Introduction To Modern Planar Transmission Lines. Anand K. Verma

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18.24 Some microstrip patch resonators. Thickness h of the substrate ...Figure 18.25 Ez‐field distribution of a few TMmn‐modes. (M: Magnetic current...Figure 18.26 Shielded multilayer microstrip rectangular patch resonator.Figure 18.27 Field and current patterns of a few TMmn modes of microstrip ci...Figure 18.28 Field and current patterns of a few TMnm‐modes of microstrip ri...Figure 18.29 Field patterns of two TMnml‐modes of microstrip equilateral tri...Figure 18.30 Resonance frequency of the equilateral triangular patch.Figure 18.31 Creation of scaled copies of objects in Euclidean space.Figure 18.32 Creation of a Koch curve from a line segment.Figure 18.33 Creation of Koch island or Koch Snowflake from an equilateral t...Figure 18.34 Creation of square Koch island or square Koch Snowflake from a ...Figure 18.35 Generation of Minkowski curve from the 8‐sided pulse generator....Figure 18.36 Generation of Minkowski island from the 5‐sided square/rectangu...Figure 18.37 Generation of Hilbert curves using U shape generator.Figure 18.38 Generation of Sierpinski triangles.Figure 18.39 Generation of Sierpinski carpet.Figure 18.40 Resonance frequency behavior of Koch and other folded monopoles...Figure 18.41 Behavior of microstrip Minkowski fractal patch resonator.Figure 18.42 Behavior of microstrip Hilbert fractal line resonators – simple...Figure 18.43 Excitation of orthogonal dual unperturbed and perturbed modes i...Figure 18.44 Impedance locus of corner‐fed deformed square patch and frequen...Figure 18.45 Dual‐mode circular resonators.Figure 18.46 Dual‐mode equilateral triangular resonator.Figure 18.47 Dual‐mode square ring resonators.Figure 18.48 Dual‐mode ring resonators.

      18 Chapter 19Figure 19.1 Wave propagation in the 1D periodic medium.Figure 19.2 The lattice structures in real and reciprocal space.Figure 19.3 Some 2D direct and reciprocal lattices in the k‐space.Figure 19.4 Formation of 1D first BZ.Figure 19.5 Formation of the BZ and IBZ for a rectangular unit cell.Figure 19.6 Formation of BZ and IBZ for a hexagonal unit cell.Figure 19.7 Cascaded unit cells of infinitely long 1D periodic line.Figure 19.8 Susceptance/reactance loaded infinite periodic lines, showing th...Figure 19.9 Dispersion diagram of the fundamental wave of the periodic media...Figure 19.10 Dispersion diagram of the 1D periodic structure.Figure 19.11 Conditions for the existence of four kinds of waves on a period...Figure 19.12 Slow‐wave/fast‐wave supporting periodic TEM‐type/waveguide stru...Figure 19.13 Computation of dispersion and attenuation of shunt capacitors/s...Figure 19.14 Dispersion and attenuation diagrams of the periodic line with s...Figure 19.15 Nature of dispersion in the series‐connected short‐circuited st...Figure 19.16 Dispersion diagram and Bloch impedance of shunt capacitance‐loa...Figure 19.17 Unit cells of some loading elements (inclusions).Figure 19.18 Some capacitors in microstrip.Figure 19.19 Some inductors in microstrip.Figure 19.20 Some resonant type loading elements.Figure 19.21 The periodic loading of the substrate of a microstrip.Figure 19.22 Response of microstrip on a periodic substrate (artificial subs...Figure 19.23 The holes/apertures in the ground plane of the microstrip.Figure 19.24 Response of the ground plane holes/apertures in the microstrip....Figure 19.25 DGS loaded meandered microstrip periodic line.Figure 19.26 Some series inductor loaded microstrip periodic line.Figure 19.27 Propagation characteristics of three periodic lines shown in Fi...Figure 19.28 Propagation characteristics of the periodic line of Fig. (19.26...Figure 19.29 Some shunt capacitor‐loaded microstrip periodic line.Figure 19.30 Propagation characteristics of the periodic line of Fig. (19.29...Figure 19.31 Periodic microstrip of modulated strip conductor.Figure 19.32 Periodic loading of the central strip of the CPW.Figure 19.33 Patterned ground planes and CPW stubs to form the unit cells.Figure 19.34 Series/shunt‐loaded periodic CPW.Figure 19.35 Characteristics of series inductor‐loaded periodic CPW of Fig. ...Figure 19.36 Characteristics of series capacitor‐loaded periodic CPW shown i...Figure 19.37 Characteristics of seven‐cell shunt capacitor‐loaded periodic C...

      19 Chapter 20Figure 20.1 Some 2D‐planar EBG surfaces.Figure 20.2 EBG surface setup for EM‐simulation.Figure 20.3 Dispersion and reflection phase diagram of the EBG surface.Figure 20.4 Comparison of surface wave bandgap and reflection bandwidth of t...Figure 20.5 Reflection phase of the EBG surface.Figure 20.6 Reflection phase of the anisotropic mushroom EBG surface.Figure 20.7 EBG reflection surface and ground plane for polarization control...Figure 20.8 Circuit model of the radiating antenna located over the EBG surf...Figure 20.9 Polar reflection diagram of EBG surface showing the nature of th...Figure 20.10 Schemes to increase C and L of a mushroom EBG surface.Figure 20.11 Reflection and dispersion diagrams of mushroom EBG for C = 0.05...Figure 20.12 Oblique incidence of plane waves on mushroom EBG.Figure 20.13 Polarization‐dependent reflection coefficient and dispersion of...Figure 20.14 Some UC‐EBG structures.Figure 20.15 4‐Port network of 2D‐circuit model of mushroom‐type EBG surface...Figure 20.16 Dispersion diagram of the 2D EBG surface. The gray strips show ...Figure 20.17 The dispersion and attenuation diagrams of the mushroom‐type EB...Figure 20.18 Series‐connected 2D uniplanar EBG.

      20 Chapter 21Figure 21.1 Geometry of the wire‐medium.Figure 21.2 Circuit model of wire‐medium.Figure 21.3 Experimental response of wire‐medium.Figure 21.4 Impedance loaded wire medium.Figure 21.5 Response of inductor and capacitor loaded wire‐medium.Figure 21.6 Artificial magnetic molecules or elements excited by external ax...Figure 21.7 The split rings resonator (SRR).Figure 21.8 The SRR lattice and permeability response.Figure 21.9 The permeability response of the cubic lattice of the SRR based ...Figure 21.10 The permeability response of the SRR of four orientations.Figure 21.11 Some more magnetic particles.Figure 21.12 The orientation and responses of paired ring resonators (PRR)....Figure 21.13 Material and transmission responses of strip wire (SW) and SRR ...Figure 21.14 Transmission and dispersion responses of strip wire and SRR met...Figure 21.15 CLS–SRR and CLS–CLL metamaterials responses of the material par...Figure 21.16 Broadside coupled Ω‐particles‐based metamaterial.Figure 21.17 Responses of broadside coupled Ω‐particles‐based metamaterial....Figure 21.18 Performance of the broadside coupled S‐ring‐based metamaterials...Figure 21.19 Performance of the broadside coupled S‐ring particle‐based meta...Figure 21.20 Homogenization and extraction process of material parameters.Figure 21.21 S‐parameters descriptions of a unit cell of a slab.Figure 21.22 The electric field lines of the first two normal modes of Mie r...Figure 21.23 Effective medium parameters using the dynamic MG models.Figure 21.24 Computation magnetic response by three methods.

      21 Chapter 22Figure 22.1 Circuit equivalence of a material medium.Figure 22.2 Single‐arm reactive loading of the host LC‐line. Loading compone...Figure 22.3 The permeability and permittivity response of the effective medi...Figure 22.4 Coupling between host line and reactive loadings. Loading is sho...Figure 22.5 Complete Lorentz type response and bandpass response of the effe...Figure 22.6 Double arms reactive inclusion loading of the host LC‐line formi...Figure 22.7 The (ω − β) dispersion diagrams of the metalines.Figure 22.8 Series capacitance and shunt inductance loaded microstrip metali...Figure 22.9 Magnitude and phase response of microstrip metalines.Figure 22.10 (MNG–ENG) Cascaded metalines and tunneling response.Figure 22.11 Microstrip implementation of the D‐CRLH metalines.Figure 22.12 S‐parameters and phase response of the D‐CRLH metalines.Figure 22.13 Four‐kinds of resonating inclusions and their equivalent circui...Figure 22.14 CSRR and gap capacitor loaded CRLH‐metaline.Figure 22.15 Response of CSRR and gap capacitor loaded CRLH‐metaline.Figure 22.16 Topology of SRR loaded microstrip and SRR‐via inductor loaded C...Figure 22.17 Topology of SRR loaded CPW, SRR‐strip inductor loaded CPW‐metal...Figure 22.18 The |S21| response of SRR‐strip loaded CPW.Figure 22.19 Topology of CSRR and CSSR‐SRR loaded CPW and S21 response.Figure 22.20 24 unit cells CRLH based leaky‐wave antenna scanning upper half...Figure 22.21 Configurations of metalines directional couplers.Figure 22.22 Frequency response of metalines based directional couplers of F...Figure 22.23 Metaline for the dual‐band components.Figure 22.24 Quad‐band metaline.Figure 22.25 Metasurface supporting time‐harmonic electric and magnetic dipo...Figure 22.26 Stages of metasurface characterization.Figure 22.27 Reflection and transmission at the interface of the metasurface...Figure 22.28 An inclusion scattering the incident waves.Figure 22.29 Out‐of‐plane anomalous reflection and refraction at the phase‐g...Figure 22.30 Anomalous reflection of the 1D gradient metasurface.Figure 22.31 Anomalous refraction (transmission) of the 1D multilayer gradie...Figure 22.32 Anomalous refraction of Huygens' gradients metasurface.Figure 22.33 Transmission of normally incident RHCP waves on the multilayere...Figure 22.34 Experimental refracted

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