Shubitidze Fridon, Osterberg Ulf
Thayer School of Engineering, Dartmouth College, Hanover, New Hampshire 03755-8000, USA.
Phys Rev E Stat Nonlin Soft Matter Phys. 2007 Apr;75(4 Pt 2):046608. doi: 10.1103/PhysRevE.75.046608. Epub 2007 Apr 25.
A general factorized form of the dielectric function together with a fractional model-based parameter estimation method is used to provide an accurate analytical formula for the complex refractive index in water for the frequency range 10(8)-10(16)Hz . The analytical formula is derived using a combination of a microscopic frequency-dependent rational function for adjusting zeros and poles of the dielectric dispersion together with the macroscopic statistical Fermi-Dirac distribution to provide a description of both the real and imaginary parts of the complex permittivity for water. The Fermi-Dirac distribution allows us to model the dramatic reduction in the imaginary part of the permittivity in the visible window of the water spectrum.
介电函数的一般因式分解形式与基于分数模型的参数估计方法一起，用于为频率范围在10(8)-10(16)Hz的水中复折射率提供精确的解析公式。该解析公式是通过将用于调整介电色散零点和极点的微观频率相关有理函数与宏观统计费米-狄拉克分布相结合推导得出的，以描述水的复介电常数的实部和虚部。费米-狄拉克分布使我们能够对水光谱可见窗口中介电常数虚部的急剧下降进行建模。
