Second Order Non-linear Optics of Silicon and Silicon Nanostructures

The theory and practice of the non-linear optics of silicon are inextricably linked with a variety of areas of solid state physics, particularly semiconductor physics. However, the current literature linking these fields is scattered across various sources and is lacking in depth. Second Order Non-linear Optics of Silicon and Silicon Nanostructures describes the physical properties of silicon as they apply to non-linear optics while also covering details of the physics of semiconductors. The book contains six chapters that focus on: The physical properties and linear optics of silicon Basic theoretical concepts of reflected second harmonics (RSH) The authors’ theory of the generation of RSH at the non-linear medium–linear medium interface An analytical review of work on the non-linear optics of silicon The results of non-linear optical studies of silicon nanostructures A theory of photoinduced electronic processes in semiconductors and their influence on RSH generation The book also includes methodological problems and a significant amount of reference data. It not only reflects the current state of research but also provides a single, thorough source of introductory information for those who are becoming familiar with non-linear optics. Second Order Non-linear Optics of Silicon and Silicon Nanostructures is a valuable contribution to the fields of non-linear optics, semiconductor physics, and microelectronics, as well as a useful resource for a wide range of readers, from undergraduates to researchers.

Table of Contents:
Introduction Some Physical Properties of Silicon Crystal Structure: Volume and Surface The Band Structure of Silicon Linear Optics of Silicon Effect of Mechanical Stresses on the Band Structure and the Optical Spectrum of the Silicon Generation of Reflected Second Harmonic: Basic Theoretical Concepts NP: A Phenomenological Approach Non-Linear Polarization: A Microscopic Approach Methods for Calculating the Reflected Second Harmonic Field. Formalism of Green’s Functions Method of Non-Linear Electroreflection Phenomenological Theory of Generation of Second Harmonic Reflected from Silicon Surface The Amplitude of RSH on the Surface of Centrosymmetric Semiconductors Calculation of NP in Crystals Application of the Theory of Reflected Second Harmonic Generation in Studies of Non-Linear Electroreflectance and Anisotropic Reflected Second Harmonic on the Silicon Surface Experimental Results of Study of Reflected Harmonic in Silicon Generation of Anisotropic RSH RSH Spectroscopy Electro-Induced Second Harmonic and the NER Generation of Current-Induced Reflected Second Harmonic Reflected Second Harmonic Generation Induced by Mechanical Stresses Higher Harmonics Generation and Optical Rectification in Silicon Second Harmonic Generation in Silicon Nanostructures Femtosecond Spectroscopy of SH and Dimensional Effects in Silicon Quantum Dots Second Harmonic Spectroscopy of Amorphous Periodic Si–SiO2 Quantum Wells Photoinduced Electronic Processes in Silicon and Their Impact on Reflected Second Harmonic Generation Qualitative Analysis and Physico–Mathematical Model of Photoinduced Electronic Processes Unsteady Transverse Dember Effect Stationary Two-Dimensional Dember Effect Appendix 1: Parameters of Laser Pumping Sources Appendix 2: Properties of Silicon Appendix 3: Fundamentals of Group Theory Appendix 4: Propagation of Light in Absorbing Medium—Semiconductor Appendix 5: Linear Optical Parameters of Silicon and Parameters of the Rate of Carriers Photogeneration in Silicon Appendix 6: Units of Measurement of Non-Linear Optical Susceptibilities and Their Conversion from CGS to SI System Appendix 7: The Proof of Equation (2.26) Appendix 8: Determination of the Electric–Magnetic Contribution to Quadratic Non-Linear Polarization Appendix 9: Bra- and Ket-Vectors Appendix 10: Justification of the Exponential Model of Spatial Distribution of Electrically Induced Non-Linear Polarization Appendix 11: Influence of Surface Non-Linear Polarization on p-Polarized RSH Wave Appendix 12: Non-Linear Polarization Appendix 13: Casimir Effect Appendix 14: Model of Bulk Recombination in Silicon Appendix 15: Concentration Dependences of Mobility and Diffusion Coefficients of Current Carriers in Silicon

About the Author :
O. A. Aktsipetrov, Moscow State University, Russia (deceased) I. M. Baranova, Bryansk State Academy of Engineering and Technology, Russia K. N. Evtyukhov, Bryansk State Academy of Engineering and Technology, Russia