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
describing the relative angular motion of a magnetic dipole pair in an elliptical magnetic field has been solved with this transformation.
This is a preview of subscription content, log in to check access.
Buy single article
Instant access to the full article PDF.
Price includes VAT for USA
Subscribe to journal
Immediate online access to all issues from 2019. Subscription will auto renew annually.
This is the net price. Taxes to be calculated in checkout.
Helgesen, G., Pieranski, P., and Skjeltorp, A. T. (1990).Physical Review Letters,64, 1425.
Kamke, E. (1943).Differentialgleichungen, (Akademische Verlagsgesellschaft Becker & Erler Kom.-GES, Leipzig), pp. 21, 119, 121, and 410.
Wang, Z. X., and Guo, D. R. (1965).Special Functions, Academic Press, Beijing, pp. 680 and 705 [in Chinese] [English translation: World Scientific, London (1989)].
Watson, G. N. (1944).Theory of Bessel Functions, 2nd ed., Cambridge University Press, Cambridge, p. 92.
Whittaker, E. T., and Watson, G. N. (1927).A Course of Modern Analysis, 4th ed., Cambridge University Press, Cambridge, p. 404.
Yang, Z. J., and Yao, J. (1990).International Journal of Theoretical Physics,29, 1111.
About this article
Cite this article
Yang, Z., Yao, J. & Helgesen, G. Elliptically polarized fields and responses. Int J Theor Phys 30, 531–536 (1991). https://doi.org/10.1007/BF00672898
- Magnetic Field
- Field Theory
- Elementary Particle
- Quantum Field Theory
- Physical System