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Received: Nov. 11, 2018
Accepted: Dec. 6, 2018
Posted: Mar. 14, 2019
Published Online: Feb. 18, 2019
The Author Email: Pendry John B. (email@example.com), Luo Yu (firstname.lastname@example.org)
Fig. 1. A simple coordinate transformation that compresses a space along the
Fig. 2. (a) The undistorted coordinate system, where a ray of light in free space travels in a straight line. (b) The coordinates are transformed to exclude the cloaked region. Trajectories of rays are pinned to the coordinate mesh and therefore avoid the cloaked region, returning to their original path after passing through the cloak. (c) The coordinates are transformed to fold the space into the annulus region. (d) The field distribution for a cloak under the Gaussian beam illumination. (e) The field distribution for a concentration under the Gaussian beam illumination.
Fig. 3. A carpet cloak designed with quasi-conformal mapping. (a)
Fig. 4. A linear transformation that transforms an arbitrary triangular region to another one in the physical space.
Fig. 5. (a) The linear transformation for the design of a carpet cloak. (b) Full-wave simulation of
Fig. 6. Schematic of the conformal transformation that maps canonical plasmonic systems to singular structures. (a) A thin metal slab that couples to a 2-D line dipole is transformed to a crescent-shaped nanocylinder illuminated by a uniform electric field. (b) Two semi-infinite metal slabs separated by a thin dielectric film that are excited by a 2-D dipole source are transformed to two touching metallic nanowires illuminated by a uniform electric field.
Fig. 7. Absorption cross section as a fraction of the physical cross section as a function of frequency for different shapes of (a) crescents and (b) touching nanowires. The absorption spectrum of one individual cylinder is also shown for comparison. (c) The normalized electric field
Fig. 8. The original plasmonic systems are truncated periodic metallo-dielectric structures depicted in (a), (c), (e), and (g), where the EM source is an array of line dipoles (red arrows), aligned along the
Fig. 9. Absorption spectrum as a function of the frequency and the bluntness. Figure reprinted with permission: Ref. 83, © 2012 by APS.
Fig. 10. Conformal transformation of a metal-vacuum-metal geometry into a nanowire dimer with (a) local
Fig. 11. (a) Electric field enhancements in the vicinity of the touching point at different degrees of nonlocality
Fig. 12. The 3-D inversion that maps a metal-dielectric-metal annulus geometry into a pair of nanospheres separated by a small gap.
Fig. 13. Resonance frequencies of (a) plasmonic modes and (b) Casimir energy versus the separation between two 5-nm-radius gold spheres. Figure reprinted with permission: Ref. 101, © 2013 by the National Academy of Sciences of the United States of America.
Fig. 14. A conformal transformation compacts (a) the
Fig. 15. (a) Schematic of singular graphene metasurface with periodical conductivity. (b) and (c) Absorption spectra of two singular graphene metasurfaces showing how the plasmonic resonances merge into a continuum with increasing dissipation losses. Figure reprinted with permission: Ref. 115, © 2018 by the American Chemical Society.