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software to fit optical spectra - Quantum Materials Group

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∆S ω) ≈ α ( ω)<br />

∆ε<br />

( ω)<br />

+ α ( ω)<br />

∆ε<br />

( ω)<br />

.<br />

Equation 2-23<br />

( 1 1<br />

2 2<br />

Then one can associate an extra (differential) model ε diff (ω)<br />

with ∆ ε and adjust its parameters<br />

in order <strong>to</strong> <strong>fit</strong> ∆ S(ω<br />

) , using Equation 2-23. The error bars of ∆ S(ω<br />

) have <strong>to</strong> be estimated<br />

separately. In the <strong>fit</strong>ting with the differential model, the role of the base model is <strong>to</strong> provide<br />

only the (fixed) derivatives α ( ) and α ( ) .<br />

1 ω<br />

2 ω<br />

Formally, ε diff (ω)<br />

has <strong>to</strong> be treated as a usual dielectric function, because the physical<br />

requirements <strong>to</strong> it are almost the same as the usual requirements <strong>to</strong> the dielectric functions (see<br />

2.2.1). For instance, it is important that ε diff (ω)<br />

satisfies the Kramers-Kronig relation. The<br />

only obvious difference is that ∆ ε 2 can be negative (unlike ε 2 ), and both ∆ ε1<br />

and ∆ ε 2 must<br />

vanish at very high frequencies.<br />

Guide <strong>to</strong> RefFIT Page 24

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