Researching | Low-loss Airy surface plasmon polaritons

Journals >Chinese Optics Letters >Volume 13 >Issue 8 >Page 082401 > Article

Chinese Optics Letters
Vol. 13, Issue 8, 082401 (2015)

Low-loss Airy surface plasmon polaritons

Qi Zhang, Chaohua Tan, Chao Hang, and Guoxiang Huang^*

Author Affiliations

State Key Laboratory of Precision Spectroscopy and Department of Physics, East China Normal University, Shanghai 200062, China

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DOI: 10.3788/COL201513.082401 Cite this Article Set citation alerts

Qi Zhang, Chaohua Tan, Chao Hang, Guoxiang Huang. Low-loss Airy surface plasmon polaritons[J]. Chinese Optics Letters, 2015, 13(8): 082401 Copy Citation Text

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Abstract

We propose a scheme to obtain a low-loss propagation of Airy surface plasmon polaritons (SPPs) along the interface between a dielectric and a negative-index metamaterial (NIMM). We show that by using the transverse-magnetic mode and the related destructive interference effect between electric and magnetic absorption responses, the propagation loss of the Airy SPPs can be largely suppressed when the optical frequency is close to the lossless point of the NIMM. As a result, the Airy SPPs obtained in our scheme can propagate more than a 6 times longer distance than that in conventional dielectric–metal interfaces.

β (ω) = \frac{ω}{c} \sqrt{\frac{ε_{1} ε_{2} (ε_{2} μ_{1} - ε_{1} μ_{2})}{ε_{2}^{2} - ε_{1}^{2}}} .

(1)

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\frac{\partial^{2} E_{y j}}{\partial x \partial y} - \frac{\partial^{2} E_{x j}}{\partial y^{2}} - \frac{\partial^{2} E_{x j}}{\partial z^{2}} + \frac{\partial^{2} E_{z j}}{\partial z \partial x} = n_{j}^{2} k_{0}^{2} E_{x j},

(2a)

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\frac{\partial^{2} E_{z j}}{\partial y \partial z} - \frac{\partial^{2} E_{y j}}{\partial z^{2}} - \frac{\partial^{2} E_{y j}}{\partial x^{2}} + \frac{\partial^{2} E_{x j}}{\partial x \partial y} = n_{j}^{2} k_{0}^{2} E_{y j},

(2b)

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\frac{\partial^{2} E_{x j}}{\partial z \partial x} - \frac{\partial^{2} E_{z j}}{\partial x^{2}} - \frac{\partial^{2} E_{z j}}{\partial y^{2}} + \frac{\partial^{2} E_{y j}}{\partial y \partial z} = n_{j}^{2} k_{0}^{2} E_{z j} .

(2c)

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E (r, t) = U_{0} (e_{x} + e_{y} \frac{i}{β} \frac{\partial}{\partial y} \mp e_{z} \frac{i β}{k_{j}}) e^{i (β z - ω t)} \times Ai (\frac{y}{l_{0}} - \frac{z^{2}}{4 β^{2} l_{0}^{4}} + i a \frac{z}{β l_{0}^{2}}) e^{i \frac{z}{2 β l_{0}^{2}} (\frac{y}{l_{0}} - \frac{z^{2}}{6 β^{2} l_{0}^{4}})} \times e^{a \frac{y}{l_{0}} - \frac{a z^{2}}{2 β^{2} l_{0}^{4}} + i \frac{a^{2} z}{2 β l_{0}^{2}}} .

(3)

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L_{abs}^{NIMM} = 0.1043 cm, L_{abs}^{metal} = 0.0167 cm .

(4)

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Figures&Tables (3)

References (20)

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Qi Zhang, Chaohua Tan, Chao Hang, Guoxiang Huang. Low-loss Airy surface plasmon polaritons[J]. Chinese Optics Letters, 2015, 13(8): 082401

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