Moderate Problems

We expect that moderate problems can be solved by advanced computational bioelectromagnetic methods on powerful machines. Although more difficult than the basic problems in the benchmark, we expect a significant number of computational methods/tools will be able to solve these problems with acceptable accuracy and computational costs.

2. Body-Sized Spheroid

Problem 2 requires the solution of scattering from a homogeneous and a 3-layered body-sized spheroid; its semi-minor and semi-major axes are of lengths a = 172 mm and c = 880 mm. The spheroid’s axis of revolution is aligned with the z-axis.

2a. Homogeneous Body-Sized Spheroid

Solve the scattering problem and find these quantities of interest when the spheroid, whose outer boundaries are at {a, c} = {172, 880} mm, is filled homogeneously with the (frequency-dependent) equivalent material from [7] and is illuminated by these impressed sources.

	402 MHz		900 MHz		2.45 GHz
	$\epsr$	$\sigma$ (S/m)	$\epsr$	$\sigma$ (S/m)	$\epsr$	$\sigma$ (S/m)
Equivalent Material	44.724	0.87	41.5	0.97	39.2	1.80

2b. 3-Layered Body-Sized Spheroid

3-layered body-sized spheroid: Solve the scattering problem and find these quantities of interest when the spheroid is piece-wise homogeneous and is illuminated by these impressed sources. The spheroid is composed of skin (dry), muscle, bone average (mean of bone cortical and bone marrow) layers, whose outer boundaries are at {a, c} = {172, 880} mm, {125, 872} mm, and {42, 864} mm, respectively. The frequency-dependent material parameters for these tissues are obtained from [6]:

	402 MHz		900 MHz		2.45 GHz
	$\epsr$	$\sigma$ (S/m)	$\epsr$	$\sigma$ (S/m)	$\epsr$	$\sigma$ (S/m)
Skin Dry	46.741	0.68892	41.405	0.86674	38.007	1.464
Muscle	57.112	0.79682	55.032	0.94294	52.729	1.7388
Bone Average	9.40725	0.0604105	8.97915	0.091759	8.33895	0.2446735