Издательство InTech, 2012, -538 pp.This book provides a broad treatment of the principles and theory of Fourier Transform Infrared Spectroscopy (FTIR) as it is used in the physical, chemical, mathematical, biological sciences, as well as in medicine and technology. It is written at a scientific- technical level, with mathematics used to augment, rather than replace, clear verbal descriptions of the phenomena. The book is intended to allow the reader to understand FTIR at a fundamental and scientific level, and to see illustrations of the applications of FTIR in different area. Emphasis is on the study of new Fourier transform methods and different strategies using the Fourier transform, but the book also includes the main principles of FTIR spectrophotometer, i.e. Michelson’s interferometer, and the principles of FTIR imaging and localized spectroscopy.
In this volume of the book we have described the main principles of Fourier transform and IR spectrophotometer, i.e. Michelson’s interferometer. The interferogram have been defined and the main formulae that lead to Fourier transform calculation of the measured spectrum from the interferogram have been described. The questions of frequency modulation, apodization and phase correction have been addressed based on those formulae. The principal differences between the Fourier and dispersive spectrophotometers and the real effects of the multiplexing advantage have been discussed next. Naturally, some of the aspects have disadvantages which are discussed here as well. We have also touched on some theorems and their consequences in the Fourier transform spectrophotometer. These aspects have been considered mainly from the viewpoint of photocurrent spectroscopy of non-crystalline semiconductors. Many other general aspects are covered by other chapters in the second volume of the book.Theoretical Description of the Fourier Transform of the Absolute Amplitude Spectra and Its Applications.
Gaussian and Fourier Transform (GFT) Method and Screened Hartree-Fock Exchange Potential for First-principles Band Structure Calculations.
Low Complexity Fourier Transforms using Multiple Square Waves.
Orbital Stability of Periodic Traveling Wave Solutions.
Approach to Fundamental Properties of the Henstock-Fourier Transform.
Three Dimensional Reconstruction Strategies Using a Profilometrical Approach based on Fourier Transform.
Quadratic Discrete Fourier Transform and Mutually Unbiased Bases.
Orthogonal Discrete Fourier and Cosine Matrices for Signal Processing.
Optimized FFT Algorithm and its Application to Fast GPS Signal Acquisition.
Homogenization of Nonlocal Electrostatic Problems by Means of the Two-Scale Fourier Transform.
Time-resolved Fourier Transform Infrared Emission Spectroscopy: Application to Pulsed Discharges and Laser Ablation.
Weighting Iterative Fourier Transform Algorithm for Kinoform Implemented with Liquid-Crystal SLM.
Two-Dimensional Quaternionic Windowed Fourier Transform.
High Frame Rate Ultrasonic Imaging through Fourier Transform using an Arbitrary Known Transmission Field.
High-Accuracy and High-Security Individual Authentication by the Fingerprint Template Generated Using the Fractional Fourier Transform.
Fourier Transform Mass Spectrometry for the Molecular Level Characterization of Natural Organic Matter: Instrument Capabilities, Applications, and Limitations.
Enhanced Fourier Transforms for X-Ray Scattering Applications.
Fourier Transform on Group-Like Structures and Applications.
Reduced Logic and Low-Power FFT Architectures for Embedded Systems.
The Effect of Local Field Dispersion on the Spectral Characteristics of Nanosized Particles and their Composites.
Fourier Transform Based Hyperspectral Imaging.
Application of Fast Fourier Transform for Accuracy Evaluation of Thermal-Hydraulic Code Calculations.
