Does the Magnetic Field Affect the Dielectric Constant in the Lorentz Model?

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Discussion Overview

The discussion centers on whether the magnetic field influences the dielectric constant in the Lorentz model, particularly in the context of electromagnetic waves. The scope includes theoretical considerations and the implications of the Lorentz model on dielectric properties.

Discussion Character

  • Exploratory, Technical explanation, Conceptual clarification

Main Points Raised

  • One participant suggests that the magnetic field is not considered in the calculation of the dielectric constant within the Lorentz model, as it is not coupled with the oscillators.
  • Another participant argues that the magnetic field is typically too weak in electromagnetic wave situations, noting that the Lorentz force due to the electric field is much greater than that due to the magnetic field at room temperature.
  • A different perspective is introduced, stating that while the magnetic field may be weak, the time variation of the magnetic field can be comparable to the electric field, but this effect is often negligible in visible optics due to the larger wavelength of the electric field compared to atomic scales.

Areas of Agreement / Disagreement

Participants express differing views on the relevance of the magnetic field in the context of the dielectric constant, with no consensus reached on its overall impact in the Lorentz model.

Contextual Notes

The discussion highlights limitations related to the assumptions made about the strength of the magnetic field and its temporal variations, as well as the specific conditions under which these effects may or may not be significant.

bahaar
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Hi
I read in text for calculation dielectric constant in Lorentz model, we only regard electric field that coupled with each oscillator. So the magnetic field of input wave has no effect in calculation of dielectric constant in this model?
 
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Hi bahaar, the reason we don't consider magnetic field is because it is too weak in EM wave situation. E/B=c which is speed of light. Lorentz force qE is much greater than qvB, because v is not high enough in room temperature. But in high energy particle field, magnetic field does matter.

-Zephyron
 
That's not the only reason. While B itself may be weak, the change of B with t \partial B/\partial t=\rot E may be comparable to the electric field itself. However in the case of visible optics, the wavelength over which the electric field changes is much larger than the size of atoms or molecules, so that this effect is usually negligible, too. However it explains e.g. phenomena like optical activity.
 
Thanks both of you.:smile:
 

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