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

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SUMMARY

The discussion centers on the mathematical model of reflective curves, specifically the parabola and paraboloid shapes used in optical applications such as satellite dishes and telescopes. Participants clarify the distinction between reflective curves and reflectance curves, emphasizing the mathematical modeling aspect. Key resources for further information include articles from ScienceDirect and the Journal of the Optical Society of America, which provide in-depth insights into the mathematical principles governing these reflective surfaces.

PREREQUISITES
  • Understanding of mathematical modeling concepts
  • Familiarity with parabolic and paraboloid geometries
  • Knowledge of optical wave behavior
  • Basic research skills for academic articles and resources
NEXT STEPS
  • Explore the mathematical properties of parabolas and paraboloids
  • Research the application of reflective curves in optical systems
  • Read articles on spectral reflectance from ScienceDirect
  • Investigate the Journal of the Optical Society of America for relevant studies
USEFUL FOR

Mathematicians, optical engineers, physics students, and anyone interested in the mathematical modeling of reflective surfaces in technology.

hagopbul
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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
 
Physics news on Phys.org
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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