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

Authors: Malka N. Halgamuge, Chathurika D. Abeyratne, Priyan Mendis

Abstract:

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.

Keywords: Cyclotron resonance, electromagnetic fields, particle displacement

Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1078009

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.