estimate optimization parameters for incoherent backscatter heterodyne lidar: errata

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Estimate optimization parameters for incoherent backscatter heterodyne lidar: errata Barry J. Rye and R. Michael Hardesty OCIS code: 280.0280. Because of a thoughtless late amendment to our pa- per, 1 the expression P i 5 1y~M 2 1! is used to define a discrete rectangular top-hat function containing M points, and the expressions L k 5 1 2 ky~M 2 1! and W~L! 5 M 2 1 appear, respectively, as its normalized self-convolution function and its equivalent width. These should read P i 5 1yM, L k 5 1 2 kyM, and W~L! 5 M. The consequences are that M 2 1 should be replaced by M in Eq. ~A3!, in the definition of P i following Eq. ~A4!, in the definitions of L k prior to Eq. ~2! and in Eq. ~A4!, and in the calculated value of W~L! following Eq. ~A7!—in short, wherever the ex- pression M 2 1 appears except in Eq. ~13!. There is also a minor misprint in Eq. ~15!, where the denominator in the integrand should be identical to that in Eq. ~6!, with the exponent 2 outside the final parenthesis. The similarity of Eq. ~15! men- tioned in the text is with Eq. ~6! and not with Eq. ~5!. Reference 1. B. J. Rye and R. M. Hardesty, “Estimate optimization param- eters for incoherent backscatter heterodyne lidar,” Appl. Opt. 36, 9425–9436 ~1997!. B. J. Rye is with the Cooperative Institute for Research in En- vironmental Sciences ~University of Colorado and National Oce- anic and Atmospheric Administration!, Environmental Technology Laboratory, 325 Broadway, Boulder, Colorado 80303. R. M. Hardesty is with the National Oceanic and Atmospheric Administration Environmental Technology Laboratory, 325 Broadway, Boulder, Colorado 80303. Received 23 March 1998. 0003-6935y98y184016-01$15.00y0 © 1998 Optical Society of America 4016 APPLIED OPTICS y Vol. 37, No. 18 y 20 June 1998

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Page 1: Estimate Optimization Parameters for Incoherent Backscatter Heterodyne Lidar: Errata

Estimate optimization parametersfor incoherent backscatter heterodyne lidar: errata

Barry J. Rye and R. Michael Hardesty

OCIS code: 280.0280.

Because of a thoughtless late amendment to our pa-per,1 the expression Pi 5 1y~M 2 1! is used to definea discrete rectangular top-hat function containing Mpoints, and the expressions Lk 5 1 2 ky~M 2 1! andW~L! 5 M 2 1 appear, respectively, as its normalizedself-convolution function and its equivalent width.

B. J. Rye is with the Cooperative Institute for Research in En-vironmental Sciences ~University of Colorado and National Oce-anic and Atmospheric Administration!, EnvironmentalTechnology Laboratory, 325 Broadway, Boulder, Colorado 80303.R. M. Hardesty is with the National Oceanic and AtmosphericAdministration Environmental Technology Laboratory, 325Broadway, Boulder, Colorado 80303.

Received 23 March 1998.0003-6935y98y184016-01$15.00y0© 1998 Optical Society of America

4016 APPLIED OPTICS y Vol. 37, No. 18 y 20 June 1998

These should read Pi 5 1yM, Lk 5 1 2 kyM, andW~L! 5 M. The consequences are that M 2 1 shouldbe replaced by M in Eq. ~A3!, in the definition of Pifollowing Eq. ~A4!, in the definitions of Lk prior to Eq.~2! and in Eq. ~A4!, and in the calculated value ofW~L! following Eq. ~A7!—in short, wherever the ex-pression M 2 1 appears except in Eq. ~13!.

There is also a minor misprint in Eq. ~15!, wherethe denominator in the integrand should be identicalto that in Eq. ~6!, with the exponent 2 outside thefinal parenthesis. The similarity of Eq. ~15! men-tioned in the text is with Eq. ~6! and not with Eq. ~5!.

Reference1. B. J. Rye and R. M. Hardesty, “Estimate optimization param-

eters for incoherent backscatter heterodyne lidar,” Appl. Opt.36, 9425–9436 ~1997!.