Periodic Materials and Interference Lithography for Photonics, Phononics and Mechanics by Martin Maldovan - Edwin L. Thomas

Presents theoretical scheme for the design of desirable periodic structures. This title also presents the experimental techniques that allow for fabrication of the periodic structure and experimental data. It uses theory and numerical data to show how these periodic structures control the photonic, acoustic, and mechanical properties of materials. Top page

Complete description

Written by the department head of materials science and engineering at MIT, this concise and stringent introduction takes readers from the fundamental theory to in-depth knowledge. It sets out with a theoretical scheme for the design of desirable periodic structures, then presents the experimental techniques that allow for fabrication of the periodic structure and exemplary experimental data. Subsequently, theory and numerical data are used to demonstrate how these periodic structures control the photonic, acoustic, and mechanical properties of materials, concluding with examples from these three important fields of applications. The result is must-have knowledge for both beginners and veterans in the field. Top page

General info

Publisher & Imprint: Wiley-VCH Verlag GmbH

City: Weinheim

Pages: 331

More info: height 251 mm width 181 mm weight 766 gr thickness 23 mm

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Age recommended: Professional and scholarly

Subject Indexing & Classification Dewey: 620.11

Summary Periodic Materials and Interference Lithography for Photonics, Phononics and Mechanics Preface. Introduction. THEORY. 1. Structural Periodicity. 1.1 Nonperiodic versus Periodic Structures. 1.2 Two-dimensional Point Lattices. 1.3 Three-dimensional Point Lattices. 1.4 Mathematical Description of Periodic Structures. 1.5 Fourier Series. Further Reading. Problems. 2. Periodic Functions and Structures. 2.1 Introduction. 2.2 Creating Simple Periodic Functions in Two Dimensions. 2.3 Creating Simple Periodic Functions in Three Dimensions. 2.4 Combination of Simple Periodic Functions. Problems. 3. Interference of Waves and interference Lithography. 3.1 Electromagnetic Waves. 3.2 The Wave Equation. 3.3 Electromagnetic Plane Waves. 3.4 The Transverse Character of Electromagnetic Plane Waves. 3.5 Polarization. 3.6 Electromagnetic Energy. 3.7 Interference of Electromagnetic Plane Waves. 3.8 Interference Lithography. Further Reading. Problems. 4. Periodic Structures and Interference Lithography. 4.1 The Connection between the Interference of Plane Waves and Fourier Series. 4.2 Simple Periodic Structures in Two Dimensions Via Interference Lithography. 4.3 Simple Periodic Structures in Three Dimensions Via Interference Lithography. Further Reading. Problems. EXPERIMENTAL. 5. Fabrication of Periodic Structures. 5.1 Introduction. 5.2 Light Beams. 5.3 Multiple Gratings and the Registration Challenge. 5.4 Beam Configuration. 5.5 Pattern Transfer: Material Platforms and Photoresists. 5.6 Practical Considerations for Interference Lithography. 5.7 Closing Remarks. Further Reading. APPLICATIONS. 6. Photonic Crystals. 6.1 Introduction. 6.2 One-dimensional Photonic Crystals. 6.3 Two-dimensional Photonic Crystals. 6.4 Three-dimensional Photonic Crystals. Further Reading. Problems. 7. Phononic Crystals. 7.1 Introduction. 7.2 Phononic Crystals. 7.3 One-dimensional Phononic Crystals. 7.4 Two-dimensional Phononic Crystals. 7.5 Three-dimensional Phononic Crystals. Further Reading. Problems. 8. Periodic Cellular Solids. 8.1 Introduction. 8.2 One-dimensional Hooke's Law. 8.3 The Stress Tensor. 8.4 The Strain Tensor. 8.5 Stress-Strain Relationship: The Generalized Hooke's Law. 8.6 The Generalized Hooke's Law in Matrix Notation. 8.7 The Elastic Constants of Cubic Crystals. 8.8 Topological Design of Periodic Cellular Solids. 8.9 Finite Element Program to Calculate Linear Elastic Mechanical Properties. 8.10 Linear Elastic Mechanical Properties of Periodic Cellular Solids. 8.11 Twelve-connected Stretch-dominated Periodic Cellular Solids via Interference Lithography. 8.12 Fabrication of a Simple Cubic Cellular Solid via Interference Lithography. 8.13 Plastic Deformation of Microframes. Further Reading. 9. Further Applications. 9.1 Controlling the Spontaneous Emission of Light. 9.2 Localization of Light: Microcavities and Waveguides. 9.3 Simultaneous Localization of Light and Sound in Photonic-Phononic Crystals: Novel Acoustic-Optical Devices. 9.4 Negative Refraction and Superlenses. 9.5 Multifunctional Periodic Structures: Maximum Transport of Heat and Electricity. 9.6 Microfluidics. 9.7 Thermoelectric Energy. Further Reading. Appendix A. MATLAB Program to Calculate the Optimal Electric Field Amplitude Vectors for the Interfering Light Beams. Appendix B. MATLAB Program to Calculate Reflectance versus Frequency for One-dimensional Photonic Crystals. Appendix C. MATLAB Program to Calculate Reflective versus Frequency for One-dimensional Phononic Crystals. Index. Top page

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