Improved Method for the Retrieval of Extinction Coefficient Profile by Regularization Techniques

In this work, we revise the retrieval of extinction coefficient profiles from Raman Lidar. This is an ill-posed problem, and we show that methods like Levenberg–Marquardt or Tikhonov–Phillips can be applied. We test these methods for a synthetic Lidar profile (known solution) with different noise re...

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Published in:Remote Sensing
Main Authors: Richard Matthias Herrmann, Christoph Ritter, Christine Böckmann, Sandra Graßl
Format: Text
Language:English
Published: Multidisciplinary Digital Publishing Institute 2025
Subjects:
Online Access:https://doi.org/10.3390/rs17050841
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author Richard Matthias Herrmann
Christoph Ritter
Christine Böckmann
Sandra Graßl
author_facet Richard Matthias Herrmann
Christoph Ritter
Christine Böckmann
Sandra Graßl
author_sort Richard Matthias Herrmann
collection MDPI Open Access Publishing
container_issue 5
container_start_page 841
container_title Remote Sensing
container_volume 17
description In this work, we revise the retrieval of extinction coefficient profiles from Raman Lidar. This is an ill-posed problem, and we show that methods like Levenberg–Marquardt or Tikhonov–Phillips can be applied. We test these methods for a synthetic Lidar profile (known solution) with different noise realizations. Further, we apply these methods to three different cases of data from the Arctic: under daylight (Arctic Haze), under daylight with a high and vertically extended aerosol layer, and at nighttime with high extinction. We show that our methods work and allow a trustful derivation of extinction up to clearly higher altitudes (at about half a signal-to-noise ratio) compared with the traditional, non-regularized Ansmann solution. However, these new methods are not trivial and require a choice of parameters, which depend on the noise of the data. As the Lidar signal quality quickly decreases with range, a separation of the profile into several sub-intervals seems beneficial.
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spelling ftmdpi:oai:mdpi.com:/2072-4292/17/5/841/ 2025-03-30T15:03:23+00:00 Improved Method for the Retrieval of Extinction Coefficient Profile by Regularization Techniques Richard Matthias Herrmann Christoph Ritter Christine Böckmann Sandra Graßl agris 2025-02-27 application/pdf https://doi.org/10.3390/rs17050841 eng eng Multidisciplinary Digital Publishing Institute https://dx.doi.org/10.3390/rs17050841 https://creativecommons.org/licenses/by/4.0/ Remote Sensing Volume 17 Issue 5 Pages: 841 Raman Lidar aerosols extinction coefficient profile retrieval regularization Text 2025 ftmdpi https://doi.org/10.3390/rs17050841 2025-03-03T15:30:51Z In this work, we revise the retrieval of extinction coefficient profiles from Raman Lidar. This is an ill-posed problem, and we show that methods like Levenberg–Marquardt or Tikhonov–Phillips can be applied. We test these methods for a synthetic Lidar profile (known solution) with different noise realizations. Further, we apply these methods to three different cases of data from the Arctic: under daylight (Arctic Haze), under daylight with a high and vertically extended aerosol layer, and at nighttime with high extinction. We show that our methods work and allow a trustful derivation of extinction up to clearly higher altitudes (at about half a signal-to-noise ratio) compared with the traditional, non-regularized Ansmann solution. However, these new methods are not trivial and require a choice of parameters, which depend on the noise of the data. As the Lidar signal quality quickly decreases with range, a separation of the profile into several sub-intervals seems beneficial. Text Arctic MDPI Open Access Publishing Arctic Remote Sensing 17 5 841
spellingShingle Raman Lidar
aerosols
extinction coefficient profile
retrieval
regularization
Richard Matthias Herrmann
Christoph Ritter
Christine Böckmann
Sandra Graßl
Improved Method for the Retrieval of Extinction Coefficient Profile by Regularization Techniques
title Improved Method for the Retrieval of Extinction Coefficient Profile by Regularization Techniques
title_full Improved Method for the Retrieval of Extinction Coefficient Profile by Regularization Techniques
title_fullStr Improved Method for the Retrieval of Extinction Coefficient Profile by Regularization Techniques
title_full_unstemmed Improved Method for the Retrieval of Extinction Coefficient Profile by Regularization Techniques
title_short Improved Method for the Retrieval of Extinction Coefficient Profile by Regularization Techniques
title_sort improved method for the retrieval of extinction coefficient profile by regularization techniques
topic Raman Lidar
aerosols
extinction coefficient profile
retrieval
regularization
topic_facet Raman Lidar
aerosols
extinction coefficient profile
retrieval
regularization
url https://doi.org/10.3390/rs17050841