Existence Conditions of High-k Modes in Finite Hyperbolic Metamaterials

Research output: Contribution to journalJournal article – Annual report year: 2019Researchpeer-review

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Existence Conditions of High-k Modes in Finite Hyperbolic Metamaterials. / Mahmoodi, Maryam; Tavassoli, Seyed Hassan; Takayama, Osamu; Sukham, Johneph; Malureanu, Radu; Lavrinenko, Andrei V.

In: Laser & Photonics Reviews, 2019.

Research output: Contribution to journalJournal article – Annual report year: 2019Researchpeer-review

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@article{64553674cb70483c85c007b54ecc5fb1,
title = "Existence Conditions of High-k Modes in Finite Hyperbolic Metamaterials",
abstract = "The capability to support optical waves with very large wave vectors (high‐k) is one of the principle features of hyperbolic metamaterials (HMMs). These waves play the key role in HMM applications such as imaging and lifetime engineering. Effective medium approximation (EMA) as widely used analytical method to predict HMMs behavior, has shortcomings in calculating high‐k modes of practical structures. EMA is applicable to a subwavelength unit cell of implicitly infinite periodic structures. Using conventional EMA, in the present paper, boundary effects and spatial dispersion are taken into consideration to properly compute the high‐k modes of finite‐thickness multilayer HMMs. Applying nonlocal homogenization to stacks of alternating metal‐dielectric layers, the corresponding effective medium is examined as a high‐k waveguide sandwiched between the substrate and an ambient superstrate. The developed theory enables us to recognize two types of bulk waves coined as short‐range and long‐range propagating modes. Number of such modes as well as their cutoff conditions are quantified for the first time. Validity of the developed theory is verified both numerically by rigorous simulations of the multilayer structures with the transfer matrix method and experimentally by optical characterization of the HMMs in infrared regime.",
keywords = "Effective medium theory, High‐k modes, Hyperbolic metamaterials, Subwavelength metal‐dielectric multilayers",
author = "Maryam Mahmoodi and Tavassoli, {Seyed Hassan} and Osamu Takayama and Johneph Sukham and Radu Malureanu and Lavrinenko, {Andrei V.}",
year = "2019",
doi = "10.1002/lpor.201800253",
language = "English",
journal = "Laser & Photonics Reviews",
issn = "1863-8880",
publisher = "Wiley - V C H Verlag GmbH & Co. KGaA",

}

RIS

TY - JOUR

T1 - Existence Conditions of High-k Modes in Finite Hyperbolic Metamaterials

AU - Mahmoodi, Maryam

AU - Tavassoli, Seyed Hassan

AU - Takayama, Osamu

AU - Sukham, Johneph

AU - Malureanu, Radu

AU - Lavrinenko, Andrei V.

PY - 2019

Y1 - 2019

N2 - The capability to support optical waves with very large wave vectors (high‐k) is one of the principle features of hyperbolic metamaterials (HMMs). These waves play the key role in HMM applications such as imaging and lifetime engineering. Effective medium approximation (EMA) as widely used analytical method to predict HMMs behavior, has shortcomings in calculating high‐k modes of practical structures. EMA is applicable to a subwavelength unit cell of implicitly infinite periodic structures. Using conventional EMA, in the present paper, boundary effects and spatial dispersion are taken into consideration to properly compute the high‐k modes of finite‐thickness multilayer HMMs. Applying nonlocal homogenization to stacks of alternating metal‐dielectric layers, the corresponding effective medium is examined as a high‐k waveguide sandwiched between the substrate and an ambient superstrate. The developed theory enables us to recognize two types of bulk waves coined as short‐range and long‐range propagating modes. Number of such modes as well as their cutoff conditions are quantified for the first time. Validity of the developed theory is verified both numerically by rigorous simulations of the multilayer structures with the transfer matrix method and experimentally by optical characterization of the HMMs in infrared regime.

AB - The capability to support optical waves with very large wave vectors (high‐k) is one of the principle features of hyperbolic metamaterials (HMMs). These waves play the key role in HMM applications such as imaging and lifetime engineering. Effective medium approximation (EMA) as widely used analytical method to predict HMMs behavior, has shortcomings in calculating high‐k modes of practical structures. EMA is applicable to a subwavelength unit cell of implicitly infinite periodic structures. Using conventional EMA, in the present paper, boundary effects and spatial dispersion are taken into consideration to properly compute the high‐k modes of finite‐thickness multilayer HMMs. Applying nonlocal homogenization to stacks of alternating metal‐dielectric layers, the corresponding effective medium is examined as a high‐k waveguide sandwiched between the substrate and an ambient superstrate. The developed theory enables us to recognize two types of bulk waves coined as short‐range and long‐range propagating modes. Number of such modes as well as their cutoff conditions are quantified for the first time. Validity of the developed theory is verified both numerically by rigorous simulations of the multilayer structures with the transfer matrix method and experimentally by optical characterization of the HMMs in infrared regime.

KW - Effective medium theory

KW - High‐k modes

KW - Hyperbolic metamaterials

KW - Subwavelength metal‐dielectric multilayers

U2 - 10.1002/lpor.201800253

DO - 10.1002/lpor.201800253

M3 - Journal article

JO - Laser & Photonics Reviews

JF - Laser & Photonics Reviews

SN - 1863-8880

M1 - 1800253

ER -