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

Wei Yan; Martijn Wubs; N. Asger Mortensen

doi:10.1117/12.929478

15 October 2012 Effects of nonlocal response on the density of states of hyperbolic metamaterials

Wei Yan, Martijn Wubs, N. Asger Mortensen

Proceedings Volume 8455, Metamaterials: Fundamentals and Applications V; 84550V (2012) https://doi.org/10.1117/12.929478
Event: SPIE NanoScience + Engineering, 2012, San Diego, California, United States

Abstract

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.

Citation Download Citation

Wei Yan, Martijn Wubs, and N. Asger Mortensen "Effects of nonlocal response on the density of states of hyperbolic metamaterials", Proc. SPIE 8455, Metamaterials: Fundamentals and Applications V, 84550V (15 October 2012); https://doi.org/10.1117/12.929478

ACCESS THE FULL ARTICLE

INSTITUTIONAL
Select your institution to access the SPIE Digital Library.

SELECT YOUR INSTITUTION

PERSONAL
Sign in with your SPIE account to access your personal subscriptions or to use specific features such as save to my library, sign up for alerts, save searches, etc.

PERSONAL SIGN IN

No SPIE Account? Create one

PURCHASE THIS CONTENT

SUBSCRIBE TO DIGITAL LIBRARY

50 downloads per 1-year subscription

Members: $195

Non-members: $335 ADD TO CART

25 downloads per 1 - year subscription

Members: $145

Non-members: $250 ADD TO CART

PURCHASE SINGLE ARTICLE

Includes PDF, HTML & Video, when available