期刊
JOURNAL OF OPTICS
卷 18, 期 4, 页码 -出版社
IOP PUBLISHING LTD
DOI: 10.1088/2040-8978/18/4/044016
关键词
graded index structures; invisibility; reflectionlessness; complex spatial coordinates
类别
资金
- EPSRC [EP/I034548/1]
- Engineering and Physical Sciences Research Council [EP/I034548/1] Funding Source: researchfish
- EPSRC [EP/I034548/1] Funding Source: UKRI
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 epsilon(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.
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