National Taiwan University Fundamentals of Waveguide and Antenna

National Taiwan University 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) 2010/03/04

Outlines n n n 2 Introduction Subwavelength cavities and waveguides Subwavelength cylindrical and spherical core-shell systems National Taiwan University

Introduction 3 n Boundary condition n Interface resonance National Taiwan University

Subwavelength WG & Cavities (1/3) n 1 D Parallel Plate Waveguide n For TE-polarization n 4 Dispersion relation: DPS-DPS: modes depends on d=d 1+d 2 DPS-DNG: modes depends on d 1/d 2 National Taiwan University

Subwavelength WG & Cavities (2/3) n 5 DPS-DPS WG n DPS-DNG WG National Taiwan University

Subwavelength WG & Cavities (3/3) n Mode matching analysis DPS DNG 6 National Taiwan University

Equivalent Circuit (1/3) n 7 Transverse magnetic (TMz) plane wave in homogeneous isotropic medium n Transmission line equation n Equivalent circuit elements National Taiwan University

Equivalent Circuit (2/3) 8 National Taiwan University

Equivalent Circuit (3/3) n 9 DPS-DPS WG n DPS-DNG WG National Taiwan University

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

Slab Waveguide (2/3) n 11 DPS slab n DNG slab National Taiwan University

Slab Waveguide (3/3) n 12 Antidirectional coupler National Taiwan University

Sub-λ Core-Shell Systems (1/6) n Cross section of spherical structure ε 2 , μ 2 ε 1 , μ 1 a ε 0 , μ 0 n 13 Resonant Condition National Taiwan University

Sub-λ Core-Shell Systems (2/6) n Regions satisfy resonant condition n At least one layer with SNG/DNG materials ε 2 , μ 2 ε 1 , μ 1 a ε 0 , μ 0 14 National Taiwan University

Sub-λ Core-Shell Systems (3/6) n Scattering coefficient vs. a 1/a ε 2 , μ 2 ε 1 , μ 1 a ε 0 , μ 0 ε 1 = -3ε 0, ε 2 = 10ε 0 μ 1 = μ 2 = μ 0 15 National Taiwan University

Sub-λ Core-Shell Systems (4/6) n Scattering coefficient vs. a 1/a ε 2 , μ 2 ε 1 , μ 1 a ε 0 , μ 0 a 1 = 0. 01λ 0 ε 1 = 10ε 0, ε 2 = ± 1. 2ε 0 μ 1 = μ 2 = μ 0 16 National Taiwan University

Sub-λ Core-Shell Systems (5/6) n “Transparent” condition ε 2 , μ 2 PEC a a 1 = λ 0/5, a = 1. 087 a 1 ε 2 = 0. 1ε 0 μ 2 = μ 0 ε 0 , μ 0 17 National Taiwan University

Sub-λ Core-Shell Systems (6/6) n Without cover ε 2 , μ 2 PEC 18 ε 0 , μ 0 a a 1 n With cover a 1 = λ 0/5, a = 1. 087 a 1 ε 2 = 0. 1ε 0 μ 2 = μ 0 National Taiwan University

National Taiwan University Thanks for your attention. 19