1990
DOI: 10.1364/ao.29.001551
|View full text |Cite
|
Sign up to set email alerts
|

Internal absorption cross sections in a stratified sphere

Abstract: Series expressions for the radially dependent absorption cross section and angle-averaged absorption heat source function within a stratified sphere are presented. A numerically stable and accurate algorithm for computation of the internal radiative properties, as well as the overall scattering and extinction of a stratified sphere having an arbitrary number of layers is developed. The results allow for direct estimation of the degree of penetration and intensity of radiative heating in radially inhomogeneous … Show more

Help me understand this report

Search citation statements

Order By: Relevance

Paper Sections

Select...
2
1
1
1

Citation Types

1
64
0

Year Published

1994
1994
2022
2022

Publication Types

Select...
9

Relationship

0
9

Authors

Journals

citations
Cited by 113 publications
(65 citation statements)
references
References 13 publications
1
64
0
Order By: Relevance
“…Consequently, if the spherical Hankel functions h l (kr) = j l (kr) + iy l (kr) [58], its precision may be drastically compromised. Therefore, it is always recommended to determine h (1) l (kr) by a direct independent recurrence, such as that proposed by Mackowski et al [59] [see recurrences (63), (64) therein]. Otherwise the radiative decay result for the interior of the nanoshell C may differ by up to four-orders of magnitude from the correct one.…”
Section: Numerical Subtletiesmentioning
confidence: 99%
See 1 more Smart Citation
“…Consequently, if the spherical Hankel functions h l (kr) = j l (kr) + iy l (kr) [58], its precision may be drastically compromised. Therefore, it is always recommended to determine h (1) l (kr) by a direct independent recurrence, such as that proposed by Mackowski et al [59] [see recurrences (63), (64) therein]. Otherwise the radiative decay result for the interior of the nanoshell C may differ by up to four-orders of magnitude from the correct one.…”
Section: Numerical Subtletiesmentioning
confidence: 99%
“…Otherwise the radiative decay result for the interior of the nanoshell C may differ by up to four-orders of magnitude from the correct one. If one can perform calculations in an extended precision, this pathological behaviour can be largely overcome, yet the independent recurrence by Mackowski et al [59] is still highly recommended.…”
Section: Numerical Subtletiesmentioning
confidence: 99%
“…One of the best descriptions of the method can be found in the book of Bohren and Huffman [22]. The results presented in this paper were obtained with an own implementation of the method in MATLAB R using the recipes from [23,24] to improve the numerical stability of the code for systems with large refractive index differences.…”
Section: Lorenz-mie Scatteringmentioning
confidence: 99%
“…The soot cores inside water droplets are usually assumed to be spherical particles in climate and remote sensing applications. Thus, using the extended Mie theory for coated spheres (Mackowski et al, 1990), or using the classical Mie theory combined with an effective medium approximation (Bohren, 1986), the optical properties of spherical soot inside water droplets can be easily computed. However, the above two methods can not work for the aggregated soot inside water droplets.…”
Section: Soot Aggregate Inside a Water Dropletmentioning
confidence: 99%