • 328.01 KB
  • 4583 i.pdf
    • full text
    • |
    • open access
    • |
    • PDF
    • |
    • 188.22 KB

Citation

Please use this url to cite or link to this publication:

MLA
Le Quang, Khai, and Peter Bienstman. “Pade Approximate Solution for Wave Propagation in Graded-index Metamaterials.” JOURNAL OF OPTICS 13.2 (2011): n. pag. Print.
APA
Le Quang, K., & Bienstman, P. (2011). Pade approximate solution for wave propagation in graded-index metamaterials. JOURNAL OF OPTICS, 13(2).
Chicago author-date
Le Quang, Khai, and Peter Bienstman. 2011. “Pade Approximate Solution for Wave Propagation in Graded-index Metamaterials.” Journal of Optics 13 (2).
Chicago author-date (all authors)
Le Quang, Khai, and Peter Bienstman. 2011. “Pade Approximate Solution for Wave Propagation in Graded-index Metamaterials.” Journal of Optics 13 (2).
Vancouver
1.
Le Quang K, Bienstman P. Pade approximate solution for wave propagation in graded-index metamaterials. JOURNAL OF OPTICS. 2011;13(2).
IEEE
[1]
K. Le Quang and P. Bienstman, “Pade approximate solution for wave propagation in graded-index metamaterials,” JOURNAL OF OPTICS, vol. 13, no. 2, 2011.
@article{1156916,
  abstract     = {A new approximate solution for wave propagation in graded-index media is developed whereby the exact wave propagation equation is replaced by any one of a sequence of higher-order (m, n) Pade approximant operators. The resulting formulations may be discretized by common numerical schemes and solvable by existing numerical techniques. The accuracy of this approximate calculation of the wave propagator is demonstrated in comparison with the exact result. We then employ the resulting method to investigate wave propagation in metamaterials with graded-index profiles which change according to a hyperbolic tangent function along the propagation direction.},
  articleno    = {024015},
  author       = {Le Quang, Khai and Bienstman, Peter},
  issn         = {2040-8978},
  journal      = {JOURNAL OF OPTICS},
  keywords     = {wave propagation,ANGLE BEAM-PROPAGATION,NEGATIVE-INDEX,graded-index metamaterials,Pade approximant operators,OPERATORS,MEDIA},
  language     = {eng},
  number       = {2},
  pages        = {4},
  title        = {Pade approximate solution for wave propagation in graded-index metamaterials},
  url          = {http://dx.doi.org/10.1088/2040-8978/13/2/024015},
  volume       = {13},
  year         = {2011},
}

Altmetric
View in Altmetric
Web of Science
Times cited: