Gaussian beam representation of aperture fields in layered, lossy media: simulation and experiment

Gaussian Beam Modeling of Sar Enhancement in Paraxial and Non-Paraxial Regions of Biological Tissues

“…It has been proven experimentally that the GBM is accurate and has focusing capabilities in lossy media, contrary to established theory pertaining to Gaussian beams in free space [10][11][12]. This is because the limitations imposed by free space do not exist in lossy media, where the high spatial frequencies are damped out, leaving a smooth distribution which can be verified experimentally [2][3][4]. Furthermore, it has been demonstrated in [2] that the GBM is the exact solution to the parabolic partial differential equation -PPDE (or Schrödinger-type equation), discussed in Section 2 and illustrated schematically in Fig.…”

“…1. Some of the published literature on GBM-simulated results is available for the SMA Co. horn antenna [3,4,13] and for the current sheet applicator (CSA) [5,14,15], both shown in Fig. 2.…”

“…• Simplicity of application (a few seconds of CPU real time) to treatment planning of superficial tumors for both single-element and multi-element phased arrays applied to homogeneous and layered media [4].…”

“…• Flexibility in modeling positional shifts, orientation, amplitude variations, inter-element spacing for optimal SAR (specific absorption rates), inter-element field coupling, and SAR focusing at tumor targets [2,4,5].…”

“…The entire system is modeled by the GBM using electric field measurements from a liquid muscle-like phantom. Any other model which precludes the fields in the aperture-bolus-air-phantom interfaces is apt to err [2][3][4].…”