Phononics / Leonard Dobrzynski, El Houssaine El Boudouti, Abdellatif Akjouj, Yan Pennec, Housni Al-Wahsh, Gaëtan Lévêque, Bahram Djafari-Rouhani.
Phononics: Interface Transmission Tutorial Book Series provides an investigation of modern systems that includes a discrete matrix description. Classical continuous systems relying on the use of differential equations are recalled, showing that they generally have a specific limit on their correspon...
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Full Text (via ScienceDirect) |
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| Main Authors: | , , , , , , |
| Format: | eBook |
| Language: | English |
| Published: |
Amsterdam :
Elsevier,
[2018]
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| Series: | Interface transmission tutorial book series.
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| Subjects: |
Table of Contents:
- Front Cover; Phononics: Interface Transmission Tutorial Book Series; Copyright; Contents; Contributors; Preface; Acknowledgments; Chapter 1: Interface Response Theory; 1 Introduction; 2 Composite Matrix Structure; 3 Discrete Systems; 3.1 Infinite Matrix Inverse; 3.2 System Matrix Inverse; 3.2.1 Another Useful General Relation for the Interface Elements of the Green's Function; 3.3 System Eigenvalues; 3.4 Response to an Action; 3.5 Discrete System Eigenvectors; 3.5.1 Finite system; 3.5.2 Infinite System; 3.6 Total Density of States; 3.7 Local Density of States.
- 3.8 Variation of the Total Density of States3.9 Conservation of the Number of States; 3.10 Variations of Additive Functions; 4 Continuous Systems; 4.1 Composite System Diffusion Matrix; 4.2 Continuous System Eigenvalues; 4.3 Response to an Action; 4.4 Continuous System Eigenvectors; 4.4.1 Finite System; 4.4.2 Infinite System; 4.5 Densities of States; 5 Discrete and Continuous Systems; References; Chapter 2: Phonon Monomode Circuits; 1 Introduction; 2 Diatomic Chain; 3 Triatomic Chain; 4 A Simple Atomic Multiplexer; 5 Classical Analog of Fano and EIT Resonances in a Phononic Waveguide.
- 5.1 IRT of Acoustic Waves in Tubes5.2 Inverse Surface Green's Functions of the Elementary Constituents; 5.3 Transmission Coefficient; 5.4 Illustrative Examples; 6 Resonant Tunneling of Acoustic Waves Between Two Slender Tubes; 7 Phononic Spectral Gaps in Serial Stub Tubes; 8 Stopping and Filtering Phonons in Serial Loop Tubes; 9 Quasiperiodic Phononic Circuits; 9.1 Inverse Surface Green's Functions of the Elementary Constituents; 9.2 Transmission Coefficient; 9.3 Illustrative Examples; 9.3.1 Case of Symmetric FSLS; 9.3.2 Case of Asymmetric FSLS; 10 Summary and Conclusion; References.
- Chapter 3: Phonons in Supported Layers1 Introduction; 2 General Equations for a Phononic Material; 2.1 Bulk Green's Functionof a Solid Material; 2.2 Surface Green's Function of a Semiinfinite Solid; 2.2.1 Surface Green's Function of a Solid Slab; 3 The Case of Fluids; 4 Resonant Guided Phononsin Supported Slab; 4.1 Supported Slab DOS; 4.2 An Elastic Model of the Supported Slab; 4.2.1 The Transverse Components of the Surface Green's Function Elements; 4.2.2 The Sagittal Components of the Surface Green's Function Elements; 4.3 Applications and Discussion of the Results.
- 5 Resonant Guided Phononsin Supported Bilayer5.1 Model; 5.2 Numerical Results and Discussion; 5.2.1 Dispersion Curves and Densities of States; 5.2.2 Reflection Coefficients; 6 Localized and Resonant Guided Phonons in an Adsorbed Layer on a 1D Phononic Crystal; 6.1 Method of Calculation; 6.2 Numerical Results and Discussion; 7 Relation to Experiments; 8 Summary and Conclusions; References; Chapter 4: One-Dimensional Phononic Crystals; 1 Introduction; 2 Shear-Horizontal Acoustic Waves in Semiinfinite PnCs; 2.1 Transverse Elastic Waves in 1D Phononic Material; 2.1.1 Model.