Abstract
We present a method for calculating multiple scattering of electromagnetic radiation by a collection of sparsely spaced spherical scatterers (SSSS) of Mie-scattering size based on first principles rather than radiative transfer theory. In this respect, our methodology is conceptually similar to the superposition T-matrix method. However, our implementation, which we call the SSSS scheme, differs in a number of respects. Overall, the SSSS scheme is simpler, it is better suited numerically to sparse spacing, and the computer memory required is only linearly dependent on the total number of scatterers. We suggest that the SSSS scheme would be particularly useful for examining the effects of different spatial configurations of drops within water clouds in Earth’s atmosphere and would also be useful in other fields of research in which the exact configuration of a collection of sparsely spaced Mie-sized scatterers is important.
Original language | American English |
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Pages (from-to) | 8563-8577 |
Number of pages | 15 |
Journal | Applied Optics |
Volume | 61 |
Issue number | 29 |
DOIs | |
State | Published - 10 Oct 2022 |
Bibliographical note
Funding Information:Israel Science Foundation (1872/17, 2187/21). The authors thank Michael Kahnert and Daniel Mackowski for helpful discussions regarding MSTM, Tamás Várnai for helpful discussions regarding simulations of 3D radiative transfer with the I3RC online simulator (results not shown here), Maxim Yurkin for the suggestion to compare the full scattering results to single scattering, as well as overall comments on the manuscript, and three anonymous reviewers for their very constructive comments. The authors also thank Haim-Zvi Krugliak for assistance with the computer cluster and Yuri Feldman for co-advising IC on his master’s thesis, on which this manuscript is partially based.
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