## Effects of nonlocal response on the density of states of hyperbolic metamaterials

Publication: Research - peer-review › Conference article – Annual report year: 2012

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**Effects of nonlocal response on the density of states of hyperbolic metamaterials.** / Yan, Wei; Wubs, Martijn; Mortensen, N. Asger.

Publication: Research - peer-review › Conference article – Annual report year: 2012

### Harvard

*Proceedings of SPIE, the International Society for Optical Engineering*, vol 8455, pp. 84550V. DOI: 10.1117/12.929478

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*Proceedings of SPIE, the International Society for Optical Engineering*,

*8455*, 84550V. DOI: 10.1117/12.929478

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*Proceedings of SPIE, the International Society for Optical Engineering*. 2012, 8455. 84550V. Available: 10.1117/12.929478

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TY - CONF

T1 - Effects of nonlocal response on the density of states of hyperbolic metamaterials

AU - Yan,Wei

AU - Wubs,Martijn

AU - Mortensen,N. Asger

PY - 2012

Y1 - 2012

N2 - Metamaterials with a hyperbolic dispersion curve, called hyperbolic metamaterials, exhibit an amazing broad-band singularity in the photonic density of states in the usual local-response approximation. In this paper, under the framework of the hydrodynamic Drude model, we discuss the effects of the nonlocal response of the electron gas in the metal on the hyperbolic metamaterials. By using mean field theory, we derive the effective material parameters of the hyperbolic metamaterials. The original unbounded hyperbolic dispersion is found to be cut off at the wavevector inverse to the Fermi velocity. By expanding the Green function in a plane-wave basis and using the transfer matrix method to calculate the reflection coefficients, we study the local density of states (LDOS) of hyperbolic metamaterials. We show that the nonlocal response of the electron gas in the metal removes the singularity of both radiative and non-radiative local density of states, and also sets up a finite maximal value. We also briefly discuss the effects of the nonlocal response on other plasmonic structures, such as a metallic semi-infinite substrate and a metallic slab.

AB - Metamaterials with a hyperbolic dispersion curve, called hyperbolic metamaterials, exhibit an amazing broad-band singularity in the photonic density of states in the usual local-response approximation. In this paper, under the framework of the hydrodynamic Drude model, we discuss the effects of the nonlocal response of the electron gas in the metal on the hyperbolic metamaterials. By using mean field theory, we derive the effective material parameters of the hyperbolic metamaterials. The original unbounded hyperbolic dispersion is found to be cut off at the wavevector inverse to the Fermi velocity. By expanding the Green function in a plane-wave basis and using the transfer matrix method to calculate the reflection coefficients, we study the local density of states (LDOS) of hyperbolic metamaterials. We show that the nonlocal response of the electron gas in the metal removes the singularity of both radiative and non-radiative local density of states, and also sets up a finite maximal value. We also briefly discuss the effects of the nonlocal response on other plasmonic structures, such as a metallic semi-infinite substrate and a metallic slab.

U2 - 10.1117/12.929478

DO - 10.1117/12.929478

M3 - Conference article

VL - 8455

SP - 84550V

JO - Proceedings of SPIE, the International Society for Optical Engineering

T2 - Proceedings of SPIE, the International Society for Optical Engineering

JF - Proceedings of SPIE, the International Society for Optical Engineering

SN - 0277-786X

ER -