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(a) Comparison between dispersion diagram of three different SSPP structure: 3D SSPP (with large thickness), planar 2D SSPP with finite thickness (t = 2a), and thin film SSPP (with t→0). The other geometric parameters, i.e. groove length (h), groove width a, and periodicity d are taken as h = d ≈ 10a, and the external environment in all three cases consists of air. (b) Comparison between dispersion diagram of thin film SSPP structure (t→0) for two different cases: waveguide placed in air, and placed on a silicon substrate. The other geometric parameters are taken as h = d ≈ 10a. The strong impact of a substrate on shaping the dispersion characteristics of a thin film SSPP structure is vivid. The solid lines are from the developed theoretical model in this paper, while the discrete dots (filled circle) and (open circle) are obtained by FDTD numerical simulation in COMSOL <t>Multiphysics,</t> v. 5.2; Comsol, Inc.
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(a) Comparison between dispersion diagram of three different SSPP structure: 3D SSPP (with large thickness), planar 2D SSPP with finite thickness (t = 2a), and thin film SSPP (with t→0). The other geometric parameters, i.e. groove length (h), groove width a, and periodicity d are taken as h = d ≈ 10a, and the external environment in all three cases consists of air. (b) Comparison between dispersion diagram of thin film SSPP structure (t→0) for two different cases: waveguide placed in air, and placed on a silicon substrate. The other geometric parameters are taken as h = d ≈ 10a. The strong impact of a substrate on shaping the dispersion characteristics of a thin film SSPP structure is vivid. The solid lines are from the developed theoretical model in this paper, while the discrete dots (filled circle) and (open circle) are obtained by FDTD numerical simulation in COMSOL Multiphysics, v. 5.2; Comsol, Inc.

Journal: Proceedings. Mathematical, Physical, and Engineering Sciences

Article Title: Properties of spoof plasmon in thin structures

doi: 10.1098/rspa.2018.0205

Figure Lengend Snippet: (a) Comparison between dispersion diagram of three different SSPP structure: 3D SSPP (with large thickness), planar 2D SSPP with finite thickness (t = 2a), and thin film SSPP (with t→0). The other geometric parameters, i.e. groove length (h), groove width a, and periodicity d are taken as h = d ≈ 10a, and the external environment in all three cases consists of air. (b) Comparison between dispersion diagram of thin film SSPP structure (t→0) for two different cases: waveguide placed in air, and placed on a silicon substrate. The other geometric parameters are taken as h = d ≈ 10a. The strong impact of a substrate on shaping the dispersion characteristics of a thin film SSPP structure is vivid. The solid lines are from the developed theoretical model in this paper, while the discrete dots (filled circle) and (open circle) are obtained by FDTD numerical simulation in COMSOL Multiphysics, v. 5.2; Comsol, Inc.

Article Snippet: The solid lines are from the developed theoretical model in this paper, while the discrete dots (filled circle) and (open circle) are obtained by FDTD numerical simulation in COMSOL Multiphysics, v. 5.2; Comsol, Inc. fig ft0 fig mode=article f1 fig/graphic|fig/alternatives/graphic mode="anchored" m1 Open in a separate window Figure 3. caption a7 ( a ) Illustration of confined E x field profile in 2D transverse Y Z plane for a unit cell of SSPP waveguide, while the mode propagates along X direction.

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(a) Illustration of confined Ex field profile in 2D transverse Y Z plane for a unit cell of SSPP waveguide, while the mode propagates along X direction. Field profile along Y axis is labelled as laterally confined field (red in colour), and that along Z direction as vertically confined field (blue in colour). (b) Simulation result of the profile of electric field component (Ex) taken along a line crossing through an SSPP unit cell of 8 μm thickness at a frequency ωp/2, where ωp = πc/2h. Note the peculiar hyperbolic field distribution of cosh(|P|y) spatial dependence inside the groove. (c) Modulation of bandwidth of a thin film (t→0) SSPP structure and an infinitely thick (t→∞) SSPP structure with the change of the refractive index of the substrate/external environment. For thin planar structure, we vary the index of the substrate underneath the waveguide, whereas for infinitely thick structure, refractive index of the dielectric half-space outside of the SSPP waveguide is varied. The diagrams are drawn for groove length h = 10d ,and groove width a=d10. Solid lines are obtained by the theory established in this paper, while the discrete circles (o) and triangles (Δ) are obtained via numerical simulation in COMSOL Multiphysics [36]

Journal: Proceedings. Mathematical, Physical, and Engineering Sciences

Article Title: Properties of spoof plasmon in thin structures

doi: 10.1098/rspa.2018.0205

Figure Lengend Snippet: (a) Illustration of confined Ex field profile in 2D transverse Y Z plane for a unit cell of SSPP waveguide, while the mode propagates along X direction. Field profile along Y axis is labelled as laterally confined field (red in colour), and that along Z direction as vertically confined field (blue in colour). (b) Simulation result of the profile of electric field component (Ex) taken along a line crossing through an SSPP unit cell of 8 μm thickness at a frequency ωp/2, where ωp = πc/2h. Note the peculiar hyperbolic field distribution of cosh(|P|y) spatial dependence inside the groove. (c) Modulation of bandwidth of a thin film (t→0) SSPP structure and an infinitely thick (t→∞) SSPP structure with the change of the refractive index of the substrate/external environment. For thin planar structure, we vary the index of the substrate underneath the waveguide, whereas for infinitely thick structure, refractive index of the dielectric half-space outside of the SSPP waveguide is varied. The diagrams are drawn for groove length h = 10d ,and groove width a=d10. Solid lines are obtained by the theory established in this paper, while the discrete circles (o) and triangles (Δ) are obtained via numerical simulation in COMSOL Multiphysics [36]

Article Snippet: The solid lines are from the developed theoretical model in this paper, while the discrete dots (filled circle) and (open circle) are obtained by FDTD numerical simulation in COMSOL Multiphysics, v. 5.2; Comsol, Inc. fig ft0 fig mode=article f1 fig/graphic|fig/alternatives/graphic mode="anchored" m1 Open in a separate window Figure 3. caption a7 ( a ) Illustration of confined E x field profile in 2D transverse Y Z plane for a unit cell of SSPP waveguide, while the mode propagates along X direction.

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