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Slide #1CENTER FOR
INTEGRATED ACCESS NETWORKS
Simulations of Electromagnetic Fields in
Photonic Nanostructures
Leonardo Alexander Frem, Undergraduate Student
San Diego City College
Slide #2CENTER FOR
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Presentation Outline
1. Grid of Nanoparticles
a) 1-D Case
b) 2-D Case
c) 2-D Case with Sequentially Twisted Ellipsoids
2. Computing Efficiency
3. Importance of Research
Slide #3CENTER FOR
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Grid of Nanoparticles
Slide #4CENTER FOR
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1-D Case: Specifications
x
y
z
Slide #5CENTER FOR
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BICGSTAB
Solve via FFT
Ax = b
Dipole Moment
Dyadic Green’s Function
d
k
Slide #6CENTER FOR
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1-D Case:
Polarization Magnitude Vs. Number of Particles
X-Direction Y-Direction
Z-Direction
Slide #7CENTER FOR
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2-D Case: Specifications
Slide #8CENTER FOR
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Slide #9CENTER FOR
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 b is the same as in 1-D case
 Zx = b solved using FFTs in 2D
Dipole Moment
BICGSTAB
Dyadic Green’s
Function
Z b
Slide #10CENTER FOR
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2-D Case:
Polarization Magnitude Vs. Particles
X-Direction Y-Direction
Z-Direction
Slide #11CENTER FOR
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2-D Case with Sequentially Twisted Ellipsoids:
Specifications
Slide #12CENTER FOR
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Dipole Moment
BICGSTAB
Dyadic Green’s
Function
Z b S
Slide #13CENTER FOR
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2-D Case with Sequentially Twisted Ellipsoids:
Polarization Magnitude Vs. Number of Particles
X-Direction Y-Direction
Z-Direction
Slide #14CENTER FOR
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2-D Case with Sequentially Twisted Ellipsoids:
Scattered Radiation Pattern as Function of the Incident Angle
Radiation(dB)
Angle of Incidence (º)
Slide #15CENTER FOR
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Computing Efficiency
Slide #16CENTER FOR
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Importance of Research
 Optics and Microwave Engineering
Yagi Uda Antenna Liquid Crystal
Twisted Fiber
Slide #17CENTER FOR
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Acknowledgments
 CIAN and STARS programs
 Vitaliy Lomakin, Ph.D.
 Qian Ding, M.S.
 Derek Van Orden, Ph.D.
 Marco Escobar, M.S.
 Javier Espigares, B.S.
Slide #18CENTER FOR
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Frem