SUGGESTION FOR IMPROVING RESOLUTION BY USING A LASER
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Date
1963
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Ohio State University
Abstract
“A laser seems to offer a means of obtaining a good sin function of a spectrometer. The line width from laser opening in EI single mode is of the order of a few cycles which is essentially a delta function in terms of ordinary slit widths. Since the beam width of a laser output is usually of the order of a few degrees the beam must first be broadened to match the spectrometer. The recordings obtained by the spectrometer are essentially deflections, proportional to intensity, vs distance, along the chart. Let $W(\nu)$ be the measured slit function using the laser, $S(\nu)$ be a measured spectrum and $f(\nu)$ be the true spectrum. We then would have \[ s(\nu) = \int_{-\infty}^{\infty} w(\nu,\nu’)f(\nu’) d\nu’ \] where $W(\nu)$ and $s(\nu)$ are measured functions. By obtaining the appropriate Fourier transforms in reciprocal space $\lambda$ it is possible to solve for $F(\lambda)$, the Fourier transform of $f(\nu)$. The inverse transform of $F(\lambda)$ will then give $f(\nu)$ the true spectrum.”
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Author Institution: Laboratory of Molecular Spetroscopy and Infrared Studies, The Ohio State University