International Journal of Theoretical Physics

, Volume 30, Issue 4, pp 531–536 | Cite as

Elliptically polarized fields and responses

  • ZhongJin Yang
  • Jie Yao
  • G. Helgesen


An ellipticaliy polarized field applied to a physical system and related responses are very common in physics. Due to the loss of symmetry, the response problems are very difficult to solve, and are usually described by nonlinear and unseparable equations. By introducing a time transformationτ=(1/ω)tan−1(r tanωt), wherer is the ratio between the two components, one may reset the symmetry of the field. The equation
$$\frac{{d\theta }}{{dt}} = \frac{{\omega r}}{{\cos ^2 \omega t + r^2 \sin ^2 \omega t}} - \omega _{\text{c}} (\cos ^2 \omega t + r^2 \sin ^2 \omega t)\sin {\text{2}}\theta $$
describing the relative angular motion of a magnetic dipole pair in an elliptical magnetic field has been solved with this transformation.


Magnetic Field Field Theory Elementary Particle Quantum Field Theory Physical System 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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Copyright information

© Plenum Publishing Corporation 1991

Authors and Affiliations

  • ZhongJin Yang
    • 1
  • Jie Yao
    • 2
    • 3
  • G. Helgesen
    • 1
  1. 1.Department of PhysicsUniversity of OsloOslo 3Norway
  2. 2.University of OsloOslo 3Norway
  3. 3.International Center for Materials PhysicsAcademia SinicaShenyangChina

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