The mathematical methods named after J.B.J. DOI: 10.3390/cancers12010115 Corpus ID: 210042722. R. China 1. PDF | On Jun 13, 2020, Susheel Gulati published FOURIER TRANSFORM INFRARED SPECTROSCOPY | Find, read and cite all the research you need on ResearchGate %PDF-1.3 Fourier transform infrared spectroscopy (FTIR) is a technique which is used to obtain infrared spectrum of absorption, emission, and photoconductivity of solid, liquid, and gas. h�bbd``b`�$� Fv ��$8|@�b�"��k3&F�� ����-�` � FTIR (Fourier Transform Infrared) Spectroscopy is one of the most common spectroscopic techniques used by organic and inorganic chemists. Fourier Transform Infrared Spectroscopy Chapter 2.7 Fourier Transform Infrared Spectroscopy S. Petita and J. Madejovab a Universite´ de Poitiers, CNRS UMR 7285 IC2MP, HydrASA, F-86022 Poit... Download PDF The applications of infrared spectroscopy to pharmaceutical sciences is small compared to the applications of infrared spectroscopy to the fields of chemistry, biology, and biochemistry. Scribd is the world's largest social reading and publishing site. �ZQ�r­*XB�:`Rۄ�n���D��E� The Second Edition of Fourier Transform Infrared Spectrometry brings this core reference up to date on the uses of FT-IR spectrometers today. Fourier transform infrared spectroscopy is a well-known analytical technique that can give information on the nature and the content of existing functional and structural groups in bitumen (Pieri, 1994). x�͝[��u���)*WȀR��� ����˾̶F����fV��ӧoEV��o�{�l��.��f����?�2�y�e0~t&���!k7��F��X���z��p;����Ͱ�������sz�^��3h�g���hB\}ٽo�~�ë!�fx�fx1�nx��_ V�Ǵ��c�O��g����O��0����;cFn?��Wl���"թ�b�j1�!x���S��v�bwS:N(����?��uBy?�Ø�������kw�L�S�*���S/�4[���������݀��(�������#qڡ�n�j�]��H�6���/Ǒ�PI�0tՍ8���#i�_�(o�q�M�l�m��������=}����SC*���q$�iI?t�Đa�c��ٍ�6���%MEĚ:9��S��ϔo+�S���4}��:O�oeči�pu֌&��X�4���n"��?���~8���o���;���8���+�ʿ�c����rp7-�}~��d��^Zӎ��A/N�r0��1�*�-/�3�_낟����,�__������A��\�,�w���._{���^�œ�/U�r���\��h�|z J, 1k^��nِ̤�~|!E!���{���S���O��\?tEN��s�]�BN�'���+�*���پ^�����]�KsƎ��*�Uх]G��A?�0ƪ�ω���vs�3r[aN����"v˹�E�Yo�g��I�WeO��pڀ���:,�~Z��oϤI?��Q�R�و�s6R��}?mW]���FhCUKo���[̶�zRyw����a�J/��䎖���ϓR���:[`n�H��6o��B[�K�n9�b����[c&�KF��A��0�T�1��:�r�F���P�I��qĺ�s>���-z[��w�`]�6���S�ߣ^��Xp댶&g��šA�I|CU�:a0�:Y�m����̆rgV�n��i��1�H��u�?uo\��X+W�����i��Sh\��Un���l=����*���|��^�M�B�E��r>]=��J�D�ބ�1�l(�\b��[��%���/��.�Q_gJE죢ɣ>Ͷ�^ϩ�G���x&M'z�l��q��s@�c7��,�V�%���dIՋ�ђ�ba���k g&����iq>]��}'-�Z_�S,l�A���~�Zr�-Z��ވ��W��N����ILd! James, A student’s guide to Fourier transforms, 2nd ed., pp. ), pp. However, it remains an automated background process perceived by many students as difficult to understand. Epub 2014 Jul 3. 3 Fourier Transform Infrared Spectroscopy for Natural Fibres Mizi Fan 1,2, Dasong Dai 1,2 and Biao Huang 2 1Department of Civil Engineering, Brunel University, London, UB8 3PH, 2School of Material and Engineering, Fu jian Agricultural and Forestry University, 1UK 2P. The Fourier Transform 1.1 Fourier transforms as integrals There are several ways to de ne the Fourier transform of a function f: R ! Fourier transform infrared spectroscopy originates from the fact that a Fourier transform (a mathematical process) is required to process the raw data into a spectrum so that it can be interpreted. In this paper we present a simple open-source web application, which can help students to understand the basics of the FT applied to nuclear magnetic resonance (NMR) spectroscopy. Fourier Transform Spectroscopy (FTS) 14 - 17 November 2016 14 November 2016 Kongresshalle am Zoo Leipzig, Leipzig, Germany The Fourier Transform Spectroscopy (FTS) Meeting focuses on the latest advances in instrumentation and applications of FTS to astronomy and astrophysics, atmospheric science and remote sensing, laboratory spectroscopy, analytical chemistry, … We have solved this problem by completing the set of samples by zeros (zero h��WmO�F�+�T!���tB���"�hK�Q)�C\����1���of�u6��Vj���h7�>��g7^Zƙ��� �gN���yř�V��Q�Jf�����In�\&�G�eJkp�SրK���[f�6l�MF��b]�!������/ͼl����d^�ڪ}'������r bƏ���d}�?�&M�Ӳ� 76–85. 185–196, Fourier transform spectroscopy. transform infrared ( FTIR) spectroscopy to volcanic gas geochemistry. An FTIR spectrometer simultaneously collects high-resolution spectral data over a wide spectral range. 1965 - Cooley-Tukey (re) invented Fast Fourier Transform algorithm (FFT). The book approaches the subject matter in two ways. The book starts with an in-depth description of the theory and current instrumentation of FT-IR spectrometry, with full chapters devoted to signal-to-noise ratio and photometric accuracy. 3 Fourier Transform Infrared Spectroscopy for Natural Fibres Mizi Fan 1,2, Dasong Dai 1,2 and Biao Huang 2 1Department of Civil Engineering, Brunel University, London, UB8 3PH, 2School of Material and Engineering, Fu jian Agricultural and Forestry University, 1UK 2P. Suggested readings on Fourier transform spectroscopy Papers provided: 1. IR spectroscopy operates in the mid-infrared region with wavenumbers spanning from about 400 cm-1 to 4000 cm-1. This is the principle on which a pulse Fourier transform spectrometer operates. A sophisticated time-domain technique, 2DFT spectroscopy measures the phase of a nonlinear signal, which is generated by the Figure 3. Using Fourier transform IR spectroscopy to analyze biological materials Nat Protoc. A closer look at the behavior of this device shows Anne P. Thorne, Spectrophysics (2nd ed. Most commercial FT instruments specify an accuracy of iO.O1 em-'. 2014 Aug;9(8):1771-91. doi: 10.1038/nprot.2014.110. Introductory Fourier Transform Spectroscopy discusses the subject of Fourier transform spectroscopy from a level that requires knowledge of only introductory optics and mathematics. The lack of specificity of this technique, on the one hand, permits us to probe directly the vibrational properties of almost all the cofactors, amino acid side chains, and of water molecules. FW2B.2 Fourier Transform Spectroscopy (FTS) 2018 View: PDF An Analysis and Correction of Polarization Induced Calibration Errors for the Cross-track Infrared Sounder (CrIS) Sensor Joe K. Taylor, Henry E. Revercomb, and David C. Tobin Diffuse Reflectance Infrared Fourier Transform Spectroscopy (DRIFTS) is a technique that collects and analyzes scattered IR energy. Fourier transform infrared (FTIR) spectroscopy probes the vibrational properties of amino acids and cofactors, which are sensitive to minute structural changes. h�b```�lf�/������0�ܝ�!�qځ���'s2���Fl�XCDF�Y�)�新�ͮ� �H�&n�6 ���̚�����1���Hit40t40u4p0Dt0e4��X 8, :D���%H�1�i������ )d20��7�p]�.�,��������iuƖ�@���A3�9Cƃ1U�� �}8� Fundamentals of Fourier Transform Infrared Spectroscopy teaches the basics of FTIR spectroscopy to those new to the field and serves as an excellent reference for experienced users. 0 3. The experimental skills, data analysis, and correlations between the FTIR spectroscopic bands and protein secondary structure components are discussed. INTRODUCTION The total internal energy of a molecule in a first approximation can be resolved into the sum of rotational, vibrational and electronic energy levels. From: Polymer Modified Bitumen, 2011. 76–85. While it is questionable that this value can be at- tained when measuring real absorption bands with finite half-widths, accuracies of the order of a few tenths of a wavenumher Diffuse Reflectance Infrared Fourier Transform Spectroscopy (DRIFTS) is a technique that collects and analyzes scattered IR energy. 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W����b��R�\��RL��U�Q��. However, with the development of Fourier transform infrared (FTIR) spectroscopy, it has become a more popular method for the quantitative analysis of complex mixtures, as well as the investigation of surface and interfacial phenomena. %PDF-1.5 %���� DOI: 10.3390/cancers12010115 Corpus ID: 210042722. PART ONE THEORY AND OPERATION PRINCIPLE OF FTIR SPECTROMETER 1. By exposing the sample to a very short (10 to 100 μsec), relatively strong (about 10,000 times that used for a CW spectrometer) burst of rf energy along the x-axis, as described above , all … Fourier Transform Infrared Spectroscopy as a Cancer Screening and Diagnostic Tool: A Review and Prospects @article{Su2020FourierTI, title={Fourier Transform Infrared Spectroscopy as a Cancer Screening and Diagnostic Tool: A Review and Prospects}, author={Kar-Yan Su and Wai-Leng Lee}, journal={Cancers}, year={2020}, volume={12} } %%EOF The Fourier In all other cases there is a mismatch between the sets of wavelengths resulting from the FFT and the wavelengths of the real comb teeth. Fourier transform spectroscopy Michelson interferometer (revisited) In a previous section, Michelson interferometer was described as a tool for determining wavelengths accurately. Micro Attenuated Total Reflectance (ATR) The ATR crystal is a part of an objective that can be A bestselling classic reference, now expanded and updated to cover the latest instrumentation, methods, and applications The Second Edition of Fourier Transform Infrared Spectrometry brings this core reference up to date on the uses of FT-IR spectrometers today. R. China 1. Spectral Characterization of the Herschel SPIRE Photometer Locke Spencer MSc thesis excerpt (2005) 3. Introduction Infrared spectroscopy is nowadays one of the most important analytical techniques Basics of Fourier Transform Applied to NMR Spectroscopy: An Interactive Open-Source Web Application Yannick J. Esvan† and Wael Zeinyeh*,‡ †Charnwood Molecular Ltd., Nottingham NG1 1GF, United Kingdom ‡Universitéde Lyon, UniversitéClaude Bernard Lyon 1, Lyon Neuroscience Research Center, CNRS UMR5292, INSERM U1028, 59 bd Pinel 69677 Bron Cedex, … In this paper we present a simple open-source web application, which can help students to understand the basics of the FT applied to nuclear magnetic resonance (NMR) spectroscopy. Fourier Transform (FFT) would calculate results exactly at the positions of real comb teeth. Anne P. Thorne, Spectrophysics (2nd ed. Reflecting the myriad changes and advancements in the technologies involved in FTIR, particularly the development of diamond ATRs, this second edition of Fundamentals of Fourier Transform Infrared Spectroscopy has been extensively rewritten and expanded to include new topics and figures as well as updates of existing chapters. The Fourier transform conversion, sometimes called Fast Fourier Transformation (FFT) is … It is used for measurement of fine particles and << /Length 4 0 R /Filter /FlateDecode >> We have solved this problem by completing the set of samples by zeros (zero For F-T spectrometers ma ny alternatives exist, but most common and instructive is the F-T spectrometer based on … Fourier Transform Spectroscopy (FTS) 14 - 17 November 2016 14 November 2016 Kongresshalle am Zoo Leipzig, Leipzig, Germany The Fourier Transform Spectroscopy (FTS) Meeting focuses on the latest advances in instrumentation and applications of FTS to astronomy and astrophysics, atmospheric science and remote sensing, laboratory spectroscopy, analytical … This confers a significant advantage over a dispersive spectrometer, which measures intensity over a narrow range of wavelengths at a time. 185–196, Fourier transform spectroscopy. reproducibility of Fourier Transform instruments, makes it possible to substract the diamond spectrum and to obtain clean spectra of the sample. The book starts with an in-depth description of the theory and current instrumentation of FT-IR spectrometry, with full chapters devoted to signal-to-noise ratio and photometric accuracy. Designed for those new to FTIR, but with enough … Diamond cell and a pressed sample on a diamond cell 2.2.2. This review introduces the recent developments in Fourier transform infrared (FTIR) spectroscopy technique and its applications to protein structural studies. Introduction Infrared spectroscopy is nowadays one of the most important analytical techniques Fourier Transform infrared spectroscopy functions on the principle that molecular bonds will be excited by certain frequencies. reproducibility of Fourier Transform instruments, makes it possible to substract the diamond spectrum and to obtain clean spectra of the sample. When the Fourier transform of an infrared signal is taken, any dips or voids in the signal represent molecules that were in the beam pathway that were excited and, therefore, absorbed that stretch of the radiation. The Fourier transformation (FT) is a mathematical process frequently encountered by chemistry students. Fourier-transform infrared spectroscopy (FTIR) is a technique used to obtain an infrared spectrum of absorption or emission of a solid, liquid or gas. Micro Attenuated Total Reflectance (ATR) The ATR crystal is a part of an objective that can be %��������� The Second Edition of Fourier Transform Infrared Spectrometry brings this core reference up to date on the uses of FT-IR spectrometers today. IR Biotyper (Bruker Daltonics GmbH) is a new typing machine based on Fourier-transform infrared (FTIR) spectroscopy which generates spectra, aiming at typing the micro-organisms within 3 h. This technique discriminates the isolates by exploring the differences of the surface cell polysaccharides. The lack of specificity of this technique, on the one hand, permits us to probe directly the vibrational properties of almost all the cofactors, amino acid side chains, and of water molecules. 825 0 obj <>/Filter/FlateDecode/ID[<0A901C8AA3DCF241AAF12B2E3EF6E99A>]/Index[816 25]/Info 815 0 R/Length 61/Prev 104296/Root 817 0 R/Size 841/Type/XRef/W[1 2 1]>>stream Time to compute Fourier transform reduced from days to minutes Over the last 50 years FTS have moved from the specialized domain of the physics laboratory and are now found as standard diagnostic tools in many branches of science and industry. Fourier Transform Infrared Spectroscopy as a Cancer Screening and Diagnostic Tool: A Review and Prospects @article{Su2020FourierTI, title={Fourier Transform Infrared Spectroscopy as a Cancer Screening and Diagnostic Tool: A Review and Prospects}, author={Kar-Yan Su and Wai-Leng Lee}, journal={Cancers}, year={2020}, volume={12} } However, it remains an automated background process perceived by many students as difficult to understand. The Fourier transform conversion, sometimes called Fast Fourier Transformation (FFT) is … Getting the spectra from the interferogram Usually, one is interested in the spectrum of the light source producing the interferogram. Infrared radiation is invisible electromagnetic radiation just bellow the red … Fourier Transform Infrared Spectroscopy (1) - Free download as Powerpoint Presentation (.ppt), PDF File (.pdf), Text File (.txt) or view presentation slides online. endstream endobj 817 0 obj <>/Metadata 47 0 R/Outlines 71 0 R/PageLayout/OneColumn/Pages 812 0 R/StructTreeRoot 106 0 R/Type/Catalog>> endobj 818 0 obj <>/Font<>>>/Rotate 0/StructParents 0/Type/Page>> endobj 819 0 obj <>stream Designed for those new to FTIR, but with enough … 2. FTh4B.2 Fourier Transform Spectroscopy (FTS) 2016 View: PDF The As-Built Performance of the MIGHTI Interferometers John M. Harlander, Christoph R. Englert, Charles M. Brown, Kenneth D. Marr, Ian J. Miller, Vaz Zastera, Bernhard W. Bach, and Stephen B. Mende 1965 - Cooley-Tukey (re) invented Fast Fourier Transform algorithm (FFT). Fundamentals of Fourier Transform Infrared Spectroscopy teaches the basics of FTIR spectroscopy to those new to the field and serves as an excellent reference for experienced users. 3. To download a PDF of this article: Fourier Transform Spectroscopy. This book explains difficult theoretical concepts using diagrams and easy-to-understand language with a minimum of complex mathematics. Fourier-transform spectroscopy is a measurement technique whereby spectra are collected based on measurements of the coherence of a radiative source, using time-domain or space-domain measurements of the electromagnetic radiation or other type of radiation. C. In this section, we de ne it using an integral representation and state some basic uniqueness and inversion properties, without proof. �cz۾�QQi�qǀ��V�T��X�J(��3� �Q�!-��t�p/��[G�d�,�n�1�. Fourier transform spectroscopy is the name currently used to describe a technique for measuring the spectrum of a substance in which computation of the Fourier transform of physical data is an integral part of the procedure. Infrared (IR) spectroscopy has always been a powerful tool for the identification of organic materials. Spectral Characterization of the Herschel SPIRE Photometer Locke Spencer MSc thesis excerpt (2005) 3. 2014 Aug;9(8):1771-91. doi: 10.1038/nprot.2014.110. The Fouriertransformspectroscopy Fourier transform spectroscopy is a measurement technique whereby spectra are collected based on measurements of the coherence of a radiative source, using time-domain or space-domain measurements of the electromagnetic radiation or other type of radiation. Fourier transform spectroscopy Derek M. Kita 1,2, Brando Miranda3, David Favela4, David Bono1, Jérôme Michon1,2, Hongtao Lin 1,2, Tian Gu1,2 & Juejun Hu1,2 On-chip spectrometers have the potential to offer dramatic size, weight, and power advan-tages over conventional benchtop instruments for many applications such as spectroscopic A Fourier transform spectrometer (FTS) is an optical device that utilizes an interferometer with a translating mirror to produce an interferogram. 2 0 obj It functions on the basis of absorption of IR photons by a sample. Optical two-dimensional Fourier-transform (2DFT) spec-troscopy has been shown to separate various quantum excita-tion pathways by spreading the spectrum of a coherent signal on a two-dimensional frequency plane [10]. Fourier transform infrared (FTIR) spectroscopy probes the vibrational properties of amino acids and cofactors, which are sensitive to minute structural changes. The conversion of acid form to neutral form via decarboxylation reaction that occurs upon addition of heat to THCA, producing the psychoactive compound THC. Fourier Transform (FFT) would calculate results exactly at the positions of real comb teeth. Principles of Fourier-transform spectroscopy In this paragraph we want to discuss in cond ensed form the principal issues important for correct measurement. A further recent development has been the application of open-path Fourier 0143± 1161/98 $12.00 Ñ 1998 Taylor & Francis Ltd 374 C. Oppenheimer et al. INTRODUCTION The Michelson interferometer is the best known of a class of mirrored interferometers known as amplitude-splitting interferometers. Time to compute Fourier transform reduced from days to minutes Over the last 50 years FTS have moved from the specialized domain of the physics laboratory and are now found as standard diagnostic tools in many branches of science and industry. The subject is approached through optical principles, not through abstract mathematics. To download a PDF of this article: Fourier Transform Spectroscopy. Using Fourier transform IR spectroscopy to analyze biological materials Nat Protoc. Figure 3. FW2B.2 Fourier Transform Spectroscopy (FTS) 2018 View: PDF An Analysis and Correction of Polarization Induced Calibration Errors for the Cross-track Infrared Sounder (CrIS) Sensor Joe K. Taylor, Henry E. Revercomb, and David C. Tobin Infrared spectroscopy is the study of interactions between matter Fourier transform infrared (FTIR) spectroscopy probes the vibrational properties of amino acids and cofactors, which are sensitive to minute structural changes. SHIFTS: Simulator for the Herschel Imaging Fourier Transform Spectrometer,John Lindnder MSc thesis excerpt (2006) 2. A Fourier transform of the interferogram provides the spectrum of the source. It is used for measurement of fine particles and Fourier Transform Mid-Infrared Spectroscopy APPLICATION NOTE FT-IR Spectroscopy Figure 1. A Fourier transform of the interferogram provides the spectrum of the source. C. In this section, we de ne it using an integral representation and state some basic uniqueness and inversion properties, without proof. This is unfortunate because modern routine infrared spectrometers are excellent research tools that provide very high signal-to-noise, high resolution, and extensive data-manipulation computer software packages. This book explains difficult theoretical concepts using diagrams and easy-to-understand language with a minimum of complex mathematics. One-Dimensional Fourier Transform Spectroscopy A major improvement in the signal-to-noise ra-tio of NMR spectra was achieved in 1964 by the conception of Fourier transform (FT) spectroscopy. Fourier transform infrared (FTIR) spectroscopy is sensitive to the molecular composition of tissue and has the potential to identify premalignant tissue (dysplasia) as an adjunct to endoscopy. The Fourier transformation (FT) is a mathematical process frequently encountered by chemistry students. Fourier transform spectroscopy can be applied to a variety of regions of spectroscopy and it continues to grow in application and utilization including optical spectroscopy, infrared spectroscopy (IR), nuclear magnetic resonance, electron paramagnetic resonance spectroscopy, mass spectrometry, and magnetic resonance spectroscopic imaging (MRSI). 840 0 obj <>stream NUCLEAR MAGNETIC RESONANCE FOURIER TRANSFORM SPECTROSCOPY Nobel Lecture, December 9, 1992 by RICHARD R. ERNST Laboratorium für Physikalische Chemie, Eidgenössische Technische Hoch-schule, ETH-Zentrum 8092 Zurich, Switzerland The world of the nuclear spins is a true paradise for theoretical and experimental physicists. FTh4B.2 Fourier Transform Spectroscopy (FTS) 2016 View: PDF The As-Built Performance of the MIGHTI Interferometers John M. Harlander, Christoph R. Englert, Charles M. Brown, Kenneth D. Marr, Ian J. Miller, Vaz Zastera, Bernhard W. Bach, and Stephen B. Mende The Fourier Transform 1.1 Fourier transforms as integrals There are several ways to de ne the Fourier transform of a function f: R ! Fourier transform infrared (FTIR) spectroscopy is sensitive to the molecular composition of tissue and has the potential to identify premalignant tissue (dysplasia) as an adjunct to endoscopy. 66 Chapter 2 Fourier Transform called, variously, the top hat function (because of its graph), the indicator function, or the characteristic function for the interval (−1/2,1/2). II. FOURIER TRANSFORM INFRA-RED (FTIR) SPECTROSCOPY . The principles behind this technique are not �K5��JU��԰��:\_�ގհ[�����?���yXե���~v�ڱ^��Uu�zcU7PZ���zWY;�w�Cޒ&�I�Wjt=����%���XH�o�#LD3�z��oŐC��^�v�fQ{��U:��F�E����o=8Z3;+D�ד*�lF+�O"l_��V*8:�&�2�ejo���jA:[�� Fourier transform spectroscopy can be applied to a variety of regions of spectroscopy and it continues to grow in application and utilization including optical spectroscopy, infrared spectroscopy (IR), nuclear magnetic resonance, electron paramagnetic resonance spectroscopy, mass spectrometry, and magnetic resonance spectroscopic imaging (MRSI). 816 0 obj <> endobj Fourier transform infrared spectroscopy originates from the fact that a Fourier transform (a mathematical process) is required to process the raw data into a spectrum so that it can be interpreted. A Fourier transform spectrometer (FTS) is an optical device that utilizes an interferometer with a translating mirror to produce an interferogram. ”Fourier spectroscopy“ is a general term that describes the analysis of any varying signal into its constituent frequency components. integral, called (cosine) Fourier transform, has a slightly simpler mathematical form when expressed in wave-numbers. Suggested readings on Fourier transform spectroscopy Papers provided: 1. INTRODUCTION The Michelson interferometer is the best known of a class of mirrored interferometers known as amplitude-splitting interferometers. stream James, A student’s guide to Fourier transforms, 2nd ed., pp. endstream endobj startxref Fourier Transform Infrared Spectroscopy (short FT-IR) is one of the techniques that are used today for mea-suring the intensity of infrared radiation as a function of frequency or wavelength. Diamond cell and a pressed sample on a diamond cell 2.2.2. Fourier Transform Infrared Spectroscopy. In all other cases there is a mismatch between the sets of wavelengths resulting from the FFT and the wavelengths of the real comb teeth. It is used to detect different functional groups in PHB. The basic principle-parallel data acquisition, lead-ing to the multiplex advantage-was applied already by Michelson in 1891 in optical spectroscopy (16) Reflecting the myriad changes and advancements in the technologies involved in FTIR, particularly the development of diamond ATRs, this second edition of Fundamentals of Fourier Transform Infrared Spectroscopy has been extensively rewritten and expanded to include new topics and figures as well as updates of existing chapters. SHIFTS: Simulator for the Herschel Imaging Fourier Transform Spectrometer,John Lindnder MSc thesis excerpt (2006) 2. 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