Investigation of effective media applicability for ultrathin multilayer structures

Johneph Sukham, Osamu Takayama, Maryam Mahmoodi, Stanislav Sychev, Andrey Bogdanov, Seyed Hassan Tavassoli, Andrei V Lavrinenko, Radu Malureanu*

*Corresponding author for this work

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Abstract

Multilayer hyperbolic metamaterials (HMMs) are highly anisotropic media consisting of alternating metal and dielectric layers with their electromagnetic properties defined by the effective medium approximation (EMA). EMA is generally applied for a large number of subwavelength unit cells or periods of a multilayer HMM. However, in practice, the number of periods is limited. To the best of our knowledge, a comparison between rigorous theory, EMA and experiments to investigate the minimum number of layers that allow for the low error of EMA results has not yet been investigated. In this article, we compared the reflectance response of the effective anisotropic HMMs predicted by the scattering matrix method (SMM) and EMA with optical characterization data, having the unit cell twenty times smaller than the vacuum wavelength in the visible range. The fabricated HMM structures consist of up to ten periods of alternating 10 nm thick Au and Al2O3 layers deposited by sputtering and atomic layer deposition, respectively. The two deposition techniques enable us to achieve a high quality HMM with low roughness: the root mean square (RMS) is less than 1 nm. We showed that the multilayer structure behaves like an effective medium from the fourth period onwards as the EMA calculation and experimental results agree well having below 4% mean square standard deviation of reflectance (MSDR) for the wavelength range from 500 to 1750 nm with a wide incident angle range. These results could have an impact on the design and development of active metamaterials and their applications ranging from imaging to nonlinear optics and sensing.
Original languageEnglish
JournalNanoscale
Volume11
Issue number26
Pages (from-to)12582-12588
ISSN2040-3364
DOIs
Publication statusPublished - 2019

Cite this

Sukham, Johneph ; Takayama, Osamu ; Mahmoodi, Maryam ; Sychev, Stanislav ; Bogdanov, Andrey ; Tavassoli, Seyed Hassan ; Lavrinenko, Andrei V ; Malureanu, Radu. / Investigation of effective media applicability for ultrathin multilayer structures. In: Nanoscale. 2019 ; Vol. 11, No. 26. pp. 12582-12588.
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abstract = "Multilayer hyperbolic metamaterials (HMMs) are highly anisotropic media consisting of alternating metal and dielectric layers with their electromagnetic properties defined by the effective medium approximation (EMA). EMA is generally applied for a large number of subwavelength unit cells or periods of a multilayer HMM. However, in practice, the number of periods is limited. To the best of our knowledge, a comparison between rigorous theory, EMA and experiments to investigate the minimum number of layers that allow for the low error of EMA results has not yet been investigated. In this article, we compared the reflectance response of the effective anisotropic HMMs predicted by the scattering matrix method (SMM) and EMA with optical characterization data, having the unit cell twenty times smaller than the vacuum wavelength in the visible range. The fabricated HMM structures consist of up to ten periods of alternating 10 nm thick Au and Al2O3 layers deposited by sputtering and atomic layer deposition, respectively. The two deposition techniques enable us to achieve a high quality HMM with low roughness: the root mean square (RMS) is less than 1 nm. We showed that the multilayer structure behaves like an effective medium from the fourth period onwards as the EMA calculation and experimental results agree well having below 4{\%} mean square standard deviation of reflectance (MSDR) for the wavelength range from 500 to 1750 nm with a wide incident angle range. These results could have an impact on the design and development of active metamaterials and their applications ranging from imaging to nonlinear optics and sensing.",
author = "Johneph Sukham and Osamu Takayama and Maryam Mahmoodi and Stanislav Sychev and Andrey Bogdanov and Tavassoli, {Seyed Hassan} and Lavrinenko, {Andrei V} and Radu Malureanu",
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language = "English",
volume = "11",
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Investigation of effective media applicability for ultrathin multilayer structures. / Sukham, Johneph; Takayama, Osamu; Mahmoodi, Maryam; Sychev, Stanislav; Bogdanov, Andrey; Tavassoli, Seyed Hassan; Lavrinenko, Andrei V; Malureanu, Radu.

In: Nanoscale, Vol. 11, No. 26, 2019, p. 12582-12588.

Research output: Contribution to journalJournal articleResearchpeer-review

TY - JOUR

T1 - Investigation of effective media applicability for ultrathin multilayer structures

AU - Sukham, Johneph

AU - Takayama, Osamu

AU - Mahmoodi, Maryam

AU - Sychev, Stanislav

AU - Bogdanov, Andrey

AU - Tavassoli, Seyed Hassan

AU - Lavrinenko, Andrei V

AU - Malureanu, Radu

PY - 2019

Y1 - 2019

N2 - Multilayer hyperbolic metamaterials (HMMs) are highly anisotropic media consisting of alternating metal and dielectric layers with their electromagnetic properties defined by the effective medium approximation (EMA). EMA is generally applied for a large number of subwavelength unit cells or periods of a multilayer HMM. However, in practice, the number of periods is limited. To the best of our knowledge, a comparison between rigorous theory, EMA and experiments to investigate the minimum number of layers that allow for the low error of EMA results has not yet been investigated. In this article, we compared the reflectance response of the effective anisotropic HMMs predicted by the scattering matrix method (SMM) and EMA with optical characterization data, having the unit cell twenty times smaller than the vacuum wavelength in the visible range. The fabricated HMM structures consist of up to ten periods of alternating 10 nm thick Au and Al2O3 layers deposited by sputtering and atomic layer deposition, respectively. The two deposition techniques enable us to achieve a high quality HMM with low roughness: the root mean square (RMS) is less than 1 nm. We showed that the multilayer structure behaves like an effective medium from the fourth period onwards as the EMA calculation and experimental results agree well having below 4% mean square standard deviation of reflectance (MSDR) for the wavelength range from 500 to 1750 nm with a wide incident angle range. These results could have an impact on the design and development of active metamaterials and their applications ranging from imaging to nonlinear optics and sensing.

AB - Multilayer hyperbolic metamaterials (HMMs) are highly anisotropic media consisting of alternating metal and dielectric layers with their electromagnetic properties defined by the effective medium approximation (EMA). EMA is generally applied for a large number of subwavelength unit cells or periods of a multilayer HMM. However, in practice, the number of periods is limited. To the best of our knowledge, a comparison between rigorous theory, EMA and experiments to investigate the minimum number of layers that allow for the low error of EMA results has not yet been investigated. In this article, we compared the reflectance response of the effective anisotropic HMMs predicted by the scattering matrix method (SMM) and EMA with optical characterization data, having the unit cell twenty times smaller than the vacuum wavelength in the visible range. The fabricated HMM structures consist of up to ten periods of alternating 10 nm thick Au and Al2O3 layers deposited by sputtering and atomic layer deposition, respectively. The two deposition techniques enable us to achieve a high quality HMM with low roughness: the root mean square (RMS) is less than 1 nm. We showed that the multilayer structure behaves like an effective medium from the fourth period onwards as the EMA calculation and experimental results agree well having below 4% mean square standard deviation of reflectance (MSDR) for the wavelength range from 500 to 1750 nm with a wide incident angle range. These results could have an impact on the design and development of active metamaterials and their applications ranging from imaging to nonlinear optics and sensing.

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DO - 10.1039/c9nr02471a

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JO - Nanoscale

JF - Nanoscale

SN - 2040-3364

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Sukham J, Takayama O, Mahmoodi M, Sychev S, Bogdanov A, Tavassoli SH et al. Investigation of effective media applicability for ultrathin multilayer structures. Nanoscale. 2019;11(26):12582-12588. https://doi.org/10.1039/c9nr02471a