1 / 17

Superprism Effect and EBG Antenna Applications in Photonic Crystals Report

This report delves into the Floquet-Bloch transform, Superprism effect, and Antenna applications in Photonic Crystals. It explores practical structures, dispersion relations, and the impact on group velocities. Learn about controlling antenna propagation and invisible cloak applications. References include well-known physics and engineering resources.

falconer
Download Presentation

Superprism Effect and EBG Antenna Applications in Photonic Crystals Report

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. Superprism effect and EBG antenna applications Reporter:楊岡昀 Date:2010/5/20

  2. Outlines • Floquet-Bloch transform • Some practical structure of PC • Superprism effect • Antenna applications

  3. Floquet-Bloch transform • Some hypotheses: • Size of PC is much larger than the wavelength • The surface of the PC can be considered as a plane

  4. The Floquet-Bloch theorem • Any function satisfying can be represented as • And • This is Floquet-Bloch transform

  5. Proof • Use reverse Fourier transform we have

  6. Field coupling • Consider a incident wave Eiand refraction wave Er and transmission wave Et • Dispersion relation:

  7. Field coupling

  8. Some practical structure of PC • The blue triangle in the figure is the first Brillouin’s zone

  9. Brillouin’s zone • For 1D condition, Ɛ(x+a)=Ɛ(x) the first Brillouin’s zone is • Extend this concept to 3D

  10. Some practical structure of PC

  11. Some practical structure of PC

  12. Superprism effect • Group velocity effect • Group velocity change sharply

  13. Superprism effect • Chromatic dispersion effect • The amp also change with the freq

  14. Antenna applications • We can use PC to control the propagation direction of antenna

  15. Antenna applications • The experiment result :

  16. More applications of PC • PCF(Photonic crystal fibers) • Invisible cloak

  17. References • METAMATERIALS Physics and Engineering Explorations, NADER ENGHETA/RICHARD W. ZIOLKOWSKI • Semiconductor Physics and Devices, D.A. Neamen • Handout of the lesson 光子晶體 (Photonic Crystals), which is held by Professor 邱奕鵬

More Related