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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.