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Self-focusing media using graded photonic crystals: Focusing, Fourier transforming and imaging, directive emission, and directional cloaking
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10.1063/1.3630116
/content/aip/journal/jap/110/5/10.1063/1.3630116
http://aip.metastore.ingenta.com/content/aip/journal/jap/110/5/10.1063/1.3630116
View: Figures

Figures

Image of FIG. 1.
FIG. 1.

A self-focusing medium under the consideration: the ray enters the GRIN medium at the point (0, y 0), the output point is (x, y), while the ray trajectory within the GRIN medium is given by the dashed line.

Image of FIG. 2.
FIG. 2.

(Color online) Simulation results for a z-component of electric field at frequency : (a) original and (b) GPC-based focusing lens.

Image of FIG. 3.
FIG. 3.

Comparison of theoretical predictions (dotted lines) given by Eqs. (13) and (14) with calculations for the original (solid lines) and GPC focusing lens (dashed lines): (a) field intensities at the focal point and (b) FWHM at the lens output faces as functions of frequency.

Image of FIG. 4.
FIG. 4.

Fourier transform capabilities of a focusing lens: comparison of the theoretical prediction (dotted line), the Fourier transform calculation (dashed-dotted line) with the simulation results for the original (solid line) and GPC lens (dashed line). Solid and dashed lines represent field distributions along the lens output faces at frequency .

Image of FIG. 5.
FIG. 5.

(Color online) Simulation results for a z-component of electric field at frequency : (a) original and (b) GPC-based imaging lens.

Image of FIG. 6.
FIG. 6.

Calculation for imaging lens: (a) field distribution along the lens input face (dotted line) is inverted at the output faces of the original (solid line) and GPC-based imaging lens (dashed line), (b) overlap integral as a function of frequency for the original (solid line) and GPC-based imaging lens (dashed line), and (c) comparison of FWHM at the lens output faces with the theoretical prediction (dotted line) given by Eq. (13) as functions of frequency.

Image of FIG. 7.
FIG. 7.

(Color online) Radiation patterns for (a) point-like source only, (b) self-focusing lens as antenna, (c) GPC-based antenna for emission along the optical axis, and (d) GPC-based antenna for emission at oblique angle. Simulation results are for a z-component of electric field at frequency .

Image of FIG. 8.
FIG. 8.

Normalized power densities: (a) the antennas for emission along the optical axis and (b) the emission at oblique angle. The working frequency is . Dotted line corresponds to the point-like source, solid lines correspond to the original antennas, and dashed lines correspond to the GPC based antennas, whereas dashed-dotted lines correspond to the enlarged antennas.

Image of FIG. 9.
FIG. 9.

(Color online) From imaging lens to directional cloaking: (a) imaging lens, (b) imaging lens with exchanged lower and upper parts, (c) scattering of an incoming electromagnetic beam on the circular PEC shell, (d) original directional cloak, and (e) GPC-based directional cloak. Simulation results are for a z-component of electric field at frequency .

Image of FIG. 10.
FIG. 10.

Overlap integral as a function of frequency for the original (solid line), the GPC-based directional cloak (dashed line), and the modified imaging lens (dotted line).

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/content/aip/journal/jap/110/5/10.1063/1.3630116
2011-09-07
2014-04-25
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Self-focusing media using graded photonic crystals: Focusing, Fourier transforming and imaging, directive emission, and directional cloaking
http://aip.metastore.ingenta.com/content/aip/journal/jap/110/5/10.1063/1.3630116
10.1063/1.3630116
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