1 / 26

Theoretical analysis of photonic crystals

Theoretical analysis of photonic crystals. Ph.D. proposal. by Inna Nusinsky-Shmuilov. Supervisor: Prof. Amos Hardy. Department of Electrical Engineering–Physical Electronics. Faculty of Engineering, Tel Aviv University. Outline. Research subject and scientific background.

hadassah-lawrence
Download Presentation

Theoretical analysis of photonic crystals

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Theoretical analysis of photonic crystals Ph.D. proposal by Inna Nusinsky-Shmuilov Supervisor: Prof. Amos Hardy Department of Electrical Engineering–Physical Electronics Faculty of Engineering, Tel Aviv University

  2. Outline Research subject and scientific background The main goal and expected significance Preliminary work and results Research plan

  3. Research subject 1D PC 2D PC 3D PC Photonic crystals have a periodic variation in therefractiveindex in specific directions. Creation of a periodicity prevents the propagation of electromagnetic waves with certain frequencies gap

  4. Research subject Extended defects Point defect Linear defect Breaking the periodicity cancreate new energy levels within the photonic band gap Defect can control the propagation of the light Applications: sharp band waveguides, filters, low threshold lasers, micro cavities, couplers…

  5. Scientific background Existing numerical techniques • Plane wave expansion method • FDTD • Transfer matrix method

  6. Scientific background Analytically solvable structures (2D) • Asymptotic structure • Separable structure

  7. Main goals and expected significance • To investigate photonic crystals numerically as well as by means of new approximate analytical models • To employ the new analytical models to investigate photonic crystals properties, to predict and explain their behaviour • To find the conditions and photonic crystals' parameters required for their optimal performance Deeper understanding of physical processes in photonic crystals Practical significance for development new devices

  8. Preliminary work and results Bloch theorem -periodic One dimensional photonic crystals (exact analytical model) • Hill's equation

  9. Preliminary work and results real complex One dimensional photonic crystals (exact analytical model) propagating solutions decaying solutions (gap) Position of the gap edges: gap edges Gap closing:

  10. Preliminary work and results 1.Brewster closing points m gap number One dimensional photonic crystals (gap closing points) Two types of gap closing points: Exist only for TM polarization 2. Identical for TE and TM First gap has only one closing point (Brewster) Don’t exist in the first gap Omnidirectional reflection Inna Nusinsky and Amos A.Hardy, "Band gap-analysis of one-dimensional photonic crystals and conditions for gap closing", Phys. Rev. B , 73, p.125104 (2006)

  11. Preliminary work and results Light line: One dimensional photonic crystals (gap closing points) Condition for omnidirectional reflection from higher order gaps Condition for existing M omnidirectional gaps:

  12. Preliminary work and results One dimensional photonic crystal (omnidirectional reflection) Applications:eye-protection glasses, air-guiding hollow optical fibers, dielectric coaxial waveguides, light-emitting diodes, VCSELs Inna Nusinsky and Amos A.Hardy, “Omnidirectional reflection in several frequency ranges of one dimensional photonic crystals", Appl. Opt. 45(15), (2007)

  13. Preliminary work and results n1=1 n2=2.1 a=0.85L b=0.15L H polarization E polarization 2D photonic crystals (approximate analytical model) Assumption: b is sufficiently small

  14. Preliminary work and results n1=2.1 n2=1 a=0.85 b=0.15 H-polarization E-polarization 2D photonic crystals (cont.) The band gap edges are located at one of the high symmetry points: Γ, X or M For H-polarization, the gap between second and third bandis easily opened and is wider than the lower gap (between first and second bands) Inna Nusinsky and Amos A.Hardy, “Approximate analytical calculations of two dimensional photonic crystals with square geometry“, in preparation

  15. Preliminary work and results Large area single mode operation in gain guidedfibers A.E.Siegman, JOSA A, 20 (8),p.1617 (2003) A.E.Siegman et. al, APL 89,p.251101 (2006) gain The gain guiding effect is weak Very large gain coefficient is needed

  16. Preliminary work and results 37.6dB/m 20.5dB/m 10.3dB/m 4dB/m Large area single mode operation in gain guidedfibers Applications:Large area single mode fiber lasers and amplifiers

  17. Preliminary work and results Publications 1.Inna Nusinsky and Amos A.Hardy, "Band gap-analysis of one-dimensional photonic crystals and conditions for gap closing", Phys. Rev. B , 73, p.125104 (2006) 2.Inna Nusinsky and Amos A.Hardy, “Omnidirectional reflection in several frequency ranges of one dimensional photonic crystals", Appl. Opt. 45 (15), (2007) 3.Inna Nusinsky and Amos A.Hardy, “Approximate analytical calculations of two dimensional photonic crystals with square geometry“, in preparation

  18. Research plan Done In progress Preliminary work

  19. Thank you

  20. Appendix

  21. Appendix 1st gap 2nd gap 3rd gap missing both missing outside missing outside both outside

More Related