Fourier Transform Spectrometry (eBook)

Mark C. Abrams, James W. Brault, Sumner P. Davis (Autoren)

eBook Download: PDF

2001 | 1. Auflage
262 Seiten
Elsevier Science (Verlag)
978-0-08-050691-3 (ISBN)

Infos

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.

Inhalt

Cover 1
Fourier Transform Spectrometry 4
Copyright Page 5
Contents 8
Preface 14
Chapter 1. Introduction 16
1.1 Spectra and Spectroscopic Measurement 20
1.2 The Classical Michelson Interferometer 25
1.3 Precision, Accuracy, and Dynamic Range 27
1.4 Units 28
1.5 A Glance Ahead and to the Side 30
Chapter 2. Why Choose a Fourier Transform Spectrometer? 32
2.1 Quantity 33
2.2 Quality 35
2.3 Cost 39
2.4 Summary 40
Chapter 3. Theory of the Ideal Instrument 44
3.1 Equation for the Balanced Output 46
3.2 The Unbalanced Output 47
3.3 From Monochromatic to Broadband Light 48
3.4 The Fourier Transform Spectrometer as a Modulator 51
3.5 Summary 52
Chapter 4. Fourier Analysis 56
4.1 Linear Systems and Superposition 57
4.2 A Practical Approach to Fourier's Theorem 58
4.3 Fourier Decomposition 61
4.4 Representations of Functions and Their Transforms 62
4.5 Practical Representations 64
4.6 Linear Systems and Convolution 64
4.7 Generalized Functions 69
4.8 The Essential Theorems 72
4.9 Examples of Transform Pairs Fundamental to FTS 78
Chapter 5. Nonideal (Real-World) Interferograms 82
5.1 Finite Path Difference 83
5.2 Finite Entrance Aperture Size 84
5.3 Finite Instrumental Function and its Properties 88
5.4 Non-uniform or Non-symmetric Irradiation of the Aperture 94
Chapter 6. Working with Digital Spectra and Fourier Transforms 96
6.1 Signals and Measurement 98
6.2 Discrete Transforms 101
6.3 Interpolation in the Spectrum 102
6.4 Apodization 108
6.5 Preparation for Making Transforms 113
6.6 Procedure for Reliable Transforms 113
Chapter 7. Phase Corrections and Their Significance 116
7.1 The What and Why of Phase 116
7.2 Origins of Asymmetries in the Interferogram 117
7.3 From Asymmetries to Phase Errors 117
7.4 Asymmetric Truncation, Amertization, and Phase Errors 122
7.5 More on One-Sided vs. Symmetric Interferograms 127
7.6 Determining Phase Shifts 127
7.7 Recommendations 131
Chapter 8. Effects of Noise in Its Various Forms 134
8.1 Signal and Noise in the Two Domains 135
8.2 Noise Classifications 137
8.3 Unbalance, Misalignment, Modulation Efficiency, and Signal-to-Noise 148
8.4 Noise Limited Resolution 149
8.5 Localized Noise (Ghosts and Artifacts) 149
8.6 Summary 155
Chapter 9. Line Positions, Line Profiles, and Fitting 158
9.1 Introduction 158
9.2 Line Finding and Line Shapes 159
9.3 Derivative Line Finding 160
9.4 Least Square Fitting of Line Profiles to Voigtian Functions 169
9.5 Areas and Equivalent Widths 180
9.6 Wavenumber Calibration 181
Chapter 10. Processing of Spectral Data 184
10.1 Emission Background Subtraction and Intensity Correction 185
10.2 Absorption Background and Intensity Corrections 188
10.3 Line Lists and Fitting 190
Chapter 11. Discussions, Interventions, Digressions, and Obscurations 194
11.1 A Novel Approach to Sampling Systems 196
11.2 The Imaging Fourier Transform Spectrometer (IFTS) 201
11.3 Characterization and Determination of Instrumental Line Shape Functions 204
11.4 Apodization 205
11.5 The Quest for the Perfect Instrument 214
11.6 On Fourier Transform Spectrometry and Digital Signal Processing 219
11.7 From Echelle Spectrographs to Echelle Spectrographs „ A 50-Year Circle 220
11.8 A Final Story 226
Chapter 12. Chapter-by-Chapter Bibliography 228
Chapter 13. Chronological Bibliography 238
Chapter 14. Applications Bibliography 248
Chapter 15. Author Bibliography 258
Index 274

Produkt-Details

• Erscheint lt. Verlag: 30.5.2001
• Sprache: englisch
• Themenwelt: Sachbuch/Ratgeber
• Themenwelt: Naturwissenschaften ► Chemie ► Analytische Chemie
• Themenwelt: Naturwissenschaften ► Chemie ► Physikalische Chemie
• Themenwelt: Naturwissenschaften ► Physik / Astronomie ► Optik
• Themenwelt: Technik
• ISBN-10: 0-08-050691-7 / 0080506917
• ISBN-13: 978-0-08-050691-3 / 9780080506913