Rigorous sufficient conditions for index-guided mode in microstructured dielectric waveguides
| dc.creator | Lee, Karen K. Y. | |
| dc.creator | Avniel, Yehuda | |
| dc.creator | Johnson, Steven G. | |
| dc.date | 2008-03-19 | |
| dc.date.accessioned | 2026-07-07T09:43:12Z | |
| dc.date.available | 2026-07-07T09:43:12Z | |
| dc.description | We derive a sufficient condition for the existence of index-guided modes in a very general class of dielectric waveguides, including photonic-crystal fibers (arbitrary periodic claddings, such as ``holey fibers''), anisotropic materials, and waveguides with periodicity along the propagation direction. This condition provides a rigorous guarantee of cutoff-free index-guided modes in any such structure where the core is formed by increasing the index of refraction (e.g. removing a hole). It also provides a weaker guarantee of guidance in cases where the refractive index is increased ``on average'' (precisely defined). The proof is based on a simple variational method, inspired by analogous proofs of localization for two-dimensional attractive potentials in quantum mechanics. | |
| dc.description | 15 pages | |
| dc.identifier | https://arxiv.org/abs/0803.2850 | |
| dc.identifier | http://arxiv.org/abs/0803.2850 | |
| dc.identifier | Optics Express Vol. 16, Issue 13, pp. 9261-9275 (2008) | |
| dc.identifier | doi:10.1364/OE.16.009261 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/162468 | |
| dc.subject | Optics | |
| dc.title | Rigorous sufficient conditions for index-guided mode in microstructured dielectric waveguides | |
| dc.type | text |