plasmonic waveguide analysis · film. cladding. x y z. plasmonic waveguide. x y a − a. ε. c. ε....

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Plasmonic Waveguide Analysis

User Presentations, - RF, Microwave and Plasma

Sergei Yushanov, Jeffrey Crompton, and Kyle Koppenhoefer

8 October 2015

1


Objective

• Provide comparison of numerical and analytic solutions for a plasmonic waveguide

• Extend solution method to surface plasmoncoplanar waveguide

2


What is a Surface Plasmon?

• Electromagnetic excitations that propagate at the interface between a dielectric and a conductor

• Evanescently confined in the perpendicular direction to the propagation

• Arise by coupling of the electromagnetic field to oscillations of the conductor’s electron plasma

• Everyday example – stained glass

3


guided wave

substrate

film

cladding

x

y

z

plasmonic waveguide

x

y

aa−

cε

sεfε

Dielectric-metal dielectric (DMD) and metal-dielectric-metal (MDM)

Only TM plasmonic modes will be considered

Plasmonic Waveguide Geometry

Two-dimensional model


Physics

( ) 01

0

20 =

−−×∇×∇ EEωεσε

µjk r

r

Maxwell’s Wave Equation:

Electromagnetic Waves, Frequency Domain (emw) physics interface is used to solve governing equation

Electric field components are solved for “In-plane vector”.

5


cε

fε

sε

Num

eric

Por

t

Num

eric

Por

ta2x

y

Physics – Boundary Conditions

Wave excitation = “On”Launches wave

Wave excitation = “Off”Maintains mode of

launched wave in x -dir

Boundary Conditions IrrelevantFar from interface


Material Properties – Dielectric Constants

cε

fε

sεN

umer

ic P

ort

Num

eric

Por

ta2x

y

Configuration Substrate, Film, Cladding,

DMD 1.7 -4 3.5

MDM -1.6 2.2 -4

sε fε cε

7


Solution Method

• Two boundary mode analysis steps– Eigenvalue solution for the fields and propagation

constants at the boundaries

• Frequency domain step

8


Comparison with Analytic Solution

cε

fε

sε

a2

x

y

9


Comparison with Analytic Solution

cε

fε

sε

a2

x

y

10


Electric field distribution - DMD waveguide

THzf 54.9= THzf 8.66=

11


Coplanar Waveguide Problem

nmgw 50==nmh 100=

2SiO

Silver

Drude model dielectric function

nm15000 =λ

8.32=SiOε

12


Electric Field – Longitudinal Component

Even Modes

Surface PlasmonCoplanar Waveguide

13


Electric Field – Longitudinal Component

Odd Modes

Surface PlasmonCoplanar Waveguide

14


Summary

• Plasmonic layered waveguide (DMD and MDM) analyzed

• Comparison with analytical solution verifies methodology

• Technique extended to surface plasmon coplanar waveguide

15

plasmonic waveguide analysis · film. cladding. x y z. plasmonic waveguide. x y a − a. ε. c. ε....

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