How can I calculate this hyperbola's equation?

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SUMMARY

The discussion focuses on calculating the equation of a hyperbola for designing a telescope's mirror, utilizing parameters from the Optical Ray Tracer software. The hyperbola is defined by a "sphere radius" of 153mm and a "hyperbolic factor" of 21500. Users are encouraged to refer to Wikipedia for foundational knowledge on hyperbolas, which can aid in understanding these parameters. The conversation highlights the need for clarity on specific terms related to optical design.

PREREQUISITES
  • Understanding of hyperbolic geometry
  • Familiarity with optical ray tracing concepts
  • Basic knowledge of telescope design principles
  • Experience with mathematical modeling
NEXT STEPS
  • Research the mathematical derivation of hyperbola equations
  • Explore the functionalities of Optical Ray Tracer software
  • Learn about the design principles of telescope mirrors
  • Study the relationship between sphere radius and hyperbolic factors in optics
USEFUL FOR

Optical engineers, telescope designers, students in geometry, and anyone involved in optical modeling and ray tracing.

liamnerf
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Hello. I am currently trying to calculate the equation of a hyperbola, which I have little experience with. The hyperbola has a "sphere radius" of 153mm and a "hyperbolic factor" of 21500. I haven't been able to find anything online about what these mean and am lost. The parameters where given to me by a program called optical ray tracer which is used to model light rays in 2D. I am currently designing a telescope's mirror.
 
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liamnerf said:
Hello. I am currently trying to calculate the equation of a hyperbola, which I have little experience with. The hyperbola has a "sphere radius" of 153mm and a "hyperbolic factor" of 21500. I haven't been able to find anything online about what these mean and am lost. The parameters where given to me by a program called optical ray tracer which is used to model light rays in 2D. I am currently designing a telescope's mirror.

Hello liamnerf

Welcome to PF!

This may be of help.
 
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