in using rayleigh scattering theory to calculate the polarizability of particles of arbitrary forms with sizes smaller than the wavelength, my text entitled "light scattering by small particles" by van de hulst states(adsbygoogle = window.adsbygoogle || []).push({});

"[tex] {|\alpha|}^{2}[/tex] is defined by [tex]{|\alpha|}^{2} = {l}^{2} {|\alpha_1|}^{2} + {m}^{2} {|\alpha_2|}^{2} + {n}^{2} {|\alpha_3|}^{2} [/tex] and l,m, n are thedirection cosinesof [tex]E_0[/tex] with respect to the three main axes of the polarizability tensor.

THe directions appearing in this problem must be clearly distinguished. The value of [tex] |\alpha|[/tex] is determined by the orientation of [tex]E_0[/tex] with respect to the particle; the direction of propagation of the incident light is irrelevant. "

my question: what aredirection cosines? (if you know a better way of calculating polarizability, please let me know!)

thanks guys.

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# Some Math polarizability

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