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Magnetic field contribution to the Lorentz model.

Kurt E Oughstun¹, Richard A Albanese

¹College of Engineering and Mathematical Sciences, University of Vermont, Burlington, Vermont 05405-0156, USA. oughstun@cems.uvm.edu

Journal of the Optical Society of America. A, Optics, Image Science, and Vision

|June 20, 2006

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This study revises the Lorentz model by including magnetic fields, revealing nonlinear dielectric properties. The findings show modified polarizabilities, impacting our understanding of electromagnetic wave interactions.

Area of Science:

Condensed matter physics
Electromagnetism
Materials science

Background:

The classical Lorentz model describes dielectric dispersion using harmonically bound electrons.
It typically neglects the magnetic field component of the Lorentz force due to its small magnitude.

Purpose of the Study:

To investigate the effects of including the magnetic field in the Lorentz force relation.
To analyze the resulting changes in microscopic polarization density and polarizabilities.

Main Methods:

Modified the classical Lorentz model by incorporating the magnetic field term in the Lorentz force equation.
Applied Newton's second law to an ensemble of harmonically bound electrons under the modified force.

Main Results:

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The inclusion of the magnetic field term results in a microscopic polarization density with components parallel and perpendicular to the wave vector.
Both parallel and perpendicular polarizabilities exhibit nonlinear behavior with respect to the local electric field strength.

Conclusions:

The magnetic field component significantly alters the dielectric response predicted by the Lorentz model.
The derived nonlinear polarizabilities offer a more comprehensive description of dielectric dispersion, particularly in strong electric fields.