Author(s)

Hongyun Wang¹, Wesley A. Burgei², Hong Zhou^3*

¹Department of Applied Mathematics University of California, Santa Cruz, USA.
²U.S. Department of Defense Joint Intermediate Force Capabilities Office, Quantico, USA.
³Department of Applied Mathematics Naval Postgraduate School, Monterey, USA.

We study the thermal effect on skin exposed to an electromagnetic beam of time-dependent power. We consider two types of beam power time schedules. In the controlled temperature exposure, the skin surface temperature is increased quickly to a prescribed level using a high beam power; then the surface temperature is maintained at the prescribed level by adjusting the beam power adaptively. In the constant power exposure, the applied beam power is relatively low and stays unchanged over the time. We start both types of exposures at the same time and compare their internal temperatures of skin when they have the same surface temperature. In a non-dimensionalized formulation, we show that at the moment when both exposure types reach the same prescribed surface temperature level, the controlled temperature exposure has a higher internal temperature at all depths. This conclusion is mathematically rigorous and is independent of skin material properties.

Electromagnetic Beam of Time-Varying Power, Control of Surface Temperature, Thermal Effect of Beam, Non-Dimensional Analysis

Wang, H. , Burgei, W. and Zhou, H. (2021) Internal Temperature of Skin when Surface Temperature Is Controlled with an Electromagnetic Beam. Journal of Applied Mathematics and Physics, 9, 427-440. doi: 10.4236/jamp.2021.93030.