Measurement and simulation of the polarization-dependent Purcell factor in a microwave fishnet metamaterial

Kaizad Rustomji; Redha Abdeddaim; C. Martijn De Sterke; Boris Kuhlmey; Stefan Enoch

doi:10.1103/PhysRevB.95.035156

Measurement and simulation of the polarization-dependent Purcell factor in a microwave fishnet metamaterial

Kaizad Rustomji, Redha Abdeddaim, C. Martijn De Sterke, Boris Kuhlmey, Stefan Enoch

Research output: Contribution to journal › Article › peer-review

14 Scopus citations

Abstract

We determine, experimentally and numerically, the electric and magnetic Purcell factors in a fishnet metamaterial in the frequency range 5-15 GHz by measuring the impedance of a dipole antenna. We compare measurements and numerical simulations of the Purcell factor for transverse electric (TEz) and transverse magnetic (TMz) polarizations. For TMz polarization, the dispersion relation of the structure is hyperbolic and enhances the Purcell factor. For TEz polarization, the dispersion relation does not allow any propagating solutions and decreases the Purcell factor below the effective plasma frequency. Eigenmode calculations of the periodic unit cell of the metamaterial are used to obtain the band structure and confirm the presence of hyperbolic isofrequency surfaces. The isofrequency surfaces are used to calculate the density of states (DOS). We also use the impedance method to obtain the DOS by averaging the Purcell factor obtained at different locations over the periodic unit cell and find good agreement with DOS calculated from eigenmode calculations.

Original language	English
Article number	035156
Journal	Physical Review B
Volume	95
Issue number	3
DOIs	https://doi.org/10.1103/PhysRevB.95.035156
State	Published - 31 Jan 2017
Externally published	Yes

ASJC Scopus subject areas

Electronic, Optical and Magnetic Materials
Condensed Matter Physics

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10.1103/PhysRevB.95.035156

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title = "Measurement and simulation of the polarization-dependent Purcell factor in a microwave fishnet metamaterial",

abstract = "We determine, experimentally and numerically, the electric and magnetic Purcell factors in a fishnet metamaterial in the frequency range 5-15 GHz by measuring the impedance of a dipole antenna. We compare measurements and numerical simulations of the Purcell factor for transverse electric (TEz) and transverse magnetic (TMz) polarizations. For TMz polarization, the dispersion relation of the structure is hyperbolic and enhances the Purcell factor. For TEz polarization, the dispersion relation does not allow any propagating solutions and decreases the Purcell factor below the effective plasma frequency. Eigenmode calculations of the periodic unit cell of the metamaterial are used to obtain the band structure and confirm the presence of hyperbolic isofrequency surfaces. The isofrequency surfaces are used to calculate the density of states (DOS). We also use the impedance method to obtain the DOS by averaging the Purcell factor obtained at different locations over the periodic unit cell and find good agreement with DOS calculated from eigenmode calculations.",

author = "Kaizad Rustomji and Redha Abdeddaim and {De Sterke}, {C. Martijn} and Boris Kuhlmey and Stefan Enoch",

note = "Funding Information: Research was conducted within the context of the International Associated Laboratory ALPhFA: Associated Laboratory for Photonics between France and Australia. This work was carried out thanks to the support of the AMIDEX project (Grant No. ANR-11-IDEX-0001-02) funded by the Investissements d'Avenir French Government program, managed by the French National Research Agency (ANR). This work was supported by the Australian Research Council (CUDOS Centre of Excellence CE110001018). The authors thank Elodie Georget and Pierre Sabouroux for help with microwave measurements and John Sipe for valuable discussions. Publisher Copyright: {\textcopyright} 2017 American Physical Society.",

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doi = "10.1103/PhysRevB.95.035156",

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AU - Rustomji, Kaizad

AU - Abdeddaim, Redha

AU - De Sterke, C. Martijn

AU - Kuhlmey, Boris

AU - Enoch, Stefan

N1 - Funding Information: Research was conducted within the context of the International Associated Laboratory ALPhFA: Associated Laboratory for Photonics between France and Australia. This work was carried out thanks to the support of the AMIDEX project (Grant No. ANR-11-IDEX-0001-02) funded by the Investissements d'Avenir French Government program, managed by the French National Research Agency (ANR). This work was supported by the Australian Research Council (CUDOS Centre of Excellence CE110001018). The authors thank Elodie Georget and Pierre Sabouroux for help with microwave measurements and John Sipe for valuable discussions. Publisher Copyright: © 2017 American Physical Society.

PY - 2017/1/31

Y1 - 2017/1/31

N2 - We determine, experimentally and numerically, the electric and magnetic Purcell factors in a fishnet metamaterial in the frequency range 5-15 GHz by measuring the impedance of a dipole antenna. We compare measurements and numerical simulations of the Purcell factor for transverse electric (TEz) and transverse magnetic (TMz) polarizations. For TMz polarization, the dispersion relation of the structure is hyperbolic and enhances the Purcell factor. For TEz polarization, the dispersion relation does not allow any propagating solutions and decreases the Purcell factor below the effective plasma frequency. Eigenmode calculations of the periodic unit cell of the metamaterial are used to obtain the band structure and confirm the presence of hyperbolic isofrequency surfaces. The isofrequency surfaces are used to calculate the density of states (DOS). We also use the impedance method to obtain the DOS by averaging the Purcell factor obtained at different locations over the periodic unit cell and find good agreement with DOS calculated from eigenmode calculations.

AB - We determine, experimentally and numerically, the electric and magnetic Purcell factors in a fishnet metamaterial in the frequency range 5-15 GHz by measuring the impedance of a dipole antenna. We compare measurements and numerical simulations of the Purcell factor for transverse electric (TEz) and transverse magnetic (TMz) polarizations. For TMz polarization, the dispersion relation of the structure is hyperbolic and enhances the Purcell factor. For TEz polarization, the dispersion relation does not allow any propagating solutions and decreases the Purcell factor below the effective plasma frequency. Eigenmode calculations of the periodic unit cell of the metamaterial are used to obtain the band structure and confirm the presence of hyperbolic isofrequency surfaces. The isofrequency surfaces are used to calculate the density of states (DOS). We also use the impedance method to obtain the DOS by averaging the Purcell factor obtained at different locations over the periodic unit cell and find good agreement with DOS calculated from eigenmode calculations.

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Measurement and simulation of the polarization-dependent Purcell factor in a microwave fishnet metamaterial

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