1 / 37

Introduction, History, and Selected Topics in Fundamental Theories of Metamaterials

Introduction, History, and Selected Topics in Fundamental Theories of Metamaterials. N. Engheta and R. W. Ziolkowiski, Metamaterials – Physics and Engineering Explorations , Wiley, New York, Ch.1. Advisor: Prof. Ruey-Beei Wu Speaker: Ting-Yi Huang ( 黃定彝 ). Outlines. Introduction

haber
Download Presentation

Introduction, History, and Selected Topics in Fundamental Theories of Metamaterials

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. Introduction, History, and Selected Topics in Fundamental Theories of Metamaterials N. Engheta and R. W. Ziolkowiski, Metamaterials – Physics and Engineering Explorations, Wiley, New York, Ch.1 Advisor: Prof. Ruey-Beei Wu Speaker: Ting-Yi Huang (黃定彝)

  2. Outlines • Introduction • Theory and simulation • Interesting phenomena • Basic Applications • Conclusion

  3. Outlines • Introduction • History • Basic concepts • Theory and simulation • Interesting phenomena • Basic Applications • Conclusion

  4. History (1/5) • Microwave experiment on twisted structures by Jagadis Chunder Bose, 1898 B: radiating box P: polarizer A: analyzer S, S’: screen R: receiver J. C. Bose, “On the rotation of plane of polarisation of electric waves by a twisted structure,” Proc. Roy. Soc., vol. 63, pp. 146–152, 1898.

  5. History (2/5) • Artificial chiral media by embedding randomly oriented small wire helices in host media, Lindman, 1914 O: transmitter I: indicator B, U: metal tubes R: sensor dipole T: tuner V, G: display M: chiral medium I. V. Lindell, A. H. Sihvola, and J. Kurkijarvi, “Karl F. Lindman: The last Hertzian, and a Harbinger of electromagnetic chirality,” IEEE Antennas Propag. Mag., vol. 34, no. 3, pp. 24–30, 1992

  6. History (3/5) • Lightweight microwave lenses by periodical spheres, disks, and strips, Kock, 1948 W. E. Kock, “Waveguide lens system,” U.S. Patent 2,596,251, May 13, 1952.

  7. History (4/5) • Theoretical study on plane wave propagation in materials with negative permittivity and permeability, Veselago, 1967 V. G. Veselago, “The electrodynamics of substances with simultaneously negative values of ε and μ,” Sov. Phys. Uspekhi, vol. 10, no. 4, pp. 509–514, 1968. [Usp. Fiz. Nauk, vol. 92, pp. 517–526, 1967.]

  8. History (5/5) • Anomalous refraction in composite medium, Smith and Schultz, 2000 R. A. Shelby, D. R. Smith, and S. Schultz, “Experimental verification of a negative index of refraction,” Science, vol. 292, no. 5514, pp. 77–79, 6 Apr. 2001

  9. Basic Concepts (1/2) • Names and terminologies • Left-hand media • Media with negative refraction index • Backward-wave media • Double-negative (DNG) metamaterials

  10. Basic Concepts (2/2) • Classification • Double positive (DPS) medium • Epsilon-negative (ENG) medium • Mu-negative (MNG) medium • Double-negative (DNG) medium

  11. Outlines • Introduction • Theory and simulation • Material models • Wave parameters • FDTD simulations • Causality • Interesting phenomena • Basic Applications • Conclusion

  12. Material Models (1/2) • Lorentz model : damping coefficient : coupling coefficient resonant at f0 for : electric susceptibility

  13. Material Models (2/2) • Special cases producing negative ε • Debye model: small acceleration • Drude model: negligible restoring force – negative for – plasma frequency

  14. Wave Parameters • DNG media with small loss • Wavenumber and impedance • Index of refraction

  15. FDTD Simulations (1/2) • Finite-difference time-domain (FDTD) method … … K. S. Yee, “Numerical solution of initial boundary value problems involving Maxwell's equations in isotropic media,” IEEE Trans. Antennas Propagat., vol. 14, pp. 302-307, May 1966

  16. FDTD Simulations (2/2) • Lossy Drude polarization/magnetization model • Model implementation in FDTD

  17. Causality • Nondispersive DNG medium is noncausal

  18. Outlines • Introduction • Theory and simulation • Interesting phenomena • Scattering • Backward waves • Negative refraction • Basic Applications • Conclusion

  19. Scattering • Scattering with DNG slab • Growing evanescent wave in matched DNG slab

  20. Backward waves

  21. Negative Refraction (1/2) • Snell’s Law

  22. Negative Refraction (2/2) • In DNG media • For matched low loss DNG slab

  23. Outlines • Introduction • Theory and simulation • Interesting phenomena • Basic Applications • Phase compensation • Dispersion compensation • Subwavelength focusing • Zero index of refraction • Conclusion

  24. Phase Compensation • Phase difference • Zero phase difference • Time-delayed WG with zero phase delay

  25. Dispersion Compensation

  26. Subwavelength Focusing (1/6) • Perfect focusing • Paraxial focusing y = 2d n=1 n=1 n=-1 n=-2 y = -2d

  27. Subwavelength Focusing (2/6) • Perfect focus solution:

  28. Subwavelength Focusing (3/6) • Paraxial foci

  29. Subwavelength Focusing (4/6) • Source far from the slab

  30. Subwavelength Focusing (5/6) • Gaussian beam with two different slabs

  31. Subwavelength Focusing (6/6) • Planoconcave DNG lens

  32. Zero Index of Refraction (1/3) • Matched zero-index medium • Maxwell’s equations Automatically satisfied for finite fields

  33. Zero Index of Refraction (2/3) • Infinite cylindrical zero-index medium ⊙

  34. Zero Index of Refraction (3/3)

  35. Outlines • Introduction • Theory and simulation • Interesting phenomena • Basic Applications • Conclusion

  36. Conclusion • Summary • Fundamental properties of DNG metamaterials • Interesting, unconventional features • Future work • More comprehensive review • Future potential applications

  37. Thanks for your attention.

More Related