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Related Concept Videos

IR Spectrometers01:25

IR Spectrometers

There are two main infrared (IR) spectrophotometers: dispersive IR spectrometers and Fourier transform infrared (FTIR) spectrometers. In a dispersive IR spectrometer, a beam of infrared radiation produced by a hot wire is divided into two parallel equal-intensity beams using mirrors. One beam passes through the sample, while another is a reference beam. The beams then move through the monochromator, which separates the radiations into a continuous spectrum of different frequencies. The...
Continuous -time Fourier Transform01:11

Continuous -time Fourier Transform

The Fourier series is instrumental in representing periodic functions, offering a powerful method to decompose such functions into a sum of sinusoids. This technique, however, necessitates modification when applied to nonperiodic functions. Consider a pulse-train waveform consisting of a series of rectangular pulses. When these pulses have a finite period, they can be accurately represented by a Fourier series. Yet, as the period approaches infinity, resulting in a single, isolated pulse, the...
IR Frequency Region: Fingerprint Region01:03

IR Frequency Region: Fingerprint Region

IR spectra are divided into two main regions: the diagnostic region and the fingerprint region. The diagnostic region of the spectrum lies above 1500 cm−1. The absorptions resulting from single-bond vibrations of the N–H, C–H, and O–H stretch at higher wavenumbers and appear on the left side of the spectrum. The stretching absorptions of the C≡C and C≡N occur between 2100–2300 cm−1. In contrast, those arising from stretching absorptions of the C=O, C=N, and C=C occur between 1600–1850 cm−1.
The...
Properties of Fourier Transform I01:21

Properties of Fourier Transform I

The application of Fourier Transform properties in radio broadcasting is multifaceted, enabling significant advancements in the way signals are transmitted and received. Key areas where these properties are utilized include simultaneous multi-channel transmission, audio clip speed adjustments, live broadcast delays for different time zones, audio frequency adjustments, and signal demodulation.
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The Fast Fourier Transform (FFT) is a computational algorithm designed to compute the Discrete Fourier Transform (DFT) efficiently. By breaking down the calculations into smaller, manageable sections, the FFT significantly reduces the computational complexity involved. Direct computation of an N-point DFT requires N2 complex multiplications, whereas the FFT algorithm needs only (N/2)log⁡2N multiplications, offering a much faster performance.
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When electromagnetic radiation passes through a material, atoms or molecules transition from a lower to a higher energy state by absorbing radiation corresponding to the energy difference between the two states. The absorption of infrared (IR) radiation causes transitions between vibrational energy levels in a molecule. Therefore, IR spectroscopy is a useful analytical tool for determining the molecular structure of molecules.
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Related Experiment Video

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High-definition Fourier Transform Infrared (FT-IR) Spectroscopic Imaging of Human Tissue Sections towards Improving Pathology
11:05

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Published on: January 21, 2015

Double-pass Fourier transform imaging spectroscopy.

R Heintzmann, K Lidke, T Jovin

    Optics Express
    |May 29, 2009
    PubMed
    Summary
    This summary is machine-generated.

    A new double-pass Fourier-Transform Imaging Spectroscopy (FTIS) system simultaneously captures excitation and emission spectra from fluorescent samples in a single interferometer sweep. This advancement enhances spectral imaging of biological samples.

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    Area of Science:

    • Biophotonics
    • Spectroscopy
    • Microscopy

    Background:

    • Fourier-Transform Imaging Spectroscopy (FTIS) is a key technique for spectral imaging of fluorescent biological samples.
    • Existing FTIS systems require separate measurements for excitation and emission spectra.

    Purpose of the Study:

    • To develop a novel double-pass FTIS system for simultaneous excitation and emission spectral acquisition.
    • To enhance spectral imaging capabilities for fluorescent biological samples.

    Main Methods:

    • Modification of an existing FTIS system to include a double-pass configuration.
    • Placement of the excitation source before the interferometer to spectrally modulate both excitation and detection.
    • Reconstruction of independent excitation and emission spectra from acquired signals.
    • Utilizing a Sagnac interferometer for patterned excitation and optical sectioning.

    Main Results:

    • Successful simultaneous acquisition of excitation and emission spectra in a single interferometer sweep.
    • Demonstrated reconstruction of individual fluorophore spectra.
    • Achieved optical sectioning at excitation wavelengths due to patterned excitation.
    • Generated optically sectioned emission images from acquired data.

    Conclusions:

    • The novel double-pass FTIS system offers an efficient method for comprehensive spectral characterization of fluorescent samples.
    • This technique improves spectral imaging by enabling simultaneous excitation and emission spectrum acquisition.
    • The system provides optical sectioning capabilities, enhancing image quality for biological applications.