We examine two papers [Jensen et al. 2001] and [Jensen and Buhler 2002] on rendering the subsurface scattering phenomenon using the diffusion approximation and discuss a possible extension of the method. In particular, we consider relaxing the assumptions of a semi-infinite homogeneous planar media and allowing for thin, highly diffusing materials. Our method, like the previous work, is inspire...

introduction: the human skin is an active medium from the optical point of view. therefore, the diagnostic and therapeutic techniques employing light are increasing. current optical techniques are based on the measurement of the intensity of reflected absorbed or backscattered light from or within skin. studies have shown that biological tissues, and in particular skin, demonstrate polarization...

in this paper, the maximal dissipative extensions of a symmetric singular 1d discrete hamiltonian operator with maximal deficiency indices (2,2) (in limit-circle cases at ±∞) and acting in the hilbert space ℓ_{ω}²(z;c²) (z:={0,±1,±2,...}) are considered. we consider two classes dissipative operators with separated boundary conditions both at -∞ and ∞. for each of these cases we establish a self...

In this paper, the maximal dissipative extensions of a symmetric singular 1D discrete Hamiltonian operator with maximal deficiency indices (2,2) (in limit-circle cases at ±∞) and acting in the Hilbert space ℓ_{Ω}²(Z;C²) (Z:={0,±1,±2,...}) are considered. We consider two classes dissipative operators with separated boundary conditions both at -∞ and ∞. For each of these cases we establish a self...

We consider the use of rational basis functions to compute scattering and inverse transforms associated with AKNS (Ablowitz–Kaup–Newell–Segur) system. The proposed numerical forward transform computes solution system that is valid on entire real axis thereby a reflection coefficient at point by solving single linear makes novel improvement in function approach oscillatory Cauchy operator, enabl...

Introduction: The human skin is an active medium from the optical point of view. Therefore, the diagnostic and therapeutic techniques employing light are increasing. Current optical techniques are based on the measurement of the intensity of reflected absorbed or backscattered light from or within skin. Studies have shown that biological tissues, and in particular skin, demonstrate polarization...