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Fourier transform spectroscopy has evolved over several decades into an analytic spectroscopic method with applications throughout the physical, chemical, and biological sciences. As the instruments have become automated and computerized the user has been able to focus on the experiment and not on the operation of the instrument. However, in many applications where source conditions are not ideal or the desired signal is weak, the success of an experiment can depend critically on an understanding of the instrument and the data-processing algorithms that extract the spectrum from the interferogram. Fourier Transform Spectrometry provides the essential background in Fourier analysis, systematically develops the fundamental concepts governing the design and operation of Fourier transform spectrometers, and illustrates each concept pictorially. The methods of transforming the interferogram and phase correcting the resulting spectrum are presented, and are focused on understanding the capabilities and limitations of the algorithms. Techniques of computerized spectrum analysis are discussed with the intention of allowing individual spectroscopists to understand the numerical processing algorithms without becoming computer programmers. Methods for determining the accuracy of numerical algorithms are discussed and compared pictorially and quantitatively. Algorithms for line finding, fitting spectra to voigt profiles, filtering, Fourier transforming, and spectrum synthesis form a basis of spectrum analysis tools from which complex signal-processing procedures can be constructed.
This book should be of immediate use to those who use Fourier transform spectrometers in their research or are considering their use, especially in astronomy, atmospheric physics and chemistry, and high-resolution laboratory spectroscopy. We give the mathematical and physical background for understanding the operation of an ideal interferometer, illustrate these ideas with examples of interferograms that are obtained with ideal and nonideal interferometers, and show how the maximum amount of information can be extracted from the interferograms. Next, we show how practical considerations of sampling and noise affect the spectrum.
This book evolved out of 20 years of conversations about the methods and practice of Fourier transform spectroscopy. Brault is the author of several papers incorporated into this text, as well as author of a seminal set of lecture notes on the subject. He is the prime mover in establishing the Fourier transform spectrometer (FTS) as the instrument of choice for high-resolution atomic and molecular spectroscopy. The content of this book is taken mainly from his work in optics and instrumentation over a period of many years.
Introduction
Why Choose a Fourier Transform Spectrometer?
Theory ortbe Ideal Instrument
Fourier Analysis
Nonideal (Real-World) Interferograms
Working with Digital Spectra and Fourier Transforms
Phase Corrections and Their Significance
Effects or Noise in Its Various Forms
Line Positions, Line Profiles, and Fitting
Processing of Spectral data
Discussions, Interventions, Digressions, and Obscurations
Chapter-by-Chapter Bibliography
Chronological Bibliography
Applications Bibliography
Author Bibliography