In this article, continued fraction improved algorithm was used as a better method. And the recurrence formula scattering coefficient is improved in the form of continued fractions calculation. In this way, the two key functions are recursive forward to solve the Mie scattering coefficient calculation directly in the presence of recursive data overflow problems and avoid the direct calculation of the value of the Bessel function beyond the computer limits the maximum data caused by data overflow problem. For 1.06um laser scattering numerically calculated the scattered light intensity, the scattering and extinction coefficient varies with particle size and refractive index profile parameters. The results showed that the absorption coefficient increases with increasing particle size parameters gradually increased, when after particle size parameter is greater than 10 remained unchanged; scattering coefficient change with particle size parameters periodic ups and downs; the smaller the imaginary part of the refractive index, the greater the scattering coefficient, the absorption coefficient is smaller, it had no effect on the refractive index of the real part of the two coefficients.
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