Alternative to Mie Theory for Analysis of Homogenous Sphere

Click For Summary

Discussion Overview

The discussion revolves around the analysis of the absorption, scattering, and extinction of a homogeneous sphere when it is surrounded by two different media, as opposed to the typical application of Mie theory which deals with a single medium. Participants explore whether an analytic solution exists for this modified scenario.

Discussion Character

  • Exploratory, Technical explanation, Debate/contested

Main Points Raised

  • One participant questions the configuration of the two different media surrounding the sphere, asking if they form shells or if the sphere is divided horizontally between two media.
  • Another participant clarifies that one half of the sphere is embedded in a substrate while the upper half is in air or vacuum.
  • A suggestion is made to potentially add additional boundary conditions to the equations referenced in a specific section of a linked document to find a suitable solution, or alternatively to derive from Maxwell's equations.

Areas of Agreement / Disagreement

Participants have not reached a consensus on the approach to take for analyzing the sphere in two different media, and multiple viewpoints regarding the configuration and potential solutions remain present.

Contextual Notes

The discussion does not resolve the mathematical steps necessary for deriving a solution, nor does it clarify the implications of the boundary conditions mentioned.

Ox2
Messages
2
Reaction score
0
I know that mie theory is used to analyze the absorption/scattering/extinction of a homogeneous sphere within a homogeneous dielectric medium. However, if I wanted to perform the same analysis on a sphere enclosed by two different media, is there an analytic solution to this?
 
Engineering news on Phys.org
How by two different media? Do the media form shells? Or the lower half in one medium, the upper half in another?
 
One half of the sphere is embedded in a substrate, and the upper half is in air/vaccum.
 
maybe if you add additional boundary conditions to the equations in 3.5.2 (link below) you can get a solution suited to your needs... otherwise derive from maxwell...

http://evan.ucsd.edu/class/sioc251/Lecture_Notes_files/mie_detailed.pdf
 

Similar threads

  • · Replies 5 ·
Replies
5
Views
2K
  • · Replies 5 ·
Replies
5
Views
1K
Replies
2
Views
3K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 2 ·
Replies
2
Views
3K
  • · Replies 1 ·
Replies
1
Views
4K
Replies
31
Views
4K
  • · Replies 24 ·
Replies
24
Views
4K
  • · Replies 1 ·
Replies
1
Views
3K
Replies
7
Views
2K