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Fundamentals of Waveguide and Antenna Applications Involving DNG and SNG Metamaterials

Fundamentals of Waveguide and Antenna Applications Involving DNG and SNG Metamaterials. N. Engheta, A. Alù, and R. W. Ziolkowiski, Metamaterials – Physics and Engineering Explorations , Wiley, New York, Ch.2. Advisor: Prof. Ruey-Beei Wu Speaker: Ting-Yi Huang ( 黃定彝 ). Outlines. Introduction

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Fundamentals of Waveguide and Antenna Applications Involving DNG and SNG Metamaterials

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  1. Fundamentals of Waveguide and Antenna Applications Involving DNG and SNG Metamaterials N. Engheta, A. Alù, and R. W. Ziolkowiski, Metamaterials – Physics and Engineering Explorations, Wiley, New York, Ch.2 Advisor: Prof. Ruey-Beei Wu Speaker: Ting-Yi Huang (黃定彝)

  2. Outlines • Introduction • Subwavelength cavities and waveguides • Subwavelength cylindrical and spherical core-shell systems

  3. Introduction • Boundary condition • Interface resonance

  4. Subwavelength WG & Cavities (1/3) • 1D Parallel Plate Waveguide • For TE-polarization • Dispersion relation: • DPS-DPS: modes depends on d=d1+d2 • DPS-DNG: modes depends on d1/d2

  5. Subwavelength WG & Cavities (2/3) • DPS-DPS WG • DPS-DNG WG

  6. Subwavelength WG & Cavities (3/3) • Mode matching analysis DPS DPS DNG

  7. Equivalent Circuit (1/3) • Transverse magnetic (TMz) plane wave in homogeneous isotropic medium • Transmission line equation • Equivalent circuit elements

  8. Equivalent Circuit (2/3)

  9. Equivalent Circuit (3/3) • DPS-DPS WG • DPS-DNG WG

  10. Slab Waveguide (1/3) • Odd mode dispersion curve slab WG • DPS: • DNG: No cutoff thickness for the lowest branch 2d

  11. Slab Waveguide (2/3) • DPS slab • DNG slab

  12. Slab Waveguide (3/3) • Antidirectional coupler

  13. Sub-λ Core-Shell Systems (1/6) • Cross section of spherical structure • Resonant Condition ε2, μ2 ε1, μ1 a1 a ε0, μ0

  14. Sub-λ Core-Shell Systems (2/6) • Regions satisfy resonant condition • At least one layer with SNG/DNG materials ε2, μ2 ε1, μ1 a1 a ε0, μ0

  15. Sub-λ Core-Shell Systems (3/6) • Scattering coefficient vs. a1/a ε2, μ2 ε1, μ1 a1 a ε0, μ0 ε1 = -3ε0,ε2 = 10ε0 μ1 = μ2 = μ0

  16. Sub-λ Core-Shell Systems (4/6) • Scattering coefficient vs. a1/a ε2, μ2 ε1, μ1 a1 a ε0, μ0 a1 = 0.01λ0 ε1 = 10ε0,ε2 = ±1.2ε0 μ1 = μ2 = μ0

  17. Sub-λ Core-Shell Systems (5/6) • “Transparent” condition ε2, μ2 a1 = λ0/5, a = 1.087a1 PEC ε2 = 0.1ε0 a1 a μ2 = μ0 ε0, μ0

  18. Sub-λ Core-Shell Systems (6/6) • Without cover • With cover ε2, μ2 a1 = λ0/5, a = 1.087a1 PEC ε2 = 0.1ε0 a1 a μ2 = μ0 ε0, μ0

  19. Thanks for your attention.

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