1College of Information and Communication Engineering, Harbin Engineering University, Harbin 150001 2College of Measurement-Control Tech and Communications Engineering, Harbin University of Science and Technology, Harbin 150040
Recurrence Formulas for the Mie Series
SUN Ji-Yu1,2**, XIE Hong1
1College of Information and Communication Engineering, Harbin Engineering University, Harbin 150001 2College of Measurement-Control Tech and Communications Engineering, Harbin University of Science and Technology, Harbin 150040
摘要The Mie series has very important applications in electromagnetics (including optics). We employ a formulation for the Mie series which relies more on the derivatives of Legendre polynomials than Bessel functions. Recurrence formulas for derivatives related to Legendre polynomials are derived to realize the Mie series conveniently and to avoid treating special angles.
Abstract：The Mie series has very important applications in electromagnetics (including optics). We employ a formulation for the Mie series which relies more on the derivatives of Legendre polynomials than Bessel functions. Recurrence formulas for derivatives related to Legendre polynomials are derived to realize the Mie series conveniently and to avoid treating special angles.
SUN Ji-Yu;**;XIE Hong
. Recurrence Formulas for the Mie Series[J]. 中国物理快报, 2011, 28(10): 104214-104214.
SUN Ji-Yu, **, XIE Hong
. Recurrence Formulas for the Mie Series. Chin. Phys. Lett., 2011, 28(10): 104214-104214.
[1] Mie G 1908 Ann. Phys. 330 377
[2] van de Hulst H C 1981 Light Scattering by Small Particles (New York: Courier Dover Publications)
[3] Dave J V 1970 Appl. Opt. 9 1888
[4] Du H 2004 Appl. Opt. 43 1951
[5] Wiscombe W J 1980 Appl. Opt. 19 1505
[6] Arias-Gonzalez J R and Nieto-Vesperinas M 2000 Opt. Lett. 25 782
[7] Wang Z B, Lukyanchuk B S, Hong M H, Lin Y and Chong T C 2004 Phys. Rev. B 70 035418
[8] Bohren C F 1983 Am. J. Phys. 51 323
[9] Bohren C F 1987 J. Opt. Soc. Am. A 4 612
[10] Monk P 2003 Finite Element Methods for Maxwell's Equations (Oxford: Oxford University)
[11] Abramowitz M and Stegun I 1965 Handbook of Mathematical Functions (New York: Courier Dover Publications)
2011, Vol. 28 
