Elsevier S & T

Fourier Transform Spectrometry

Davis, Sumner P.; Abrams, Mark C.; Brault, James W.

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Table of contents
  • Fourier Transform Spectrometryiii
  • Copyright Pageiv
  • Contentsvii
  • Prefacexiii
  • Chapter 1. Introduction1
  • 1.1 Spectra and Spectroscopic Measurement5
  • 1.2 The Classical Michelson Interferometer10
  • 1.3 Precision, Accuracy, and Dynamic Range12
  • 1.4 Units13
  • 1.5 A Glance Ahead and to the Side15
  • Chapter 2. Why Choose a Fourier Transform Spectrometer?17
  • 2.1 Quantity18
  • 2.2 Quality20
  • 2.3 Cost24
  • 2.4 Summary25
  • Chapter 3. Theory of the Ideal Instrument29
  • 3.1 Equation for the Balanced Output31
  • 3.2 The Unbalanced Output32
  • 3.3 From Monochromatic to Broadband Light33
  • 3.4 The Fourier Transform Spectrometer as a Modulator36
  • 3.5 Summary37
  • Chapter 4. Fourier Analysis41
  • 4.1 Linear Systems and Superposition42
  • 4.2 A Practical Approach to Fourier's Theorem43
  • 4.3 Fourier Decomposition46
  • 4.4 Representations of Functions and Their Transforms47
  • 4.5 Practical Representations49
  • 4.6 Linear Systems and Convolution49
  • 4.7 Generalized Functions54
  • 4.8 The Essential Theorems57
  • 4.9 Examples of Transform Pairs Fundamental to FTS63
  • Chapter 5. Nonideal (Real-World) Interferograms67
  • 5.1 Finite Path Difference68
  • 5.2 Finite Entrance Aperture Size69
  • 5.3 Finite Instrumental Function and its Properties73
  • 5.4 Non-uniform or Non-symmetric Irradiation of the Aperture79
  • Chapter 6. Working with Digital Spectra and Fourier Transforms81
  • 6.1 Signals and Measurement83
  • 6.2 Discrete Transforms86
  • 6.3 Interpolation in the Spectrum87
  • 6.4 Apodization93
  • 6.5 Preparation for Making Transforms98
  • 6.6 Procedure for Reliable Transforms98
  • Chapter 7. Phase Corrections and Their Significance101
  • 7.1 The What and Why of Phase101
  • 7.2 Origins of Asymmetries in the Interferogram102
  • 7.3 From Asymmetries to Phase Errors102
  • 7.4 Asymmetric Truncation, Amertization, and Phase Errors107
  • 7.5 More on One-Sided vs. Symmetric Interferograms112
  • 7.6 Determining Phase Shifts112
  • 7.7 Recommendations116
  • Chapter 8. Effects of Noise in Its Various Forms119
  • 8.1 Signal and Noise in the Two Domains120
  • 8.2 Noise Classifications122
  • 8.3 Unbalance, Misalignment, Modulation Efficiency, and Signal-to-Noise133
  • 8.4 Noise Limited Resolution134
  • 8.5 Localized Noise (Ghosts and Artifacts)134
  • 8.6 Summary140
  • Chapter 9. Line Positions, Line Profiles, and Fitting143
  • 9.1 Introduction143
  • 9.2 Line Finding and Line Shapes144
  • 9.3 Derivative Line Finding145
  • 9.4 Least Square Fitting of Line Profiles to Voigtian Functions154
  • 9.5 Areas and Equivalent Widths165
  • 9.6 Wavenumber Calibration166
  • Chapter 10. Processing of Spectral Data169
  • 10.1 Emission Background Subtraction and Intensity Correction170
  • 10.2 Absorption Background and Intensity Corrections173
  • 10.3 Line Lists and Fitting175
  • Chapter 11. Discussions, Interventions, Digressions, and Obscurations179
  • 11.1 A Novel Approach to Sampling Systems181
  • 11.2 The Imaging Fourier Transform Spectrometer (IFTS)186
  • 11.3 Characterization and Determination of Instrumental Line Shape Functions189
  • 11.4 Apodization190
  • 11.5 The Quest for the Perfect Instrument199
  • 11.6 On Fourier Transform Spectrometry and Digital Signal Processing204
  • 11.7 From Echelle Spectrographs to Echelle Spectrographs „ A 50-Year Circle205
  • 11.8 A Final Story211
  • Chapter 12. Chapter-by-Chapter Bibliography213
  • Chapter 13. Chronological Bibliography223
  • Chapter 14. Applications Bibliography233
  • Chapter 15. Author Bibliography243
  • Index259
Book details
  • Vendor Elsevier S & T
  • SKU 9780120425105
  • ISBN-13 9780080506913
  • Author Davis, Sumner P.; Abrams, Mark C.; Brault, James W.
  • Category Science
  • Subject Analytic

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Fourier Transform Spectrometry is of immediate use to those who use Fourier transform spectrometers in their research, or are considering their use. The authors' presentations enable readers to obtain a clear understanding of FTS, which is crucial to their studies and research.

Due to the increasing complexity and commercialization of instrumentation, achieving optimum performance in research applications and automated usage can be challenging. For example, a thorough understanding of the instrument can dramatically affect the outcome of the experiment and the generation of reliable data in applications where conditions are not ideal and resulting signals are weak. This book provides a comprehensive discussion of FTS from the ground up, covering basic concepts, instrumentation, data-processing algorithms, and techniques for computerized spectral analysis.