Quantification of Global Cloud Properties With Use of Spherical Harmonic Functions

Abstract Spherical harmonic (SH) expansion is a useful tool to study any variable that has valid values at all latitudes and longitudes. The variable can be quantified as a sum of different spherical harmonic components, which are the spherical harmonic functions multiplied by their expansion coeffi...

Full description

Bibliographic Details
Main Authors: Jiachen Ding, Ping Yang, Lifan Wang, Elaine Oran, Norman G. Loeb, William L. Smith Jr., Patrick Minnis
Format: Article
Language:English
Published: American Geophysical Union (AGU) 2023-03-01
Series:Earth and Space Science
Subjects:
Online Access:https://doi.org/10.1029/2022EA002718
_version_ 1797857353154953216
author Jiachen Ding
Ping Yang
Lifan Wang
Elaine Oran
Norman G. Loeb
William L. Smith Jr.
Patrick Minnis
author_facet Jiachen Ding
Ping Yang
Lifan Wang
Elaine Oran
Norman G. Loeb
William L. Smith Jr.
Patrick Minnis
author_sort Jiachen Ding
collection DOAJ
description Abstract Spherical harmonic (SH) expansion is a useful tool to study any variable that has valid values at all latitudes and longitudes. The variable can be quantified as a sum of different spherical harmonic components, which are the spherical harmonic functions multiplied by their expansion coefficients. We find that the SH components of cloud radiative effect (CRE) have correlations with El Niño‐Southern Oscillation (ENSO) and the Hadley Circulation (HC). In particular, the expansion degree 2 (l=2 $l=2$) SH power spectrum component anomaly of CRE is strongly correlated with ENSO. The two dipole patterns appearing in the l=2 $l=2$ SH component anomaly map can be reasonably explained by a known mechanism of ENSO's impact on cloud properties. The l=3 $l=3$ and l=5 $l=5$ SH power spectrum components are correlated with HC intensity, whereas the l=6 $l=6$ and l=8 $l=8$ components are correlated with HC latitudinal widths. In ENSO warm and cold phases, the HC‐correlated SH components have opposite anomalies, which suggests the impact of ENSO on HC. This study illustrates that the SH expansion technique provides a different perspective to study the impacts of large‐scale atmospheric circulation on global cloud properties and radiative effects.
first_indexed 2024-04-09T20:56:23Z
format Article
id doaj.art-6880c85036c8407099e262e44fe37994
institution Directory Open Access Journal
issn 2333-5084
language English
last_indexed 2024-04-09T20:56:23Z
publishDate 2023-03-01
publisher American Geophysical Union (AGU)
record_format Article
series Earth and Space Science
spelling doaj.art-6880c85036c8407099e262e44fe379942023-03-29T19:08:34ZengAmerican Geophysical Union (AGU)Earth and Space Science2333-50842023-03-01103n/an/a10.1029/2022EA002718Quantification of Global Cloud Properties With Use of Spherical Harmonic FunctionsJiachen Ding0Ping Yang1Lifan Wang2Elaine Oran3Norman G. Loeb4William L. Smith Jr.5Patrick Minnis6Department of Atmospheric Sciences Texas A&M University College Station TX USADepartment of Atmospheric Sciences Texas A&M University College Station TX USADepartment of Physics & Astronomy Texas A&M University College Station TX USADepartment of Aerospace Engineering Texas A&M University College Station TX USANASA Langley Research Center Hampton VA USANASA Langley Research Center Hampton VA USANASA Langley Research Center Hampton VA USAAbstract Spherical harmonic (SH) expansion is a useful tool to study any variable that has valid values at all latitudes and longitudes. The variable can be quantified as a sum of different spherical harmonic components, which are the spherical harmonic functions multiplied by their expansion coefficients. We find that the SH components of cloud radiative effect (CRE) have correlations with El Niño‐Southern Oscillation (ENSO) and the Hadley Circulation (HC). In particular, the expansion degree 2 (l=2 $l=2$) SH power spectrum component anomaly of CRE is strongly correlated with ENSO. The two dipole patterns appearing in the l=2 $l=2$ SH component anomaly map can be reasonably explained by a known mechanism of ENSO's impact on cloud properties. The l=3 $l=3$ and l=5 $l=5$ SH power spectrum components are correlated with HC intensity, whereas the l=6 $l=6$ and l=8 $l=8$ components are correlated with HC latitudinal widths. In ENSO warm and cold phases, the HC‐correlated SH components have opposite anomalies, which suggests the impact of ENSO on HC. This study illustrates that the SH expansion technique provides a different perspective to study the impacts of large‐scale atmospheric circulation on global cloud properties and radiative effects.https://doi.org/10.1029/2022EA002718spherical harmonic functionscloudradiative transfercloud radiative effect
spellingShingle Jiachen Ding
Ping Yang
Lifan Wang
Elaine Oran
Norman G. Loeb
William L. Smith Jr.
Patrick Minnis
Quantification of Global Cloud Properties With Use of Spherical Harmonic Functions
Earth and Space Science
spherical harmonic functions
cloud
radiative transfer
cloud radiative effect
title Quantification of Global Cloud Properties With Use of Spherical Harmonic Functions
title_full Quantification of Global Cloud Properties With Use of Spherical Harmonic Functions
title_fullStr Quantification of Global Cloud Properties With Use of Spherical Harmonic Functions
title_full_unstemmed Quantification of Global Cloud Properties With Use of Spherical Harmonic Functions
title_short Quantification of Global Cloud Properties With Use of Spherical Harmonic Functions
title_sort quantification of global cloud properties with use of spherical harmonic functions
topic spherical harmonic functions
cloud
radiative transfer
cloud radiative effect
url https://doi.org/10.1029/2022EA002718
work_keys_str_mv AT jiachending quantificationofglobalcloudpropertieswithuseofsphericalharmonicfunctions
AT pingyang quantificationofglobalcloudpropertieswithuseofsphericalharmonicfunctions
AT lifanwang quantificationofglobalcloudpropertieswithuseofsphericalharmonicfunctions
AT elaineoran quantificationofglobalcloudpropertieswithuseofsphericalharmonicfunctions
AT normangloeb quantificationofglobalcloudpropertieswithuseofsphericalharmonicfunctions
AT williamlsmithjr quantificationofglobalcloudpropertieswithuseofsphericalharmonicfunctions
AT patrickminnis quantificationofglobalcloudpropertieswithuseofsphericalharmonicfunctions