MINIMIZATION OF VOLUME AND ASTIGMATISM OF WHITE-TYPE MULTIPLE REFLECTION ABSORPTION CELLS FOR USE WITH CIRCULAR OR SQUARE APERTURES AND IMAGES
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Date
1984
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Ohio State University
Abstract
The arrangement of Horn and $Pimentel^{1}$ for packing four rows of images on the field (front) mirror of a White-type multiple reflection absorption cell, using a row-stepping mirror pair, has been revised and generalized to allow any even number of rows. The images in the field mirror plane exactly fill a rectangular area. Given a desired throughput (etendue) and total path length, it is shown that for minimum volume two conditions must be met. The first is that the rectangle containing the two back mirrors must have the same area as the image space area, and the second is that the two rectangles have the same height-to-width ratio. Neither condition is extremely critical. Closed form expressions have been derived via geometrical optics for image expansion arising from astigmatism, and it is shown that the effect of astigmatism is minimized if the front mirror rectangle is nearly square.
Description
$^{1}$ D. Horn and G.C. Pimentel, Appl. Opt. 10, 1892 (1971).
Author Institution: Molecular Spectroscopy Division, National Bureau of Standards
Author Institution: Molecular Spectroscopy Division, National Bureau of Standards