https://www.sciencedirect.com/science/article/pii/S0022407326000828

*Authors*: Benjamin Vennes, Thomas C. Preston

*26 February 2026*

https://doi.org/10.1016/j.jqsrt.2026.109888

*Highlights*
•Develops a T-matrix–based method to compute the isotropic upscatter
fraction.

•Quantifies shortwave cooling from non-spherical stratospheric aerosols.

•Uses spheroid and superspheroid shape families in full T-matrix
calculations.

•Shows Bond albedo depends mainly on particle size and refractive index.

•Finds particle shape only weakly alters cooling per mass.

*Abstract*
Stratospheric aerosol injection (SAI) seeks to increase Earth’s planetary
albedo by introducing particles into the lower stratosphere that
efficiently backscatter solar radiation. Most optical optimization studies
have focused on spherical particles, leaving the potential benefits of
non-spherical morphologies largely unexplored. Here, we develop an
analytical Legendre-moment method that uses closed-form expansion
coefficients within the T-matrix framework to efficiently and accurately
evaluate the isotropic upscatter fraction for randomly oriented
non-spherical particles. This is used to quantify how particle shape and
aspect ratio influences the change in Bond albedo, ΔA, within a
single-scattering framework. Orientation-averaged extinction and scattering
cross-sections and phase function moments are computed over the solar
spectrum to obtain ΔA and global-mean radiative forcing per unit mass for
candidate SAI materials (rutile, anatase, α-SiC, diamond, cubic ZrO2, α-Al2O
3, calcite, and sulphate). We systematically explore spheroids with varying
aspect ratio and superspheroids spanning a wide range of
roundness/boxiness. Overall, once volume-equivalent radius and refractive
index are optimized, ΔA is only weakly sensitive to particle morphology.
Therefore, while non-spherical particles can improve ΔA, the resulting
gains are modest at best, and ΔA remains controlled primarily by
volume-equivalent radius and refractive index.

*Source: ScienceDirect *

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