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Simulation of practical nanometric optical circuits based on surface plasmon polariton gap waveguides

Kazuo Tanaka, Masahiro Tanaka, and Tatsuhiko Sugiyama

Open Access Open Access

Abstract

The feasibility of nanometric practical optical waveguide circuits based on surface plasmon polariton gap waveguides (SPGWs) is investigated in detail through three-dimensional simulations. H-plane planar branching waveguide circuits of subwavelength scale are shown to be possible using SPGWs. The waveguide characteristics of the circuits are found to be highly sensitive to the dimensions of the optical circuit, indicating that highly accurate computer-aided design and simulations are necessary for the construction of practical SPGW-based optical circuits.

©2005 Optical Society of America

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Figures (10)
Fig. 1.
Fig. 1. Schematic of an subwavelength-scale H-plane planar optical circuit with SPGWs

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Fig. 2.
Fig. 2. Optical intensities for (a) two-port, (b) three-port, and (c) four-port circuits consisting of straight SPGWs. White rectangular the shows the region C x×C y shown in Fig. 1.

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Fig. 3.
Fig. 3. Optical intensities for (a) two-port, (b) three-port, and (c) four-port circuits with round structures. White rectangle indicates the region C x×C y in Fig. 1.

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Fig. 4.
Fig. 4. (a) Two-dimensional distribution of optical intensity on the plane indicated by the dotted line in Fig. 3 (c). (b) One-dimensional distribution. White rectangle in (a) denotes the region Cy ×Cz shown in Fig. 1.

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Fig. 5.
Fig. 5. Optical intensities for (a) k 0 h=1.0, (b) k 0 h=0.6, and (c) k 0 h=0.2, where h is the height of the ridge structure given by h=C z-g in Fig. 1. White rectangle indicates the region Cx ×Cy shown in Fig. 1.

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Fig. 6.
Fig. 6. Optical intensities for (a) k 0 g=0.3 (b), (b) k 0 g=0.2 and (c) k 0 g=0.1. White rectangle indicates the region Cx ×Cy in Fig. 1.

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Fig. 7.
Fig. 7. Optical intensities for (a) k 0 w=0.1, (b) k 0 w=0.2, and (c) k 0 w=0.4. White rectangle indicates the region Cx ×Cy in Fig. 1.

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Fig. 8.
Fig. 8. Optical intensities for an interrupted port. The white rectangle in (b) indicates the region Cx ×Cy in Fig. 1.

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Fig. 9.
Fig. 9. (a) Structure of seven-port branching circuit with k 0 w=0.1, k 0 g=0.1, and k 0 h=1.0. (b) Two-dimensional distribution of optical intensity. White rectangle in (b) indicates the region Cx ×Cy in Fig. 1.

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Fig. 10.
Fig. 10. One-dimensional distribution of optical intensities along the white broken line for seven-ports branching circuit in Fig. 9 (b).

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Equations (3)

Equations on this page are rendered with MathJax. Learn more.

E i ( x ) = D ( x ) ⁄ ε r ( x ) − ( k 0 2 + ∇ ∇ • ) A ( x )
A ( x ) = ( 1 ⁄ ε 0 ) ∬ ∫ V { [ ε r ( x ′ ) − ε 0 ] ⁄ ε r ( x ′ ) } G ( x ∣ x ′ ) D ( x ′ ) dv ′
G ( x ∣ x ′ ) = exp ( − j k 0 ∣ x − x ′ ∣ ) ⁄ ( 4 π ∣ x − x ′ ∣ )
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