Periodic materials and interference lithography for photonics, phononics and mechanics
[Book]
Martin Maldovan and Edwin L. Thomas.
Weinheim
Wiley-VCH, Ü
2009
(xviii, 313 Seiten) : Illustrationen (some color)
Cover.;Contents.;Preface.;Introduction.;Theory.;1 Structural Periodicity.;Further Reading.;Problems.;2.1 Introduction.;3.5 Polarization.;Experimental.;5.1 Introduction.;Applications.;6 Photonic Crystals.;6.1 Introduction.;7 Phononic Crystals.;7.1 Introduction.;8.1 Introduction.;9 Further Applications.;9.6 Microfluidics.;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 th.
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. 2 Periodic Functions and Structures. 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. 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. 3.6 Electromagnetic Energy. 3.7 Interference of Electromagnetic Plane Waves. 3.8 Interference Lithography. 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. 5 Fabrication of Periodic Structures. 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. 6.2 One-dimensional Photonic Crystals. 6.3 Two-dimensional Photonic Crystals. 6.4 Three-dimensional Photonic Crystals. 7.2 Phononic Crystals. 7.3 One-dimensional Phononic Crystals. 7.4 Two-dimensional Phononic Crystals. 7.5 Three-dimensional Phononic Crystals. 8 Periodic Cellular Solids. 8.2 One-dimensional Hookes Law. 8.3 The Stress Tensor. 8.4 The Strain Tensor. 8.5 StressStrain Relationship: The Generalized Hookes Law. 8.6 The Generalized Hookes 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. 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 PhotonicPhononic Crystals: Novel AcousticOptical Devices. 9.4 Negative Refraction and Superlenses. 9.5 Multifunctional Periodic Structures: Maximum Transport of Heat and Electricity. 9.7 Thermoelectric Energy. Appendix A MATLAB Program.