dc.contributor.author | Horsley, SAR | |
dc.contributor.author | King, CG | |
dc.contributor.author | Philbin, TG | |
dc.date.accessioned | 2016-06-15T09:26:10Z | |
dc.date.issued | 2016-04-01 | |
dc.description.abstract | We give an interpretation for the use of complex spatial coordinates in electromagnetism, in terms of a family of closely related inhomogeneous media. Using this understanding we find that the phenomenon of reflection can be related to branch cuts in the wave that originate from poles of ϵ (z) at complex positions. Demanding that these branch cuts disappear, we derive a new large family of inhomogeneous media that are reflectionless for a single angle of incidence. Extending this property to all angles of incidence leads us to a generalized form of the Poschl Teller potentials that in general include regions of loss and gain. We conclude by analyzing our findings within the phase integral (WKB) method, and find another very large family of isotropic planar media that from one side have a transmission of unity and reflection of zero, for all angles of incidence. | en_GB |
dc.description.sponsorship | SARH and TGP acknowledge financial support from EPSRC program
grant EP/I034548/1. | en_GB |
dc.identifier.citation | Vol. 18, No. 4, Article no. 044016 | en_GB |
dc.identifier.doi | 10.1088/2040-8978/18/4/044016 | |
dc.identifier.uri | http://hdl.handle.net/10871/22110 | |
dc.language.iso | en | en_GB |
dc.publisher | IOP Publishing | en_GB |
dc.relation.url | http://iopscience.iop.org/2040-8986 | en_GB |
dc.rights | © 2016 IOP Publishing Ltd. Content from this work may be used under the terms of the Creative Commons Attribution 3.0 licence. Any further distribution of this work must maintain attribution to the author(s) and the title of the work, journal citation and DOI. This is the author accepted manuscript. The final version is available from IOP via the DOI in this record. | en_GB |
dc.subject | graded index structures | en_GB |
dc.subject | invisibility | en_GB |
dc.subject | reflectionlessness | en_GB |
dc.subject | complex spatial coordinates | en_GB |
dc.title | Wave propagation in complex coordinates | en_GB |
dc.type | Article | en_GB |
dc.date.available | 2016-06-15T09:26:10Z | |
dc.identifier.issn | 2040-8978 | |
dc.description | Article | en_GB |
dc.identifier.eissn | 2040-8986 | |
dc.identifier.journal | Journal of Optics | en_GB |