Effect of Cyclotron Resonance Frequencies in Particles Due to AC and DC Electromagnetic Fields

A fundamental model consisting of charged particles moving in free space exposed to alternating and direct current (ACDC) electromagnetic fields is analyzed. Effects of charged particles initial position and initial velocity to cyclotron resonance frequency are observed. Strong effects are observed revealing that effects of electric and magnetic fields on a charged particle in free space varies with the initial conditions. This indicates the frequency where maximum displacement occur can be changed. At this frequency the amplitude of oscillation of the particle displacement becomes unbounded.




References:
[1] A. R. Liboff, The charge-to-mass ICR signature in weak ELF bioelectromagnetic
effects, ser. Advances in Electromagnetic Fields in Living
System. Springer, 2005, vol. 4, ch. 6.
[2] C. F. Blackman, S. G. Benane, J. Rabinowitz, and D. E. H. W. Joines,
"A role of the magnetic field in the radiation induced efflux of calcium
ions from brain tissue in vitro," Bioelectromagnetics, vol. 6, no. 4, pp.
327-337, 1985.
[3] C. F. Blackman, , S. G. Benane, D. E. House, and W. Joines, "Effects
of elf (1-120 hz) and modulated (50 hz) field on the efflux of calcium
ions from brain tissue in vitro," Bioelectromagnetics, vol. 6, no. 1, pp.
1-11, 1985.
[4] B. McLeod and A. Liboff, "Dynamic characteristics of membrane ions
in multifield configurations of low-frequency electromagnetic radiation,"
Bioelectromagnetics, vol. 7, p. 177, 1986.
[5] M. N. Halgamuge, B. R. R. Perssont, L. G. Salford, P. Mendis and
J. L. Eberhardt, "Comparison between Two Models for Interactions between
Electrical and Magnetic Fields and Proteins in Cell Membranes",
(submitted).
[6] V. V. Lednev, "Possible mechanism for the influence of weak magnetic
fields on biological systems," Bioelectromagnetics, vol. 12, pp. 71-75,
1991.
[7] D. T. Edmonds, "Larmor precession as a mechanism for elf effects tuned
by static magnetic field," in Proc. of E.B.E.A. Conf., 1992, pp. 7-11.
[8] R. K. Adair, "Criticism of Lednev-s mechanism for the influence of weak
magnetic fields on biological systems," Bioelectromagnetics, no. 13, pp.
231-235, 1992.
[9] S. Engstr¨om, "Dynamic properties of Lednev-s parametric resonance
mechanism," Bioelectromagnetics, vol. 17, pp. 58-70, 1996.
[10] J. P. Blanchard and C. F. Blackman, "Clarification and application of
an ion parametric resonance model for magnetic field interactions with
biological systems," Bioelectromagnetics, vol. 15, pp. 217-238, 1994.
[11] C. L. M. Baur'eus, M. Sommarin, R. R. R. Persson, L. G. Salford,
and J. L. Eberhardt, "Interaction between weak low frequency magnetic
fields and cell membranes," Bioelectromagnetics, vol. 24, no. 6, pp.
395-402, 2003.
[12] V. V. Lednev, Modelling of geophysical processis. (in Russian), 2003,
pp. 130-136.
[13] C. J. Thompson, K. M. Briggs, P. Farrell, A. Fleming, B. Hocking,
K. Joyner, V. Anderson, and A. W. Wood, "Nonlinear dynamics
of charged particles interacting with combined ac-dc electromagnetic
fields," Physica A, pp. 471-484, 1995.