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Tellurite And Fluorotellurite Glasses For Active And Passive

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6. Optical properties; MDO 170<br />

In reality the signal consisted of a range of frequencies, therefore the total intensity at the<br />

detector is given by equation (6.5) [3].<br />

~ ~ ~<br />

I ( δ ) = I(<br />

f )( 1+<br />

cos 2πfδ<br />

) df<br />

(6.5)<br />

∫0 ∞<br />

To provide a useful spectrum, the variation in intensity with wavenumber, I( f ~ ),must be<br />

found. This was obtained by a Fourier transform integration step shown by equation (6.6)<br />

[3].<br />

~<br />

1 ~<br />

( f ) = 4 [ I(<br />

δ ) − I(<br />

0)]<br />

cos( 2πfδ<br />

) dδ<br />

(6.6)<br />

0 2<br />

I ∫ ∞<br />

This integration was performed here by the FTIR spectrometer computer, which<br />

displayed the output, I( f ~ ) against f ~ , which formed the spectra of the sample.<br />

The major advantage of the FTIR spectrometer is that all of the radiation detected<br />

from the sample is continuously monitored. Therefore, the FTIR is highly sensitive and<br />

fast compared to spectrometers where a monochromator discards most of the radiation.<br />

The resolution, ∆ f ~ , is defined by equation (6.7) [3].<br />

~ 1<br />

∆f =<br />

(6.7)<br />

2δ<br />

max

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