Doubly negative property in an asymmetric double-sided pillared metamaterial

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Table of contents

1 Doubly negative property in double-sided pillared metamaterials 
1.1 Introduction
1.2 Single negative property in single-sided pillared metamaterials
1.2.1 Lamb waves in a periodic structure
1.2.2 Negative effective mass density
1.2.3 Negative effective shear modulus
1.3 Doubly negative property in an asymmetric double-sided pillared metamaterial
1.3.1 Doubly negative property in merged structure
1.3.2 Enlargement of the double-negative branch
1.3.3 Polarization-filter behavior
1.3.4 Mode conversion phenomenon
1.3.5 Pillared metamaterial with chirality
1.4 Doubly negative property in a symmetric double-sided pillared metamaterial
1.4.1 Occurrence of isolated negative-slope branch
1.4.2 Formation of the double-negative branch
1.4.3 Evolution of the double-negative branch against the geometric parameters
1.5 Applications of doubly negative property
1.5.1 Refraction at the outlet of a prism-shaped supercell
1.5.1.1 Asymmetric single-sided pillared metamaterial supercell
1.5.1.2 Symmetric double-sided pillared metamaterial supercell
1.5.2 Cloaking effect in a rectangular supercell with void
1.5.2.1 Chiral asymmetric double-sided pillared metamaterial supercell
1.5.2.2 Symmetric double-sided pillared metamaterial supercell
1.6 Conclusion
2 Topological transport of Lamb waves in pillared phononic crystals 
2.1 Introduction
2.2 Constructing a single Dirac cone and a double Dirac cone
2.3 Topological transport in an asymmetric double-sided PPnC
2.3.1 Artificially folding and polarization-dependent propagation
2.3.2 Emulating QVHE
2.3.2.1 Topological phase transition
2.3.2.2 Valley-protected edge states
2.4 Topological transport in a symmetric double-sided PPnC
2.4.1 Occurrence of the Dirac cones and its evolution against the height of the pillars
2.4.2 Emulating QVHE
2.4.2.1 Topological phase transition
2.4.2.2 Valley-protected edge states of the antisymmetric dispersion curves
2.4.2.3 Valley-protected edge states of the symmetric dispersion curves
2.4.3 Emulating QSHE
2.4.3.1 Topological phase transition
2.4.3.2 Pseudospin-protected edge states
2.4.4 Pseudospin-valley combined edge states
2.5 Conclusion
3 Active control of transmission through a line of pillars 
3.1 Introduction
3.2 Eigenmodes of a line of pillars
3.3 Lamb waves reemitted by a line of pillars
3.4 Control of the transmission through a line of pillars by introducing external sources
3.4.1 Line of pillars with separated modes
3.4.2 Line of pillars with superimposed modes
3.5 Conclusion
General conclusion and perspectives 
Bibliography