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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. Introduction (Photonic Crystals)

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Proposal of the study on

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  1. 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

  2. Outline • Introduction (Photonic Crystals) • Motivation (Dispersion Issues) • Technical Approach (Biperiodicity) • Future Work and Concluding Remarks (3D Analysis)

  3. Outline • Introduction (Photonic Crystals) • Motivation (Dispersion Issues) • Technical Approach (Biperiodicity) • Future Work and Concluding Remarks (3D Analysis)

  4. Wave Phenomena at an Interface (I) • Homogeneous media • Angular dependence • Spectral dependence (dispersion): the prism effect Refracted (Transmitted) Reflected Incident Medium 1 Medium 2

  5. Wave Phenomena at an Interface (II) • Inhomogeneous media: lots of scattered wavelets • Transmission (forward-scattering) and reflection (back-scattering) in many directions Reflected Transmitted Incident Medium 1 Medium 2

  6. Wave Phenomena at an Interface (III) • Periodic media • Angular and spectral dependence (dispersion) • Diffraction: (guiding and bandgap) Diffracted- Diffracted- Diffracted+ NO Diffracted+ Guiding Bandgap

  7. Photonic Crystals on Wikipedia http://en.wikipedia.org/wiki/Photonic_crystals

  8. An Introduction to Photonic Crystals (2) • (2D) Periodic index of refraction • Optical counterparts of semiconductors • Photonic band gap (PBG) and light steering

  9. Outline • Introduction (Photonic Crystals) • Motivation (Dispersion Issues) • Technical Approach (Biperiodicity) • Future Work and Concluding Remarks (3D Analysis)

  10. Mode Dispersion (TM) Frequency, ωa/(2πc) Phase Constant, ka/π Photonic Crystal Waveguides • Removing a line of air holes • Modegap, nonlinear dispersion, and loss

  11. Outline • Introduction (Photonic Crystals) • Motivation (Dispersion Issues) • Technical Approach (Biperiodicity) • Future Work and Concluding Remarks (3D Analysis)

  12. 2r 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

  13. Transmission Coefficient Normalized Frequency, ωa/(2πc) Problems • Experimental results • Low loss A fabricated biperiodic PCW

  14. Proposed Plan • 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

  15. Concluding Remarks • Time- and frequency-domain methods • Fabrication imperfections • Wideband characterization

  16. Thanks for Your Attention

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