Nanoplasmonic magneto-optical isolator [Invited]

Vahid Foroughi Nezhad; Chenglong You; Georgios Veronis

doi:10.3788/COL202119.083602

Journals >Chinese Optics Letters >Volume 19 >Issue 8 >Page 083602 > Article

Chinese Optics Letters
Vol. 19, Issue 8, 083602 (2021)

Nanoplasmonic magneto-optical isolator [Invited] | On the Cover

Vahid Foroughi Nezhad^1、2, Chenglong You³, and Georgios Veronis^1、2、*

Author Affiliations

¹School of Electrical Engineering and Computer Science, Louisiana State University, Baton Rouge, Louisiana 70803, USA

²Center for Computation and Technology, Louisiana State University, Baton Rouge, Louisiana 70803, USA

³Department of Physics and Astronomy, Louisiana State University, Baton Rouge, Louisiana 70803, USA

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DOI: 10.3788/COL202119.083602 Cite this Article Set citation alerts

Vahid Foroughi Nezhad, Chenglong You, Georgios Veronis. Nanoplasmonic magneto-optical isolator [Invited][J]. Chinese Optics Letters, 2021, 19(8): 083602 Copy Citation Text

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Abstract

We introduce a nanoplasmonic isolator that consists of a cylindrical resonator placed close to a metal-dielectric-metal (MDM) waveguide. The material filling the waveguide and resonator is a magneto-optical (MO) material, and the structure is under an externally applied static magnetic field. We theoretically investigate the properties of the structure and show that the cavity mode without MO activity splits into two modes when the MO activity is present. In addition, we find that the presence of the MDM waveguide leads to a second resonance due to the geometrical asymmetry caused by the existence of the waveguide. We also show that, when MO activity is present, the cavity becomes a traveling wave resonator. Thus, the transmission of the structure depends on the direction of the incident light, and the proposed structure operates as an optical isolator.

Keywords

magneto-optic systems metal optics plasmonics

\bar{\bar{ϵ}} = ϵ_{0} [\begin{matrix} ϵ_{r} & i α & 0 \\ - i α & ϵ_{r} & 0 \\ 0 & 0 & ϵ_{⊥} \end{matrix}],

(1)

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\frac{m α}{ϵ_{r} ϵ_{e} R} + \frac{k_{1} J_{m}^{'} (k_{1} R)}{ϵ_{e} J_{m} (k_{1} R)} = \frac{k_{2} H_{m}^{(2)^{'}} (k_{2} R)}{ϵ_{m} H_{m}^{(2)} (k_{2} R)},

(2)

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Δ λ \approx \frac{m α λ_{c}^{3} | J_{m} (k_{1}^{'} R {) |}^{2}}{π^{2} ϵ_{r} ϵ_{e} [\int_{0}^{R} {| J_{m} (k_{1}^{'} ρ) |}^{2} ρ d ρ + \frac{{| J_{m} (k_{1}^{'} R) |}^{2}}{{| H_{m}^{(2)} (k_{2} R) |}^{2}} \int_{R}^{\infty} {| H_{m}^{(2)} (k_{2} ρ) |}^{2} ρ d ρ]},

(3)

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H_{z} = A J_{m} (k_{1} ρ) e^{i m ϕ},

(4)

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E_{ρ} = \frac{1}{ρ ω ϵ_{0} ϵ_{r} ϵ_{e}} (α ρ \frac{\partial H_{z}}{\partial ρ} - i ϵ_{r} \frac{\partial H_{z}}{\partial ϕ}) = \frac{A}{ρ ω ϵ_{0} ϵ_{r} ϵ_{e}} [α k_{1} ρ J_{m}^{'} (k_{1} ρ) + m ϵ_{r} J_{m} (k_{1} ρ)] e^{i m ϕ} .

(5)

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S_{ϕ} = - Re (\frac{1}{2} E_{ρ} H_{z}^{*}) = Re {- \frac{{| A |}^{2} J_{m}^{*} (k_{1} ρ)}{2 ρ ω ϵ_{0} ϵ_{e} ϵ_{r}} [m ϵ_{r} J_{m} (k_{1} ρ) + α k_{1} ρ J_{m}^{'} (k_{1} ρ)]} .

(6)

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Vahid Foroughi Nezhad, Chenglong You, Georgios Veronis. Nanoplasmonic magneto-optical isolator [Invited][J]. Chinese Optics Letters, 2021, 19(8): 083602

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