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.
1. 1 Introduction - p. 19 2. 2 Diatomic Chain - p. 22 3. 3 Triatomic Chain - p. 26 4. 4 A Simple Atomic Multiplexer - p. 29 5. 5 Classical Analog of Fano and EIT Resonances in a Phononic Waveguide - p. 33 6. 6 Resonant Tunneling of Acoustic Waves Between Two Slender Tubes - p. 45 7. 7 Phononic Spectral Gaps in Serial Stub Tubes - p. 50 8. 8 Stopping and Filtering Phonons in Serial Loop Tubes - p. 54 9. 9 Quasiperiodic Phononic Circuits - p. 59 10. 10 Summary and Conclusion - p. 73 11. Chapter 3: Phonons in Supported Layers - p. 78 12. Abstract - p. 79 13. 1 Introduction - p. 79 14. 2 General Equations for a Phononic Material - p. 81 15. 3 The Case of Fluids - p. 87 16. 4 Resonant Guided Phonons in Supported Slab - p. 88 17. 5 Resonant Guided Phonons in Supported Bilayer - p. 98 18. 6 Localized and Resonant Guided Phonons in an Adsorbed Layer on a 1D Phononic Crystal - p. 115 19. 7 Relation to Experiments - p. 124 20. 8 Summary and Conclusions - p. 133 21. Chapter 4: One-Dimensional Phononic Crystals - p. 137 22. Abstract - p. 139 23. 1 Introduction - p. 139 24. 2 Shear-Horizontal Acoustic Waves in Semiinfinite PnCs - p. 142 25. 3 Shear-Horizontal Acoustic Waves in Finite PnCs - p. 173 26. 4 Sagittal Acoustic Waves in Finite Solid-Fluid PnCs - p. 209 27. 5 Omnidirectional Reflection and Selective Transmission in Layered Media - p. 230 28. 6 Conclusions - p. 262 29. Chapter 5: Transmission in 2D Phononic Crystals and Acoustic Metamaterials - p. 270 30. Abstract - p. 271 31. 1 General Introduction - p. 271 32. 2 Methods of Calculations - p. 273 33. 3 2D Bulk Phononic Crystal - p. 299 34. 4 2D AMMs - p. 316 35. 5 2D Phononic Crystal Plate - p. 335 36. 6 AMMs Interface - p. 355 37. Index - p. 375
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.
1. 1 Introduction - p. 19 2. 2 Diatomic Chain - p. 22 3. 3 Triatomic Chain - p. 26 4. 4 A Simple Atomic Multiplexer - p. 29 5. 5 Classical Analog of Fano and EIT Resonances in a Phononic Waveguide - p. 33 6. 6 Resonant Tunneling of Acoustic Waves Between Two Slender Tubes - p. 45 7. 7 Phononic Spectral Gaps in Serial Stub Tubes - p. 50 8. 8 Stopping and Filtering Phonons in Serial Loop Tubes - p. 54 9. 9 Quasiperiodic Phononic Circuits - p. 59 10. 10 Summary and Conclusion - p. 73 11. Chapter 3: Phonons in Supported Layers - p. 78 12. Abstract - p. 79 13. 1 Introduction - p. 79 14. 2 General Equations for a Phononic Material - p. 81 15. 3 The Case of Fluids - p. 87 16. 4 Resonant Guided Phonons in Supported Slab - p. 88 17. 5 Resonant Guided Phonons in Supported Bilayer - p. 98 18. 6 Localized and Resonant Guided Phonons in an Adsorbed Layer on a 1D Phononic Crystal - p. 115 19. 7 Relation to Experiments - p. 124 20. 8 Summary and Conclusions - p. 133 21. Chapter 4: One-Dimensional Phononic Crystals - p. 137 22. Abstract - p. 139 23. 1 Introduction - p. 139 24. 2 Shear-Horizontal Acoustic Waves in Semiinfinite PnCs - p. 142 25. 3 Shear-Horizontal Acoustic Waves in Finite PnCs - p. 173 26. 4 Sagittal Acoustic Waves in Finite Solid-Fluid PnCs - p. 209 27. 5 Omnidirectional Reflection and Selective Transmission in Layered Media - p. 230 28. 6 Conclusions - p. 262 29. Chapter 5: Transmission in 2D Phononic Crystals and Acoustic Metamaterials - p. 270 30. Abstract - p. 271 31. 1 General Introduction - p. 271 32. 2 Methods of Calculations - p. 273 33. 3 2D Bulk Phononic Crystal - p. 299 34. 4 2D AMMs - p. 316 35. 5 2D Phononic Crystal Plate - p. 335 36. 6 AMMs Interface - p. 355 37. Index - p. 375
