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Related Concept Videos

IR Spectroscopy: Hooke's Law Approximation of Molecular Vibration01:16

IR Spectroscopy: Hooke's Law Approximation of Molecular Vibration

A covalently bonded heteronuclear diatomic molecule can be modeled as two vibrating masses connected by a spring. The vibrational frequency of the bond can be expressed using an equation derived from Hooke's law, which describes how the force applied to stretch or compress a spring is proportional to the displacement of the spring. In this case, the atoms behave like masses, and the bond acts like a spring.
According to Hooke's law, the vibrational frequency is directly proportional to the...
IR Spectrum Peak Splitting: Symmetric vs Asymmetric Vibrations01:08

IR Spectrum Peak Splitting: Symmetric vs Asymmetric Vibrations

Identical bonds within a polyatomic group can stretch symmetrically (in-phase) or asymmetrically (out-of-phase). Similar to hydrogen bonding, these vibrations also influence the shape of the IR peak. Generally, asymmetric stretching frequencies are higher than symmetric stretching frequencies. For example, primary amines exhibit two distinct IR peaks between 3300–3500 cm−1 corresponding to the symmetric and asymmetric N-H stretching, while secondary amines exhibit a single stretching vibration...
Propagation of Waves01:07

Propagation of Waves

When a wave propagates from one medium to another, part of it may get reflected in the first medium, and part of it may get transmitted to the second medium. In such a case, the interface of the two mediums can be considered as a boundary that is neither fixed nor free.
Consider a scenario where a wave propagates from a string of low linear mass density to a string of high linear mass density. In such a case, the reflected wave is out of phase with respect to the incident wave, however the...
Propagation Speed of Electromagnetic Waves01:30

Propagation Speed of Electromagnetic Waves

Electromagnetic waves are consistent with Ampere's law. Assuming there is no conduction current Ampere's law is given as:
Effective Value of a Periodic Waveform01:07

Effective Value of a Periodic Waveform

The concept of effective value, the root mean square (RMS) value, is crucial in understanding electrical circuits and power delivery. This idea emerges from the necessity to measure the effectiveness of a voltage or current source in supplying power to a resistive load.
The effective value of a periodic current represents the direct current (DC) that conveys the same average power to a resistor as the periodic current itself. This concept is crucial when assessing AC circuits. To determine the...
IR Absorption Frequency: Delocalization01:04

IR Absorption Frequency: Delocalization

Electron delocalization refers to the distribution of electrons across multiple atoms within a molecule rather than being confined to a single atom or bond. This phenomenon is common in systems with conjugated bonds—structures where alternating single and double bonds allow π-electrons to move freely across the network. The movement of electrons stabilizes the molecule and can affect various chemical properties, including vibrational frequencies observed in IR spectroscopy.
In IR spectroscopy,...

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Related Experiment Video

Updated: Jun 22, 2026

Rejection of Fluorescence Background in Resonance and Spontaneous Raman Microspectroscopy
15:04

Rejection of Fluorescence Background in Resonance and Spontaneous Raman Microspectroscopy

Published on: May 18, 2011

Spectral limits for periodic pattern propagation in Kerr media.

N Korneev, E Rodriguez

    Optics Express
    |June 2, 2009
    PubMed
    Summary

    Periodic waves in Kerr media maintain narrow spatial spectra during propagation, regardless of nonlinearity type. Weak nonlinearity preserves strong spectral orders, simplifying analysis via ordinary differential equations.

    Area of Science:

    • Nonlinear optics
    • Wave propagation

    Background:

    • Kerr media exhibit nonlinear optical effects impacting wave propagation.
    • Understanding spectral evolution in nonlinear media is crucial for applications.

    Purpose of the Study:

    • To analyze the spectral evolution of periodic waves in Kerr media.
    • To determine conditions for spectral narrowing during propagation.
    • To investigate the influence of nonlinearity on spectral components.

    Main Methods:

    • Introduction of constants of motion related to order amplitudes.
    • Analysis of wave propagation dynamics in a Kerr medium.
    • Mathematical modeling using coupled ordinary differential equations.

    Main Results:

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    Last Updated: Jun 22, 2026

    Rejection of Fluorescence Background in Resonance and Spontaneous Raman Microspectroscopy
    15:04

    Rejection of Fluorescence Background in Resonance and Spontaneous Raman Microspectroscopy

    Published on: May 18, 2011

    Stimulated Stokes and Antistokes Raman Scattering in Microspherical Whispering Gallery Mode Resonators
    12:21

    Stimulated Stokes and Antistokes Raman Scattering in Microspherical Whispering Gallery Mode Resonators

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    • Spatial spectra remain uniformly narrow during propagation for both self-focusing and self-defocusing Kerr nonlinearities.
    • Initially strong spectral orders persist under conditions of weak nonlinearity.
    • The system's dynamics are shown to be finite-dimensional.

    Conclusions:

    • The spectral behavior of periodic waves in Kerr media is predictable and stable.
    • The finite-dimensional nature simplifies complex propagation problems.
    • The findings support approximation by coupled ordinary differential equations for analysis.