Is Dispersion Present in Expanding Cylindrical Waves of an Infinite Radiator?

AI Thread Summary
An expanding spherical wave of order 0 is considered non-dispersive, while the status of an expanding cylindrical wave of order 0 regarding dispersion is uncertain. Members of the discussion suggest that in a vacuum, radiated waves cannot be dispersive since all wavelengths travel at the same speed. Additionally, non-dispersive behavior requires the absence of wavelength-dependent attenuation, as dispersion and attenuation are interconnected. The conversation highlights the complexities of wave behavior in different geometries and mediums. Understanding these principles is crucial for further exploration of wave propagation.
thadman
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Let us assume we possesses a line radiator. It's extent is infinite and it radiates 360*.

As far as I understand, an expanding spherical wave of order 0 is not dispersive. I assume an expanding cylindrical wave of order 0 would possesses dispersion, however I am not certain.

Could any members offer insight on this?

Best Regards,
Thadman:biggrin:
 
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i don't think any radiated wave can be dispersive in a vacuum, because all wavelengths travel at the same velocity. To be non-dispersive, there can not be any (wavelength dependent) attenuation either, because dispersion and attenuation are coupled through the dispersion relations. See
http://en.wikipedia.org/wiki/Dispersion_relation
Bob S
 

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