1999 Summer Research Program for High School Juniors at the University of Rochester's Laboratory for Laser Energetics Page: 89 of 156
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Aman Narang 11
into the frequency domain:
E(o) = ? E(t) * exp (-i*cot) dt (6)
As shown in Fig. 5 in black. the Fourier Transform of the electric field gives us the individual
Fourier components that describe the spectrum. To simulate the experimental spectrum from these
Fourier components. one must account for the response of the instrument being used to measure the
experimental spectrum.
1
I, +
0.6
0.4
0.2
-1.5 -1.0 -0.5 0.0 0.5 1.0 1.5
-VOIengM(A)
Fig. 5. Fourier components (dotted lines) of the complex electric field in the time domain. The Fourier
components are convolved with the instrument response (heavy vertical line at X 0.0 A) to give the UV
spectrum. The instrument response is quite narrow for a given experimental set-up. It may change if
the experimental layout is adjusted.
When a beam of light with bandwidth is passed through a spectrometer, it breaks up the beam
into all the different frequencies present. The experimental spectrum measured by the spectrometer
describes the intensity of each individual frequency. While simulating the spectrum, one must account
for the way the spectrometer measures a single frequency, which may change drastically based on the
experimental set-up being used to measure the spectrum. For example, if the focussing lens used to
focus the beam into the spectrometer is adjusted slightly, the beam will come to focus at a slightly
different spot inside the spectrometer, thereby changing how the spectrometer measures each fre-
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1999 Summer Research Program for High School Juniors at the University of Rochester's Laboratory for Laser Energetics, report, October 9, 2002; Rochester, New York. (https://digital.library.unt.edu/ark:/67531/metadc715136/m1/89/: accessed April 18, 2024), University of North Texas Libraries, UNT Digital Library, https://digital.library.unt.edu; crediting UNT Libraries Government Documents Department.