微球内部电磁场的Mie理论数值计算

采用Mie散射理论对平行光束与微球颗粒相互作用的内部场进行严格的描述并进行数值计算.对吸收性微球颗粒内部场进行数值计算时,如果粒径及折射率虚部较大,其径向函数会出现数据溢出,从而导致计算失败,得出不合理的计算结果.通过引进径向函数的变形,提出了一种克服数据溢出的算法,将径向函数的数值控制在合适的范围以内.通过数值计算得到了合理的结果,证明该算法克服了数据溢出,可以稳定地计算各种平行光照射下的微球颗粒内部场.

Numerical Calculation of the Electromagnetic Field Inside the Microsphere with Mie Theory

The classical Mie theory was used to exactly describe the field inside the sphere in the interaction between the parallel beams and microsphere particles.If the particle size and the imaginary part of the refractive index are large,The data overflow by the calculation of radial function for an absorbing microsphere particle will appear,which leads to the failure of the calculation,and the unreasonable results are obtained.In order to overcome the overflow,an algorithm was proposed by introducing modified radial functions so as to keep their values in an appropriate range.Numerical calculations were conducted and reasonable results were obtained.The results demonstrate that the algorithm can overcome the data overflow successfully,and it can also be used to calculate any internal field of microsphere particles interacting with various parallel optical beams.