Fourier analysis

Fourier-transform spectroscopy

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 radiation, electromagnetic or not. It can be applied to a variety of types of spectroscopy including optical spectroscopy, infrared spectroscopy (FTIR, FT-NIRS), nuclear magnetic resonance (NMR) and magnetic resonance spectroscopic imaging (MRSI), mass spectrometry and electron spin resonance spectroscopy. There are several methods for measuring the temporal coherence of the light (see: field-autocorrelation), including the continuous-wave and the pulsed Fourier-transform spectrometer or Fourier-transform spectrograph.The term "Fourier-transform spectroscopy" reflects the fact that in all these techniques, a Fourier transform is required to turn the raw data into the actual spectrum, and in many of the cases in optics involving interferometers, is based on the Wiener–Khinchin theorem. (Wikipedia).

Fourier-transform spectroscopy
Video thumbnail

The Fourier Transform and Derivatives

This video describes how the Fourier Transform can be used to accurately and efficiently compute derivatives, with implications for the numerical solution of differential equations. Book Website: http://databookuw.com Book PDF: http://databookuw.com/databook.pdf These lectures follow

From playlist Fourier

Video thumbnail

Electrical Engineering: Ch 19: Fourier Transform (2 of 45) What is a Fourier Transform? Math Def

Visit http://ilectureonline.com for more math and science lectures! In this video I will explain the mathematical definition and equation of a Fourier transform. Next video in this series can be seen at: https://youtu.be/yl6RtWp7y4k

From playlist ELECTRICAL ENGINEERING 18: THE FOURIER TRANSFORM

Video thumbnail

The Two-Dimensional Discrete Fourier Transform

The two-dimensional discrete Fourier transform (DFT) is the natural extension of the one-dimensional DFT and describes two-dimensional signals like images as a weighted sum of two dimensional sinusoids. Two-dimensional sinusoids have a horizontal frequency component and a vertical frequen

From playlist Fourier

Video thumbnail

To Understand the Fourier Transform, Start From Quantum Mechanics

Develop a deep understanding of the Fourier transform by appreciating the critical role it plays in quantum mechanics! Get the notes for free here: https://courses.physicswithelliot.com/notes-sign-up Sign up for my newsletter for additional physics lessons: https://www.physicswithelliot.c

From playlist Physics Mini Lessons

Video thumbnail

What is the Fourier Transform?

In this video, we'll look at the fourier transform from a slightly different perspective than normal, and see how it can be used to estimate functions. Learn about the Fourier series here: http://youtu.be/kP02nBNtjrU

From playlist Fourier

Video thumbnail

Electrical Engineering: Ch 19: Fourier Transform (1 of 45) What is a Fourier Transform?

Visit http://ilectureonline.com for more math and science lectures! In this video I will explain what is a Fourier transform and how is it different from the Fourier series. Next video in this series can be seen at: https://youtu.be/fMHk6_1ZYEA

From playlist ELECTRICAL ENGINEERING 18: THE FOURIER TRANSFORM

Video thumbnail

Fourier Transforms: Discrete Fourier Transform, Part 3

Data Science for Biologists Fourier Transforms: Discrete Fourier Transform Part 3 Course Website: data4bio.com Instructors: Nathan Kutz: faculty.washington.edu/kutz Bing Brunton: faculty.washington.edu/bbrunton Steve Brunton: faculty.washington.edu/sbrunton

From playlist Fourier

Video thumbnail

Fourier Transform

What is a Fourier Transform and how does it relate to the Fourier Series? In this video, we discuss the idea of the Fourier Cosine Transform.

From playlist Mathematical Physics II Uploads

Video thumbnail

Chem 203. Organic Spectroscopy. Lecture 08. Introduction to NMR Spectroscopy, Part 2

UCI Chem 203 Organic Spectroscopy (Fall 2011) Lec 08. Organic Spectroscopy -- Introduction to NMR Spectroscopy -- Concepts and Theory, Part 2 View the complete course: http://ocw.uci.edu/courses/chem_203_organic_spectroscopy.html Instructor: James Nowick, Ph.D. License: Creative Commons B

From playlist Chem 203: Organic Spectroscopy

Video thumbnail

Chem 203. Lecture 09: NMR Spectroscopy Concepts and Theory, Part 2

Full Chem 203 Playlist: https://www.youtube.com/playlist?list=PLqOZ6FD_RQ7nUiPCa47zSrMWArKAdwfcD UCI Chem 203 Organic Spectroscopy (Fall 2020) Lecture 09: NMR Spectroscopy Concepts and Theory, Part 2 Instructor: James S. Nowick, Ph.D. License: Creative Commons BY-NC-SA Terms of Use: http:

From playlist Chemistry 203, Organic Spectroscopy (2020)

Video thumbnail

Molecular Structure & Statistical Mechanics 131B. Lecture 16. Fourier Transforms, NMR Intro

UCI Chem 131B Molecular Structure & Statistical Mechanics (Winter 2013) Lec 16. Molecular Structure & Statistical Mechanics -- Fourier Transforms, NMR Intro -- Part 1. View the complete course: http://ocw.uci.edu/courses/chem_131b_molecular_structure_and_elementary_statistical_mechanics.ht

From playlist Chem 131B: Molecular Structure & Statistical Mechanics

Video thumbnail

Lec 16 | MIT 5.74 Introductory Quantum Mechanics II, Spring 2009

Lecture 16: Characterizing Fluctuations View the complete course: http://ocw.mit.edu/5-74S09 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu

From playlist MIT 5.74 Introductory Quantum Mechanics II, Spring 2009

Video thumbnail

The Fourier Transform

This video will discuss the Fourier Transform, which is one of the most important coordinate transformations in all of science and engineering. Book Website: http://databookuw.com Book PDF: http://databookuw.com/databook.pdf These lectures follow Chapter 2 from: "Data-Driven Science an

From playlist Fourier

Video thumbnail

18. Line Broadening II

MIT 8.421 Atomic and Optical Physics I, Spring 2014 View the complete course: http://ocw.mit.edu/8-421S14 Instructor: Wolfgang Ketterle In this lecture, the professor used simple cases to explain line shifts and broadening. License: Creative Commons BY-NC-SA More information at http://oc

From playlist MIT 8.421 Atomic and Optical Physics I, Spring 2014

Video thumbnail

Lec 35 | MIT 5.80 Small-Molecule Spectroscopy and Dynamics, Fall 2008

Lecture 35: Wavepacket dynamics II Instructor: Robert Field View the complete course: http://ocw.mit.edu/5-80F08 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu

From playlist MIT 5.80 Small-Molecule Spectroscopy and Dynamics, Fall 2008

Video thumbnail

MagLab User Summer School: Optical Spectroscopy of Condensed Matter

This video was recorded in 2016 at the National MagLab’s annual User Summer School, where early-career scientists learn from lab experts best practices for conducting experiments at the lab. For more information, please visit https://nationalmaglab.org/user-summer-school

From playlist User Summer School Talks

Video thumbnail

Chem 203. Organic Spectroscopy. Lecture 20. Understanding Complex Pulse Sequences

UCI Chem 203 Organic Spectroscopy (Fall 2011) Lec 20. Organic Spectroscopy -- Understanding Complex Pulse Sequences View the complete course: http://ocw.uci.edu/courses/chem_203_organic_spectroscopy.html Instructor: James Nowick, Ph.D. License: Creative Commons BY-NC-SA Terms of Use: http

From playlist Chem 203: Organic Spectroscopy

Video thumbnail

22. Coherence II

MIT 8.421 Atomic and Optical Physics I, Spring 2014 View the complete course: http://ocw.mit.edu/8-421S14 Instructor: Wolfgang Ketterle In this video, the professor reviewed spontaneous emission and discussed coherence in two-level systems. License: Creative Commons BY-NC-SA More informa

From playlist MIT 8.421 Atomic and Optical Physics I, Spring 2014

Video thumbnail

Electrical Engineering: Ch 19: Fourier Transform (3 of 45) What is a Fourier Transform? Simple Ex.

Visit http://ilectureonline.com for more math and science lectures! In this video I will solve F(w)=? of a simple example of a Fourier transform. Next video in this series can be seen at:

From playlist ELECTRICAL ENGINEERING 18: THE FOURIER TRANSFORM

Related pages

Wavenumber | Fourier-transform infrared spectroscopy | Sine and cosine transforms | Fourier transform | Coherence (physics) | Wiener–Khinchin theorem