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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Vol. 13, Iss. 11 — Nov. 1, 1974
  • pp: 2662–2668

Theoretical Comparison of Singly Multiplexed Hadamard Transform Spectrometers and Scanning Spectrometers

N. M. Larson, R. Crosmun, and Y. Talmi  »View Author Affiliations


Applied Optics, Vol. 13, Issue 11, pp. 2662-2668 (1974)
http://dx.doi.org/10.1364/AO.13.002662


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Abstract

We present a general mathematical framework within which the relative performance of singly multiplexed Hadamard transform spectrometers (HTS) and conventional scanning spectrometers (SS) may be compared. The theoretical multiplex advantage (Fellgett advantage) is calculated for spectrometers operating in two spectral regions. For the low energy region, i.e., infrared, the determined multiplex advantage F is (N/2)1/2 (N is the number of slots), in accordance with predictions given by Fellgett. For the high spectral energy region, i.e., uv-vis, F = ( x / 2 x ¯ ) 1 / 2, where x is the intensity of the spectal element sought and x ¯ is the average intensity produced across the whole spectrum. Our predictions are verified by computer simulation of various characteristic spectra. Based on these results, we arrive at some conclusions concerning the practical application of HTS systems.

© 1974 Optical Society of America

History
Original Manuscript: June 21, 1974
Published: November 1, 1974

Citation
N. M. Larson, R. Crosmun, and Y. Talmi, "Theoretical Comparison of Singly Multiplexed Hadamard Transform Spectrometers and Scanning Spectrometers," Appl. Opt. 13, 2662-2668 (1974)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-13-11-2662

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