Shown below is a diagram of a Michelson interferometer and a resulting interferogram produced from a monochromatic source. Explain how the interferometer and Fourier analysis are used in Fourier transform spectroscopy to create an infrared spectrum, by placing the following steps in order. Fixed mirror First Step Some of the radiation is absorbed by the sample Part of the recombined out of phase radation travels back to the source and the other part travels towards the detector Movable mirror A BOCD Radiation transmitted through the sample strikes the detector Radiation from the source hits the beamsplitter and in partially transmitted lo the movable mirror and partially reflected to the fxed mirror Source ? analysis of the interferogram decomposes it into Its component wavelengths or frequencies producing the sample spectrum. Radiation refiects off the movable and fixed mimors and back to the beamspliter Distance, cm Detector An interferogram, plotting the radiation intensity versus retardation (o) is produced The transmission spectrum of the sample is produced by dividing the sample spectrum by the reference spectrum Last Step cm
Solution
1) Radiation from the source hits the beamsplitter and is partially transmitted to the movable mirror and partially reflected to the fixed mirror.
2) Radiation relects off the movable and fixed mirrors and back to the beamsplitter.
3) Part of the recombined out of phase radiation travels back to the source and the other part travels towards the detector.
4) Radiation transmitted through the sample strikes the detector.
5) Some of the radiation is absorbed by the sample.
6) An interferogram, plotting the radiation intensity versus retardation is produced.
7) Fourier analysis of the interferogram decomposes it into its component wavelengths or frequencies, producing the sample spectrum.
8) The transmission spectrum of the sample is produced by dividing the sample spectrum by the reference spectrum.
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Shown below is a diagram of a Michelson interferometer and a resulting.docx
1. Shown below is a diagram of a Michelson interferometer and a resulting interferogram produced
from a monochromatic source. Explain how the interferometer and Fourier analysis are used in
Fourier transform spectroscopy to create an infrared spectrum, by placing the following steps in
order. Fixed mirror First Step Some of the radiation is absorbed by the sample Part of the
recombined out of phase radation travels back to the source and the other part travels towards the
detector Movable mirror A BOCD Radiation transmitted through the sample strikes the detector
Radiation from the source hits the beamsplitter and in partially transmitted lo the movable mirror
and partially reflected to the fxed mirror Source ? analysis of the interferogram decomposes it
into Its component wavelengths or frequencies producing the sample spectrum. Radiation
refiects off the movable and fixed mimors and back to the beamspliter Distance, cm Detector An
interferogram, plotting the radiation intensity versus retardation (o) is produced The transmission
spectrum of the sample is produced by dividing the sample spectrum by the reference spectrum
Last Step cm
Solution
1) Radiation from the source hits the beamsplitter and is partially transmitted to the movable
mirror and partially reflected to the fixed mirror.
2) Radiation relects off the movable and fixed mirrors and back to the beamsplitter.
3) Part of the recombined out of phase radiation travels back to the source and the other part
travels towards the detector.
4) Radiation transmitted through the sample strikes the detector.
5) Some of the radiation is absorbed by the sample.
6) An interferogram, plotting the radiation intensity versus retardation is produced.
7) Fourier analysis of the interferogram decomposes it into its component wavelengths or
frequencies, producing the sample spectrum.
8) The transmission spectrum of the sample is produced by dividing the sample spectrum by the
reference spectrum.
