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3D FDTD Code for Quantitative Study and Characterization of Biperiodic Photonic Crystal Waveguides. Proposal of the study on. By. School of Electrical and Computer Engineering Georgia Institute of Technology. Aliakbar Jafarpour. March 31 , 2005. Outline. Introduction (Photonic Crystals)

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Proposal of the study on

3D FDTD Code for Quantitative Study and Characterization of Biperiodic Photonic Crystal Waveguides

Proposal of the study on

By

School of Electrical and Computer Engineering

Georgia Institute of Technology

Aliakbar Jafarpour

March 31, 2005


Outline
Outline Biperiodic Photonic Crystal Waveguides

  • Introduction (Photonic Crystals)

  • Motivation (Dispersion Issues)

  • Technical Approach (Biperiodicity)

  • Future Work and Concluding Remarks (3D Analysis)


Outline1
Outline Biperiodic Photonic Crystal Waveguides

  • Introduction (Photonic Crystals)

  • Motivation (Dispersion Issues)

  • Technical Approach (Biperiodicity)

  • Future Work and Concluding Remarks (3D Analysis)


Wave phenomena at an interface i
Wave Phenomena at an Interface (I) Biperiodic Photonic Crystal Waveguides

  • Homogeneous media

  • Angular dependence

  • Spectral dependence (dispersion): the prism effect

Refracted (Transmitted)

Reflected

Incident

Medium 1

Medium 2


Wave phenomena at an interface ii
Wave Phenomena at an Interface (II) Biperiodic Photonic Crystal Waveguides

  • Inhomogeneous media: lots of scattered wavelets

  • Transmission (forward-scattering) and reflection (back-scattering) in many directions

Reflected

Transmitted

Incident

Medium 1

Medium 2


Wave phenomena at an interface iii
Wave Phenomena at an Interface (III) Biperiodic Photonic Crystal Waveguides

  • Periodic media

  • Angular and spectral dependence (dispersion)

  • Diffraction: (guiding and bandgap)

Diffracted-

Diffracted-

Diffracted+

NO Diffracted+

Guiding

Bandgap


Photonic crystals on wikipedia
Photonic Crystals on Wikipedia Biperiodic Photonic Crystal Waveguides

http://en.wikipedia.org/wiki/Photonic_crystals


An introduction to photonic crystals 2
An Introduction to Photonic Crystals (2) Biperiodic Photonic Crystal Waveguides

  • (2D) Periodic index of refraction

  • Optical counterparts of semiconductors

  • Photonic band gap (PBG) and light steering


Outline2
Outline Biperiodic Photonic Crystal Waveguides

  • Introduction (Photonic Crystals)

  • Motivation (Dispersion Issues)

  • Technical Approach (Biperiodicity)

  • Future Work and Concluding Remarks (3D Analysis)


Photonic crystal waveguides

Mode Dispersion (TM) Biperiodic Photonic Crystal Waveguides

Frequency, ωa/(2πc)

Phase Constant, ka/π

Photonic Crystal Waveguides

  • Removing a line of air holes

  • Modegap, nonlinear dispersion, and loss


Outline3
Outline Biperiodic Photonic Crystal Waveguides

  • Introduction (Photonic Crystals)

  • Motivation (Dispersion Issues)

  • Technical Approach (Biperiodicity)

  • Future Work and Concluding Remarks (3D Analysis)


Biperiodic pcws

2r Biperiodic Photonic Crystal Waveguides

a’

a

a

2r

Biperiodic PCWs

  • Periodic (1D)

  • Perturbing the periodicity

  • Analysis of non-periodic structures

A periodic PCW

Dispersion diagram of different PCWs

A biperiodic PCW


Problems

Transmission Coefficient Biperiodic Photonic Crystal Waveguides

Normalized Frequency, ωa/(2πc)

Problems

  • Experimental results

  • Low loss

A fabricated biperiodic PCW


Proposed plan
Proposed Plan Biperiodic Photonic Crystal Waveguides

  • Developing a 3D FDTD code

    • Test and debug

    • Incorporate sources

  • Calculating the loss of biperiodic and other photonic crystal waveguides

  • Comparing with experimental results

  • Incorporating nonlinearities


Concluding remarks
Concluding Remarks Biperiodic Photonic Crystal Waveguides

  • Time- and frequency-domain methods

  • Fabrication imperfections

  • Wideband characterization


Thanks for your attention
Thanks for Your Attention Biperiodic Photonic Crystal Waveguides


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