Abstract

We study the influences of the graded index on Pendry’s perfect lens. A perfect lens, in its idealized case, is a slab of material with both the electric permittivity ε and the magnetic permeability μ being -1. In the graded-index lens discussed here the ε, as well as μ, gradually changes from -1 in the main body of the slab to +1 in the vacuum. During this process of changing, the ε will inevitably touch the zero value, which introduces singularities in the corresponding wave equations. We analytically discuss the imaging properties of the graded-index lens by use of confluent hypergeometric Kummer functions and discover that the limit of resolution of the lens has a logarithmic dependence on the graded-index regions. This logarithmic dependence implies that the hyper resolution of a “perfect” lens can only be obtained if the negative-to-positive transition layers are exponentially thin compared with the wavelength as well as the thickness of the lens. Similar effects in a metal slab lens are also discovered.

© 2016 Optical Society of America

Full Article  |  PDF Article
OSA Recommended Articles
Limits on the amplification of evanescent waves of left-handed materials

Thomas Koschny, Rabia Moussa, and Costas M. Soukoulis
J. Opt. Soc. Am. B 23(3) 485-489 (2006)

Electromagnetic wave propagations in conjugate metamaterials

Yadong Xu, Yangyang Fu, and Huanyang Chen
Opt. Express 25(5) 4952-4966 (2017)

Generalized Veselago-Pendry lenses via complex transformation optics

Hayrettin Odabasi and Fernando L. Teixeira
Opt. Express 27(18) 25670-25677 (2019)

References

You do not have subscription access to this journal. Citation lists with outbound citation links are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription

Cited By

You do not have subscription access to this journal. Cited by links are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription

Figures (5)

You do not have subscription access to this journal. Figure files are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription

Equations (21)

You do not have subscription access to this journal. Equations are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription

Metrics

You do not have subscription access to this journal. Article level metrics are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription