LOGIN TO YOUR ACCOUNT

Username
Password
Remember Me
Or use your Academic/Social account:

CREATE AN ACCOUNT

Or use your Academic/Social account:

Congratulations!

You have just completed your registration at OpenAire.

Before you can login to the site, you will need to activate your account. An e-mail will be sent to you with the proper instructions.

Important!

Please note that this site is currently undergoing Beta testing.
Any new content you create is not guaranteed to be present to the final version of the site upon release.

Thank you for your patience,
OpenAire Dev Team.

Close This Message

CREATE AN ACCOUNT

Name:
Username:
Password:
Verify Password:
E-mail:
Verify E-mail:
*All Fields Are Required.
Please Verify You Are Human:
fbtwitterlinkedinvimeoflicker grey 14rssslideshare1
Languages: English
Types: Unknown
Subjects:

Classified by OpenAIRE into

arxiv: Physics::Optics
Similarities in the form of the Schrodinger equation that governs the behaviour of electronic wavefunctions, and Maxwell’s equations which govern the behaviour of electromagnetic waves, allow ideas that originated in solid state physics to be easily applied to electromagnetic waves in photonic structures. While electrons moving through a semiconductor experience a periodic variation in charge, in a photonic crystal electromagnetic waves experience a periodic variation in refractive index. This leads to ideas such as bandstructure being applicable to the one and two dimensional photonic crystals used in this work. The following work will contain theoretical and experimental studies of the transmission through, and electric fields within, one dimensional photonic crystals. A slow variation in the structure of these crystals will lead to the bandstructure shifting, with an photonic analogy of electronic Bloch oscillations and Wannier-Stark ladders being seen in these structures. The two dimensional photonic crystals will be shown, through Hamiltonian ray tracing, to support both stable and chaotic ray paths. Examination of the phase space reveals the existence of ‘Dynamical Barriers’, regions in phase space supporting stable ray trajectories that divide separate regions in which the ray trajectories are chaotic. Various manners in which the bandstructure may be varied will be presented, along with a proposed switch that may be made using these structures. While the ray tracing will be carried out in photonic crystals in the limit of infinitesimally thin dielectric sheets, the model will then be developed to show the bandstructure of a photonic crystal made from finite width dielectric sheets, with examples of dispersion surfaces for these structures being presented.
  • The results below are discovered through our pilot algorithms. Let us know how we are doing!

    • [2] C. M. Soukoulis et al. Photonic Band Gap Materials. Springer, 1996.
    • [16] D. Park. Introduction to quantum theory. McGraw-Hill, 2005.
    • [17] P.St.J. Russell. Photonic band gaps. Physics World, pages 37-42, 1992.
    • [18] P.St.J. Russell. Designing Photonic Crystals, a chapter in 'Proceedings of the International School of Physics 'Enrico Fremi': Electron and Photon Confinement in Semiconductor Nanostructures'. IOS Press Ohmsha, 2003.
    • [19] P.St.J. Russell and T.A. Birks. Hamiltonian optics of nonuniform photonic crystals. Journal of Lightwave Technology, 17:1982-1988, 1999.
    • [20] J.D. Patterson and B.C. Bailey. Solid-State Physics:Introduation to the Theory. Springer, 2007.
    • [36] E. Ott. Chaos in Dynamical Systems. Cambridge University press, 1993.
    • [37] L.E. Reichl. The Transition to Chaos. Springer-Verlag New York, 2004.
    • [72] G.B. Whitham. Linear and Nonlinear Waves. John Wiley & Sons, 1974.
    • [73] J.M. Stone. Radiation and Optics. McGraw-Hill, 1963.
    • [74] P.B. Wilkinson et al. Electromagnetic wave chaos in gradient refractive index optical cavities. Phys. Rev. Lett., 86, 2001.
  • No related research data.
  • No similar publications.

Share - Bookmark

Cite this article