Sign convention in geometric optics.

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In geometric optics, object distance is positive for real objects and negative for virtual ones, while image distance follows the same rule. The radius of curvature is positive if light approaches from the side of the center of curvature. A recent textbook introduces a different sign convention, stating that distances to the left of the lens are negative and those to the right are positive, leading to a modified lens formula. There is no universally accepted sign convention in geometric optics, as different textbooks may adopt varying definitions. However, this diversity encourages critical thinking among students rather than rote memorization of formulas.
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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