Sentence examples for by the diffusion approximation from inspiring English sources

Collected diffuse reflectance intensities can be described analytically by the diffusion approximation to the radiative transport equation, which allows estimation of both μ ′ s and the absorption coefficient (μ a ) [ 18, 25].

The earlier paper by Jensen et al. on subsurface scattering compute the contribution from multiple scattering by sampling the irradiance at the material surface and evaluating the diffusion approximation – in effect convolving the reflectance profile predicted by the diffusion approximation with the incident illumination.

The steady-state behavior is dominated by weak selection and is thus adequately described by the diffusion approximation, which guarantees universality of the steady-state formula and its applicability to the problem of reconstructing fitness landscapes from DNA or protein sequence data.

For that reason, one often replaces the RTE by the diffusion approximation (DA) [ 1– 4].

NIRS is able to determine μa by the diffusion approximation or changes in μa by the modified law of Lambert and Beer if the optical path length and geometrical properties are known.

The propagation of light in highly scattering media, e.g. in biological tissue, is typically modeled by the diffusion approximation [ 7], which serves as a first order approximation to the radiative transport equation.

Finally, by using the diffusion approximation, the Rosseland mean extinction coefficients and radiative thermal conductivities were obtained for various temperatures.

We illustrate this by using the diffusion approximation to explore the effects of noise on neural pattern formation in a spatially structured network.

The development of the model is based on MC simulations results and thus it is not restricted by the limitations of the diffusion approximation.

The photon transport, at both the excitation and emission wavelengths, is described in the diffusion approximation [ 27] by the diffusive Green function for the slab geometry G r, t) computed using the method of images [ 28].

For example, it is straightforward to extend the underlying model to include, e.g., inhomogeneous material properties or to replace the diffusion approximation by a more complicated model such as the radiative transfer equation.