Sign convention in geometric optics.

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SUMMARY

The discussion centers on the sign conventions used in geometric optics, specifically regarding object distance, image distance, and radius of curvature. The traditional convention states that object distance is positive for real objects and negative for virtual objects, while image distance follows a similar rule. A new textbook introduces a different convention where distances to the left of the lens are negative and those to the right are positive. Despite the lack of a universal sign convention in geometric optics, the discussion highlights the importance of consistency in applying a chosen convention to avoid confusion.

PREREQUISITES
  • Understanding of geometric optics principles
  • Familiarity with lens formulas, specifically 1/u + 1/v = 1/f
  • Knowledge of real and virtual images in optics
  • Basic grasp of the ISO-Norm for geometric optics
NEXT STEPS
  • Research the ISO-Norm for geometric optics and its applications
  • Study different sign conventions in optics and their implications
  • Explore the derivation and applications of the lens formula 1/u + 1/v = 1/f
  • Examine case studies that illustrate the impact of sign conventions on optical calculations
USEFUL FOR

Physics students, educators in optics, and technicians working with optical systems will benefit from this discussion, particularly those seeking clarity on sign conventions in geometric optics.

PrakashPhy
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Until today I learned in geometric optics that
  1. Object distance +ve for real object else -ve
  2. Image distance +ve for real image else -ve
  3. Radius of curvature +ve for if light comes to the surcace from the side lying center of curvature else -ve

On the basis of this the lens formula would be
1/u + 1/v = 1/f [u=obj distance v= image distance f= focal length]

But recently, the new textbook i follow writes that. "All distances towards the left of the lens are taken -ve and all other to the right are positive"

For a convex lens if the object is beyond 2f at a finite distance the new sign convention would give 1/v - 1/u = 1/f ;

I know it will not cause problem if i stick to one convention only but i wish to follow universal convention. So i would like to know if there is anything like "Universal sign convention" for geometric optics
 
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No there isn't. :-(
In fact every textbook still may use its own definition. On the other hand that's not so bad, because it forces students to really think about the problems and not only learn formulae by heart.
Actually there is a ISO-Norm for geometric optics which is mostly used by technicians but this is not implemented in physics education.
 
Thank you for your reply tommw
 

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