Phononics / Leonard Dobrzynski, El Houssaine El Boudouti, Abdellatif Akjouj, Yan Pennec, Housni Al-Wahsh, Gaëtan Lévêque, Bahram Djafari-Rouhani
- Interface transmission tutorial book series
- 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 theSupported 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
- 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 corresponding modern matrix formulation. A detailed description of the mathematical languages that enables readers to find the composite system linear transmission properties is provided in the appendix. The physical model is described with exacting detail, and the bibliography is built to cite-in chronological order-all the scientists that have contributed over many years. Each volume is written with the aim of providing an up-to-date and concise summary of the present knowledge of interface transmission science, thus fostering the exchange of ideas among scientists interested in different aspects of interface transmission. The book serves as an introduction to advanced graduate students, researchers, and scientists with little study on the subject, and is also useful to help keep specialists informed on general progress in the field.
- 9780128099315 (electronic bk.)
0128099313 (electronic bk.)
- Bibliography Note:
- Includes bibliographical references and index.
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