What Are Normal and Anomalous Dispersion?

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Normal dispersion occurs when the second derivative of the wave vector (k'') is positive, indicating that shorter wavelengths travel slower than longer wavelengths, typically seen in transparent media within the visible spectrum. Anomalous dispersion, on the other hand, is characterized by a negative k'', where shorter wavelengths travel faster than longer wavelengths. The distinction in sign conventions between ultrafast optics and fiber optics can lead to confusion, as they use different parameters for dispersion. A critical point in this discussion is the zero dispersion wavelength, around 1550 nm, which is significant for optical fibers and communication systems. Understanding these concepts is essential for applications in optics and telecommunications.
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i need to know what r normal and anamolous dispersion?
 
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From website:

http://www.rp-photonics.com/dispersion.html
Normal and Anomalous Dispersion

One distinguishes normal dispersion (for k'' > 0) and anomalous dispersion (for k'' < 0). Normal dispersion usually occurs for transparent media in the visible spectral region. Great care is recommended when the sign of dispersion is specified, because the ultrafast optics community identifies this with the sign of k'', while the opposite sign is usually used in fiber optics, where the dispersion is often specified with the parameter

dispersion of fibers

which is normally given in units of ps/(nm km) (picoseconds per nanometer and kilometer). The different signs result from using a frequency derivative in one case and a wavelength derivative in the other case. Note also that the conversion factor depends on the wavelength.

Between wavelength regions with normal and anomalous dispersion, there is a zero dispersion wavelength. The region around this wavelength can be special in some respects, not only concerning weak dispersive pulse broadening.
 
To summarise Steve's post, normal dispersion occurs where shorter wavelengths travel slower than longer wavelengths. Anomalous dispersion occurs when shorter wavelengths travel faster than longer wavelengths.

The zero dispersion point for optic fibres is around 1550 nm, which is why most communications systems use this wavelength.

Claude.
 
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