Fourier Transform Spectrometry by Sumner P. Davis PDF

By Sumner P. Davis

ISBN-10: 0120425106

ISBN-13: 9780120425105

Content material:
Preface

, Pages xiii-xiv
1 - Introduction

, Pages 1-16
2 - Why selected a fourier rework spectrometer?

, Pages 17-27
3 - concept of the perfect instrument

, Pages 29-39
4 - Fourier analysis

, Pages 41-66
5 - Nonideal (real-world) interferograms

, Pages 67-80
6 - operating with electronic interferograms, fourier transforms, and spectra

, Pages 81-99
7 - section corrections and their significance

, Pages 101-117
8 - results of noise in its a variety of forms

, Pages 119-141
9 - Line positions, line profiles, and line fitting

, Pages 143-168
10 - Processing of spectral data

, Pages 169-177
11 - Discussions, interventions, digressions and obscurations

, Pages 179-212
12 - Chapter-by-chapter bibliography

, Pages 213-222
13 - Chronological bibliography

, Pages 223-231
14 - functions Bibliography

, Pages 233-242
15 - writer Bibliography

, Pages 243-258
Index

, Pages 259-262

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Additional info for Fourier Transform Spectrometry

Example text

Chapter 7 will provide more detailed explanations of the interplay between real and imaginary functions and phase and how we arrive at a real spectrum. 3 Fourier Decomposition The inverse process is that of sorting out the frequency distribution B{(j)^ given the interferogram I(x) as an input. It is the process of demultiplexing the interferogram into its constituent spectral elements, or Fourier decomposition. To extract the function JB(cr) from Eq. 13) or -t-oo r+oo / I{x)e-'^'"'''dx. 14) -OO But this says that the function B{a) is defined by a nearly identical relation to that which yielded the function /(x).

The even rectangular function transforms into a sine {smx/x) spectrum line with only a real amplitude. The second transforms into the cosine function lying in the imaginary plane, and the third transforms into a complex line shape function that changes phase with frequency (the rotation about the frequency axis). In addition, the asymmetric single-sided interferogram is the sum of the symmetric interferogram and the antisymmetric interferogram; correspondingly, the complex line shape function is the complex (vector) sum of the real sine function and the imaginary cosine function.

The choice of retro-reflectors stems from the fact that it is difficult to keep two plane mirrors exactly perpendicular to the optical axis as they are scanning. Optical alignment errors produce errors in the spectrum line profiles. Errors in perpendicularity needfirst-ordercorrections, while retro-reflectors require only second-order corrections. In an interferometer, the incident light is focused onto an entrance aperture, a circular opening typically 1 to 10 mm in diameter, as shown in Fig. 6.

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Fourier Transform Spectrometry by Sumner P. Davis


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