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: Herrmann, Richard Matthias, Ritter, Christoph, Böckmann, Christine, Graßl, Sandra
Format: Article in Journal/Newspaper
Language:unknown
Published: MDPI 2025
Subjects:
Online Access:https://epic.awi.de/id/eprint/60070/
https://doi.org/10.3390/rs17050841
https://hdl.handle.net/10013/epic.6d39ec9c-ad74-44cb-a671-9f573f7029cf
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author Herrmann, Richard Matthias
Ritter, Christoph
Böckmann, Christine
Graßl, Sandra
author_facet Herrmann, Richard Matthias
Ritter, Christoph
Böckmann, Christine
Graßl, Sandra
author_sort Herrmann, Richard Matthias
collection Alfred Wegener Institute for Polar- and Marine Research (AWI): ePIC (electronic Publication Information Center)
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.
format Article in Journal/Newspaper
genre Arctic
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geographic Arctic
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op_doi https://doi.org/10.3390/rs17050841
op_relation https://epic.awi.de/id/eprint/60070/1/remotesensing-17-00841.pdf
Herrmann, R. M. , Ritter, C. orcid:0000-0003-1433-8371 , Böckmann, C. and Graßl, S. orcid:0000-0001-8687-833X (2025) Improved Method for the Retrieval of Extinction Coefficient Profile by Regularization Techniques , Remote Sensing, 17 (5), p. 841 . doi:10.3390/rs17050841 <https://doi.org/10.3390/rs17050841> , hdl:10013/epic.6d39ec9c-ad74-44cb-a671-9f573f7029cf
op_source EPIC3Remote Sensing, MDPI, 17(5), pp. 841-841, ISSN: 2072-4292
publishDate 2025
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spelling ftawi:oai:epic.awi.de:60070 2025-06-08T13:59:11+00:00 Improved Method for the Retrieval of Extinction Coefficient Profile by Regularization Techniques Herrmann, Richard Matthias Ritter, Christoph Böckmann, Christine Graßl, Sandra 2025-02-27 application/pdf https://epic.awi.de/id/eprint/60070/ https://doi.org/10.3390/rs17050841 https://hdl.handle.net/10013/epic.6d39ec9c-ad74-44cb-a671-9f573f7029cf unknown MDPI https://epic.awi.de/id/eprint/60070/1/remotesensing-17-00841.pdf Herrmann, R. M. , Ritter, C. orcid:0000-0003-1433-8371 , Böckmann, C. and Graßl, S. orcid:0000-0001-8687-833X (2025) Improved Method for the Retrieval of Extinction Coefficient Profile by Regularization Techniques , Remote Sensing, 17 (5), p. 841 . doi:10.3390/rs17050841 <https://doi.org/10.3390/rs17050841> , hdl:10013/epic.6d39ec9c-ad74-44cb-a671-9f573f7029cf EPIC3Remote Sensing, MDPI, 17(5), pp. 841-841, ISSN: 2072-4292 Article peerRev 2025 ftawi https://doi.org/10.3390/rs17050841 2025-05-12T03:46:38Z 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. Article in Journal/Newspaper Arctic Alfred Wegener Institute for Polar- and Marine Research (AWI): ePIC (electronic Publication Information Center) Arctic Remote Sensing 17 5 841
spellingShingle Herrmann, Richard Matthias
Ritter, Christoph
Böckmann, Christine
Graßl, Sandra
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
url https://epic.awi.de/id/eprint/60070/
https://doi.org/10.3390/rs17050841
https://hdl.handle.net/10013/epic.6d39ec9c-ad74-44cb-a671-9f573f7029cf