I have a question about the mathematical model of a reflective curve

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Discussion Overview

The discussion centers around the mathematical model of reflective curves, specifically in the context of optical wave reflection. Participants explore various interpretations of the term "reflective curve" and seek resources for further information, including academic papers and textbooks.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested

Main Points Raised

  • One participant requests information sources on the mathematical model of reflective curves, excluding Wikipedia.
  • Another participant suggests that understanding the specific question is necessary before sourcing answers.
  • A question is raised about the meaning of "reflective curve" and its applications, with a suggestion that it may relate to curved mirrors used in telescopes or microwave dishes.
  • One participant proposes that the term might refer to a 'reflectance curve' related to the effectiveness of materials in reflecting radiant energy, providing several links to relevant literature.
  • The original poster clarifies that they are referring to a reflective curve as a shape that reflects optical waves to a point, emphasizing that their inquiry is focused on mathematical modeling.
  • A participant mentions that the mathematical model for reflective surfaces in satellite dishes is typically a parabola or paraboloid, providing links to Wikipedia for further reading.

Areas of Agreement / Disagreement

Participants have differing interpretations of what constitutes a "reflective curve," with some suggesting it relates to reflectance in materials and others focusing on geometric shapes used in optics. The discussion remains unresolved regarding the precise definition and context of the term.

Contextual Notes

There are limitations in the clarity of the term "reflective curve," as participants have not reached a consensus on its meaning or application. The discussion also reflects varying levels of familiarity with the mathematical modeling aspects involved.

hagopbul
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TL;DR
question on mathematical model of reflection
Hello :

Have a question regarding the mathematical model of reflective curve where could i find information on it ? (pdf , webpages , ebooks ,...etc )

Other than Wikipedia

Best Regards
HB
 
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It would be helpful to know your question before trying to source the answer.
 
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What is a "reflective curve"?
What is the application?
Are you talking about curved mirrors, as used in telescopes or microwave dishes?
 
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hagopbul said:
Summary: question on mathematical model of reflection

Hello :

Have a question regarding the mathematical model of reflective curve where could i find information on it ? (pdf , webpages , ebooks ,...etc )

Other than Wikipedia

Best Regards
HB
Is one referring to a 'reflectance curve', or reflectance of the surface of a material, as in its effectiveness in reflecting radiant energy?

If so, https://www.sciencedirect.com/topics/earth-and-planetary-sciences/spectral-reflectance

or something like - https://www.sciencedirect.com/science/article/abs/pii/0034425782900578

or try - Journal of the Optical Society of America - e.g., https://opg.optica.org/josa/abstract.cfm?uri=josa-35-9-597

or perhaps - https://www.pnas.org/doi/10.1073/pnas.162368999
 
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no , i was talking about reflective curve a shape that reflect optical waves into some point reluctance was not part of my question , it is related to math and mathematical modeling i am reviewing math books now and found an exercise around this topic
 

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