Question: In 1871 Sellmeier derived the equation where the A j terms are constants and each Î» 0j is the vacuum wavelength associated with a natural

In 1871 Sellmeier derived the equation

Ад? r = 1+ ):

where the A_jterms are constants and each Î»_0j is the vacuum wavelength associated with a natural frequency v_0j, such that Î»_0jv_0j= c. This formulation is a considerable practical improvement over the Cauchy Equation. Show that where Î» > > Î»_0j, Cauchy€™s Equation is an approximation of Sellmeier€™s. Write the above expression with only the first term in the sum; expand it by the binomial theorem; take the square root of n² and expand again.

? r = 1+ ):

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