Does the Mirror Equation Apply to Parabolic Mirrors?

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SUMMARY

The discussion confirms that the mirror equation, 1/v + 1/u = 1/f, applies to both spherical and parabolic mirrors, provided the paraxial approximation is valid. While the equation 1/f = 2/R may not hold universally, the fundamental principles governing light reflection remain consistent across these mirror types. Concave paraboloid mirrors are more commonly utilized in practical applications, and the discussion highlights the importance of alignment for optimal performance.

PREREQUISITES
  • Understanding of the mirror equation and its components (focal length, object distance, image distance)
  • Familiarity with paraxial approximation in optics
  • Knowledge of the differences between spherical and parabolic mirrors
  • Basic principles of light reflection and ray optics
NEXT STEPS
  • Research the alignment techniques for parabolic mirrors
  • Study the implications of the paraxial approximation in optical systems
  • Explore the applications of concave paraboloid mirrors in technology
  • Learn about the derivation of the mirror equation and its limitations
USEFUL FOR

Students of optics, optical engineers, and anyone involved in the design or application of reflective systems, particularly those working with parabolic mirrors.

neelakash
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I was wondering whether the curved surface mirror formula (that is usually used to solve convex or concave spherical mirror problems) remains unaltered in case of parabolic mirrors.What might be invalid is the equation 1/f= 2/R...

After all,the equation 1/v + 1/u= 1/f pertains to convex/concave surfaced mirrors...However, I am not sure of it...Can anyone suggest anything?

-Regads,
Neel
 
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neelakash said:
the equation 1/v + 1/u= 1/f pertains to convex/concave surfaced mirrors.
I assume you mean spherical mirrors.
That formula is an approximation - it holds only for rays close to the axis (i.e. not good for very strong lenses/mirrors)
It's equally good for parabolic mirrors with the same proviso.
 
Thank you very much; yes,the mirror equation is a result of paraxial approximation.Although I forgot, probably there was nothing in the proof of the mirror equation that used the sphericity of the surface. It is good that it can also be used for convex or concave paraboloid mirrors (though concave paraboloid mirrors are in more use)...
 
Any body know how to align parabolic mirror?
please help...
 

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