Robin-to-Robin transparent boundary conditions for the computation of guided modes in photonic crystal wave-guides
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| 008 | 210128e20150301xx s 000 0 eng | ||
| 024 | 7 | 0 | |a 10.1007/s10543-014-0521-1 |2 doi |
| 035 | |a (NATIONALLICENCE)springer-10.1007/s10543-014-0521-1 | ||
| 245 | 0 | 0 | |a Robin-to-Robin transparent boundary conditions for the computation of guided modes in photonic crystal wave-guides |h [Elektronische Daten] |c [Sonia Fliss, Dirk Klindworth, Kersten Schmidt] |
| 520 | 3 | |a The efficient and reliable computation of guided modes in photonic crystal wave-guides is of great importance for designing optical devices. Transparent boundary conditions based on Dirichlet-to-Neumann operators allow for an exact computation of well-confined modes and modes close to the band edge in the sense that no modelling error is introduced. The well-known super-cell method, on the other hand, introduces a modelling error which may become prohibitively large for guided modes that are not well-confined. The Dirichlet-to-Neumann transparent boundary conditions are, however, not applicable for all frequencies as they are not uniquely defined and their computation is unstable for a countable set of frequencies that correspond to so called Dirichlet eigenvalues. In this work we describe how to overcome this theoretical difficulty introducing Robin-to-Robin transparent boundary conditions whose construction do not exhibit those forbidden frequencies. They seem, hence, well suited for an exact and reliable computation of guided modes in photonic crystal wave-guides. | |
| 540 | |a Springer Science+Business Media Dordrecht, 2014 | ||
| 690 | 7 | |a Robin-to-Robin map |2 nationallicence | |
| 690 | 7 | |a Photonic crystal wave-guide |2 nationallicence | |
| 690 | 7 | |a Surface modes |2 nationallicence | |
| 690 | 7 | |a High-order FEM |2 nationallicence | |
| 690 | 7 | |a Non-linear eigenvalue problem |2 nationallicence | |
| 700 | 1 | |a Fliss |D Sonia |u Laboratoire POEMS, UMR 7231 CNRS/ENSTA/INRIA, ENSTA ParisTech, Paris, France |4 aut | |
| 700 | 1 | |a Klindworth |D Dirk |u Department of Mathematics, Research Center MATHEON, TU Berlin, Berlin, Germany |4 aut | |
| 700 | 1 | |a Schmidt |D Kersten |u Department of Mathematics, Research Center MATHEON, TU Berlin, Berlin, Germany |4 aut | |
| 773 | 0 | |t BIT Numerical Mathematics |d Springer Netherlands |g 55/1(2015-03-01), 81-115 |x 0006-3835 |q 55:1<81 |1 2015 |2 55 |o 10543 | |
| 856 | 4 | 0 | |u https://doi.org/10.1007/s10543-014-0521-1 |q text/html |z Onlinezugriff via DOI |
| 898 | |a BK010053 |b XK010053 |c XK010000 | ||
| 900 | 7 | |a Metadata rights reserved |b Springer special CC-BY-NC licence |2 nationallicence | |
| 908 | |D 1 |a research-article |2 jats | ||
| 949 | |B NATIONALLICENCE |F NATIONALLICENCE |b NL-springer | ||
| 950 | |B NATIONALLICENCE |P 856 |E 40 |u https://doi.org/10.1007/s10543-014-0521-1 |q text/html |z Onlinezugriff via DOI | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Fliss |D Sonia |u Laboratoire POEMS, UMR 7231 CNRS/ENSTA/INRIA, ENSTA ParisTech, Paris, France |4 aut | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Klindworth |D Dirk |u Department of Mathematics, Research Center MATHEON, TU Berlin, Berlin, Germany |4 aut | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Schmidt |D Kersten |u Department of Mathematics, Research Center MATHEON, TU Berlin, Berlin, Germany |4 aut | ||
| 950 | |B NATIONALLICENCE |P 773 |E 0- |t BIT Numerical Mathematics |d Springer Netherlands |g 55/1(2015-03-01), 81-115 |x 0006-3835 |q 55:1<81 |1 2015 |2 55 |o 10543 | ||