Which scatters light more: a sphere or a hemisphere?

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Discussion Overview

The discussion centers on the comparative light scattering capabilities of spheres versus hemispheres, particularly in the context of their application as scatterers on Thin-Film Solar Cells (TFSC). Participants explore how these shapes might influence the directionality of scattered light, specifically for solar light around 500 nm, and consider implications for solar cell design.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested

Main Points Raised

  • Some participants inquire about the definition of "better" in terms of light scattering and request visual aids to clarify the setup.
  • One participant suggests that a hemisphere might scatter light in a flatter cone compared to a sphere, but acknowledges the need for theoretical modeling to arrive at a definitive answer.
  • Another participant posits that if both shapes are oriented normally to the incoming light, there may be no significant difference in scattering unless the back half of the sphere is illuminated.
  • Concerns are raised regarding the material properties of the scatterers (e.g., dielectric or semiconductor) and their potential impact on scattering behavior.

Areas of Agreement / Disagreement

Participants express differing views on the effectiveness of spheres versus hemispheres in scattering light, with no consensus reached on which shape is superior. The discussion remains unresolved, with various hypotheses and considerations presented.

Contextual Notes

Participants note that the effectiveness of scattering may depend on specific conditions, such as the orientation of the shapes relative to the light source and the material properties of the scatterers. The discussion highlights the complexity of the problem, suggesting that theoretical modeling may be necessary for a clearer understanding.

zheng89120
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In case the context, which this question is based needs to be provided, the context follows. A sub-project was being done on using sphere or hemisphere "scatterers" on TFSC (Thin-Film Solar Cells). These "scatterers" can be applied on the top of a TFSC in order so that the solar cells can direct light waves in a flatter "cone" after interaction, hence allowing the solar cells to be made thinner, and hence cheaper.

Now, back to the original question. Which shape might scatters light (regular solar light, centered around ~500 nm) better, according to classical Electrodynamics (and maybe some intuition), a sphere or a hemisphere? (Although, I suppose it might be harder for spherical "scatterers" to be "applied" to a TFSC than a hemispherical "scatterers".)
 
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Can you show a sketch of the setup?
What is "better"?
 
In simple diagrams, which shape scatters light in a flatter "cone" (if that's the shape):

a) O<---
b) D<---

(O being a sphere, and D being a hemisphere)
 
zheng89120 said:
In case the context, which this question is based needs to be provided, the context follows. A sub-project was being done on using sphere or hemisphere "scatterers" on TFSC (Thin-Film Solar Cells). These "scatterers" can be applied on the top of a TFSC in order so that the solar cells can direct light waves in a flatter "cone" after interaction, hence allowing the solar cells to be made thinner, and hence cheaper.

Now, back to the original question. Which shape might scatters light (regular solar light, centered around ~500 nm) better, according to classical Electrodynamics (and maybe some intuition), a sphere or a hemisphere? (Although, I suppose it might be harder for spherical "scatterers" to be "applied" to a TFSC than a hemispherical "scatterers".)

My first reaction is to suggest that unless the radiation can somehow impinge on the "back half" of a sphere, there should be no difference--if both are positioned normal to the direction of radiation. A diagram would be helpful.
 
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By scatter, do you mean "focus"?
 
As a loose guess, I would say the hemisphere since it has less focusing power.

Regardless, I don't think there is a straightforward answer (by straightforward I mean something that can be answered without some theoretical modelling).

Also, the material (dielectric, semiconductor etc.) will likely have a significant effect on the answer.

Claude.
 

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