Articles | Volume 16, issue 11
https://doi.org/10.5194/amt-16-3015-2023
https://doi.org/10.5194/amt-16-3015-2023
Research article
 | 
15 Jun 2023
Research article |  | 15 Jun 2023

An explicit formulation for the retrieval of the overlap function in an elastic and Raman aerosol lidar

Adolfo Comerón, Constantino Muñoz-Porcar, Alejandro Rodríguez-Gómez, Michaël Sicard, Federico Dios, Cristina Gil-Díaz, Daniel Camilo Fortunato dos Santos Oliveira, and Francesc Rocadenbosch

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Cited articles

Ancellet, G. M., Kavaya, M. J., Menzies, R. T., and Brothers, A. M.: Lidar telescope overlap function and effects of misalignment for unstable resonator transmitter and coherent receiver, Appl. Optics, 25, 2886–2890, https://doi.org/10.1364/AO.25.002886, 1986. 
Ansmann, A., Wandinger, U., Riebesell, M., Weitkamp, C., and Michaelis, W.: Independent measurement of extinction and backscatter profiles in cirrus clouds by using a combined Raman elastic-backscatter lidar, Appl. Optics, 31, 7113–7131, https://doi.org/10.1364/AO.31.007113, 1992. 
Bucholtz, A.: Rayleigh-scattering calculations for the terrestrial atmosphere, Appl. Optics, 34, 2765–2773, https://doi.org/10.1364/ao.34.002765, 1995. 
Comeron, A., Sicard, M., Kumar, D., and Rocadenbosch, F.: Use of a field lens for improving the overlap function of a lidar system employing an optical fiber in the receiver assembly, Appl. Optics, 50, 5538–5544, https://doi.org/10.1364/AO.50.005538, 2011. 
Comerón Tejero, A., Muñoz Porcar, C., Rodríguez Gómez, A. A., Sicard, M., Dios Otín, V. F., Gil Díaz, C., Oliveira, D. C. F. d. S., and Rocadenbosch Burillo, F.: Calibrated signals used for overlap retrievals, Version 1.0, CORA.Repositori de Dades de Recerca [data set], https://doi.org/10.34810/data704, 2023. 
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Short summary
We derive an explicit (i.e., non-iterative) formula for the retrieval of the overlap function in an aerosol lidar with both elastic and Raman N2 and/or O2 channels used for independent measurements of aerosol backscatter and extinction coefficients. The formula requires only the measured, range-corrected elastic and the corresponding Raman signals, plus an assumed lidar ratio. We assess the influence of the lidar ratio error in the overlap function retrieval and present retrieval examples.
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