serna@unex.es http://albertosernait.es @SernaOnline

Electromagnetic Characterization of Periodic Plasmonic Materials

Alberto Serna Martín

Doctorado en Tecnología Aeroespacial Ingenierías Electromagnética, Electrónica, Informática y Mecánica

Advisor: Ph.D. Luis Landesa Porras 9 de septiembre de 2015

serna@unex.es http://albertosernait.es @SernaOnline

• Introduction

• Periodic structures and slotFFT

• Acceleration through matrix compression

• Achieved results

• Current lines and near future goals

Outline

1

serna@unex.es http://albertosernait.es @SernaOnline

• Method of Moments

• Finite Element Method

• Etc.

Introduction

2

serna@unex.es http://albertosernait.es @SernaOnline

• 3x3x3 3,42 GB

Introduction

3

serna@unex.es http://albertosernait.es @SernaOnline

• 3x3x3 3,42 GB

• 10x10x3 419,00 GB

Introduction

4

serna@unex.es http://albertosernait.es @SernaOnline

• 3x3x3 3,42 GB 1,01 GB (3D)

• 10x10x3 419,00 GB 11,20 GB (3D)

Periodic structures and slotFFT

5

serna@unex.es http://albertosernait.es @SernaOnline

• Convergence time

– Cell size

– Number of periodic dimensions

Periodic structures and slotFFT

6

serna@unex.es http://albertosernait.es @SernaOnline

• Convergence time

– Cell size

– Number of periodic dimensions

• Upcoming challenges

– Massive number of elements

Periodic structures and slotFFT

7

serna@unex.es http://albertosernait.es @SernaOnline

• Convergence time

– Cell size

– Number of periodic dimensions

• Upcoming challenges

– Massive number of elements

• Photonic crystal of 200 elements

– 5 periodic dimensions (1,2TB RAM)

Periodic structures and slotFFT

8

serna@unex.es http://albertosernait.es @SernaOnline

• Domain change in Z matrix

Acceleration through matrix compression

9

serna@unex.es http://albertosernait.es @SernaOnline

• Domain change in Z matrix

• G matrix

– Describes the way an object radiates energy

– SVD macrobasis

Acceleration through matrix compression

10

serna@unex.es http://albertosernait.es @SernaOnline

• Domain change in Z matrix

• G matrix

– Describes the way an object radiates energy

– SVD macrobasis

• Precision – acceleration compromise

Acceleration through matrix compression

11

serna@unex.es http://albertosernait.es @SernaOnline

• High precision loss due to the evanescent fields

– Unacceptable in resonating structures

Improving precision through thresholds

12

serna@unex.es http://albertosernait.es @SernaOnline

• Self-coupling and adjacent impedance matrices are calculated with MoM

– Determined by the application of a threshold

Improving precision through thresholds

13

serna@unex.es http://albertosernait.es @SernaOnline

Achieved results

14

• 4x4x4 array of dielectric spheres @ 785nm

– 60/540 macrobasis

serna@unex.es http://albertosernait.es @SernaOnline

• Study of the precision-acceleration compromise

• Implementation of a new preconditioner to improve convergence speed in periodic structures

• Analysis of real and reference examples

Current lines and near future goals

15

serna@unex.es http://albertosernait.es @SernaOnline

Thanks for your attention

16