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Related Concept Videos

2D NMR: Overview of Heteronuclear Correlation Techniques01:18

2D NMR: Overview of Heteronuclear Correlation Techniques

Heteronuclear correlation spectroscopy is an analytical technique that investigates the coupling between different types of nuclei, often a proton and an X-nucleus, such as carbon-13 or nitrogen-15. This method is commonly used in nuclear magnetic resonance (NMR) spectroscopy to gain insights into complex chemical compounds' structural and compositional aspects. A typical heteronuclear correlation spectrum displays X-nucleus chemical shifts on one axis and a proton spectrum on the other axis.
2D NMR: Homonuclear Correlation Spectroscopy (COSY)01:06

2D NMR: Homonuclear Correlation Spectroscopy (COSY)

Homonuclear correlation spectroscopy, or COSY, is a 2-dimensional NMR technique that provides information about coupled protons. Typically, the geminal and vicinal coupling are observed. For example, consider the COSY spectrum of ethyl acetate, where its 1D proton NMR spectrum is plotted along the vertical and horizontal axes with their corresponding chemical shift scale. Three spots on the diagonal corresponding to the three peaks in the 1D proton spectrum are called diagonal peaks. The COSY...
2D NMR: Overview of Homonuclear Correlation Techniques01:16

2D NMR: Overview of Homonuclear Correlation Techniques

Homonuclear correlation spectroscopy (COSY) is a powerful technique used in Nuclear Magnetic Resonance (NMR) spectroscopy to study the correlations between nuclei of the same type within a molecule. It provides information about scalar couplings between adjacent nuclei, which helps determine connectivity and structural information. There are several COSY variants, each with its unique strengths and experimental parameters.
COSY90 is the standard two-dimensional (2D) COSY experiment that...
Phase Contrast and Differential Interference Contrast Microscopy01:26

Phase Contrast and Differential Interference Contrast Microscopy

Phase-Contrast Microscopes
In-phase-contrast microscopes, interference between light directly passing through a cell and light refracted by cellular components is used to create high-contrast, high-resolution images without staining. It is the oldest and simplest type of microscope that creates an image by altering the wavelengths of light rays passing through the specimen. Altered wavelength paths are created using an annular stop in the condenser. The annular stop produces a hollow cone of...
¹H NMR: Interpreting Distorted and Overlapping Signals01:02

¹H NMR: Interpreting Distorted and Overlapping Signals

Spin systems where the difference in chemical shifts of the coupled nuclei is greater than ten times J are called first-order spin systems. These nuclei are weakly coupled, and their chemical shifts and coupling constant can generally be estimated from the well-separated signals in the spectrum.
As Δν decreases and the signals move closer, the doublets appear increasingly distorted. The intensities of the inner lines increase at the cost of those of the outer lines as the signals are slanted or...
2D NMR: Heteronuclear Single-Quantum Correlation Spectroscopy (HSQC)01:19

2D NMR: Heteronuclear Single-Quantum Correlation Spectroscopy (HSQC)

Heteronuclear single-quantum correlation spectroscopy (HSQC) is a 2D NMR technique that reveals one-bond correlations between hydrogen and a heteronucleus. The HSQC experiment is similar to the heteronuclear correlation experiment (HETCOR) but is more sensitive. In the HSQC spectrum, the proton chemical shift is plotted on the horizontal F2 axis, while the 13C chemical shift is plotted on the vertical F1 axis. The corresponding proton and 13C spectra are also shown. The HSQC contour plot does...

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Related Experiment Video

Updated: Jun 10, 2026

Shaping the Amplitude and Phase of Laser Beams by Using a Phase-only Spatial Light Modulator
08:39

Shaping the Amplitude and Phase of Laser Beams by Using a Phase-only Spatial Light Modulator

Published on: January 28, 2019

Optical binary phase-only filters for circular harmonic correlations.

L Leclerc, Y Sheng, H H Arsenault

    Applied Optics
    |August 19, 2010
    PubMed
    Summary
    This summary is machine-generated.

    This study introduces a single-filter method for rotation-invariant phase-only circular harmonic correlation. Binary filters [1, -1] and [1, 0] with a spatial frequency carrier effectively mimic continuous phase-only filters.

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    Area of Science:

    • Optics
    • Image Processing
    • Digital Holography

    Background:

    • Previous work utilized successive binary filters for rotation-invariant correlation.
    • Conventional holographic filters can have representation errors and high space-bandwidth requirements.

    Purpose of the Study:

    • To present an alternative single-filter method for rotation-invariant phase-only circular harmonic correlation.
    • To demonstrate the effectiveness of binary filters [1, -1] and [1, 0] with a spatial frequency carrier.

    Main Methods:

    • Theoretical analysis of filter performance.
    • Optical and computer simulations.
    • Implementation using binary phase-only filters and binary filters with a spatial frequency carrier.

    Main Results:

    • The proposed binary filters [1, -1] and [1, 0] with a spatial frequency carrier yield the impulse response of a continuous phase-only filter.
    • These binary filters eliminate representation-related errors inherent in conventional holographic filters.
    • The method requires a minimum space-bandwidth product and is suitable for spatial light modulator implementation.

    Conclusions:

    • A single-filter approach using binary filters with a spatial frequency carrier offers an efficient alternative for rotation-invariant phase-only circular harmonic correlation.
    • This method provides advantages in terms of accuracy, efficiency, and implementability compared to traditional holographic filters.