扰动Robin边界条件的光子扩散方程的Born级数
Born series for the photon diffusion equation perturbing the Robin boundary condition
摘要:
光子扩散方程的求解利用玻恩级数的罗宾边界条件。我们发展了一个一般性的理论,任意域的光滑边界,并探讨收敛性。通过三维半空间的数值计算验证了所提出的Born级数的有效性。结果表明,在这种情况下,玻恩级数收敛,而不管罗宾边界条件中的阻抗项的值。
英文摘要:
The photon diffusion equation is solved making use of the Born series for the Robin boundary condition. We develop a general theory for arbitrary domains with smooth enough boundaries and explore the convergence. The proposed Born series is validated by numerical calculation in the three-dimensional half space. It is shown that in this case the Born series converges regardless the value of the impedance term in the Robin boundary condition.
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