Reducing Microwave Absorption with Chaotic Microwaves
We study the response of a two-level quantum system to a chaotic signal using numerical methods and compare it to the response to a sinusoidal signal. We expect the largest response for sinusoidal driving functions, because the Schrödinger equation is linear. The method is based on numerical solutions of the Schrödinger solution of the two-level system, and the chaotic signal used is that of a Chua oscillator. We find that when two-level systems are perturbed by a chaotic signal, the peak population of the initially unpopulated state is much lower than which is produced by a sinusoidal signal of small detuning. This is true even when the peak frequency of the chaotic signal, which is identified via a discrete fourier transform, is close to the resonant frequency. We also find that the response is weaker for a weaker signal, where the resonant peak for a sinusoidal signal would be narrower. We discuss potential applications of this result in the field of microwave power transmission, as it shows applying chaotic forcing functions to transmitted microwaves used for power transmission could decrease unintended absorption of microwaves by organic tissue.
KeywordsPower Transmission Power Transfer Chaotic Signal Peak Population Microwave Transmission
This work was funded in part by the Office of Naval Research grant N00014-14-1-0381 and grant N00014-15-1-2397 and Air Force Research Laboratory grant AF FA9453-14-1-0247.
- 1.L. Xie, Y. Shi, Y.T. Hou, A. Lou, IEEE Wirel. Commun. 20(4), 140 (2013)Google Scholar
- 7.J.C. Reyes-Guerrero, M. Bokenfohr, T. Ciamulski, in WUWNET’14 Proceedings of the International Conference on Underwater Networks & Systems (ACM Press, New York, New York, USA, 2014), pp. 1–2Google Scholar
- 10.V. Gintautas, A.W. Hübler, Chaos: an Interdisciplinary. J. Nonlinear Sci. 18(3), 033118 (2008)Google Scholar
- 21.M. Frasca, A modern review of the two-level approximation (2003)Google Scholar