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mieab_2

PURPOSE ^

Low-frequency approximation of Mie Coeffs. a_n(z), b_n(z), order n=1,2

SYNOPSIS ^

function result = mieab_2(m, x)

DESCRIPTION ^

 Low-frequency approximation of Mie Coeffs. a_n(z), b_n(z), order n=1,2
 complex refractive index m=m'+im", and size parameter x=k0*a<<1, 
 where k0=vacuum wave number, a=sphere radius,
 p. 101, 127, 131 in Bohren and Huffman (1983) BEWI:TDD122
 C. M�zler, May 2002

CROSS-REFERENCE INFORMATION ^

This function calls: This function is called by:

DOWNLOAD ^

mieab_2.m

SOURCE CODE ^

0001 function result = mieab_2(m, x)
0002 
0003 % Low-frequency approximation of Mie Coeffs. a_n(z), b_n(z), order n=1,2
0004 % complex refractive index m=m'+im", and size parameter x=k0*a<<1,
0005 % where k0=vacuum wave number, a=sphere radius,
0006 % p. 101, 127, 131 in Bohren and Huffman (1983) BEWI:TDD122
0007 % C. M�zler, May 2002
0008 
0009 z=m*x;
0010 m2=m*m;
0011 k2=(m2-1)/(m2+2);
0012 x2=x*x; x3=x2*x;
0013 a_n(1)=-i*2*x3*k2*(1/3+x2*(m2-2)/(m2+2)/5)+(2*x3*k2/3)^2;
0014 b_n(1)=-i*x2*x3*(m2-1)/45;
0015 a_n(2)=-i*x2*x3*(m2-1)/(2*m2+3)/15;
0016 b_n(2)=0;
0017 result=[a_n; b_n];

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