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Fourier transform spectrometry without Fourier analysis of the interferogram

2018/04/13 by Miguel Lagos, Lagos, Miguel, Rodrígo Paredes +3
Computer Science · Decision Sciences · Engineering · #Acoustic Wave Resonator Technologies #FOS: Physical sciences #Instrumentation and Detectors (physics.ins-det) #Optics (physics.optics) #Scientific Measurement and Uncertainty Evaluation #Sensor Technology and Measurement Systems

paper · pdf · doi:10.48550/arxiv.1804.06871

openalex publication_date 2018/04/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

It is shown here that precision is gained by analyzing the interferometric spectra directly from the interferograms, with no previous Fourier transformation to put them in the standard frequency domain. The method is based on the theoretical calculation of the lineshape, which gives a general closed--form expression for the spectrum in the time domain and is directly assimilable to the experimental interferogram. Error sources in Fourier integrals, apodization, peak fitting with standard interpolation functions, choice of background level, Stokes energy shifts, etc., are neatly avoided.

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