Are the Radii R1 and R2 of a Lens Always the Same?

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Homework Help Overview

The discussion revolves around the properties of lens design, specifically focusing on the radii of curvature (R1 and R2) of the two spherical surfaces that form a lens. Participants are questioning whether these radii must be the same or can differ, and what implications this has for the lens's symmetry and functionality.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • Participants are exploring the relationship between the symmetry of a lens and the equality of its radii. Some express uncertainty about the importance of symmetry, while others question the effects of differing radii on lens behavior.

Discussion Status

The discussion is active, with participants sharing their thoughts on symmetry and its relevance to lens design. There is a recognition that the radii can be different, but the implications of this difference are still being examined. Guidance has been offered through references to external resources.

Contextual Notes

Participants are navigating assumptions about lens symmetry and its impact on optical properties. There is an acknowledgment of differing perspectives on the necessity of equal radii in lens construction.

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Homework Statement



A lens is a transparent refracting medium bounded by two spherical surfaces.R1 and R2 are radii of two surfaces.

Homework Equations



Will the Radii R1 and R2 will be same or different ?

The Attempt at a Solution


I hope that they are same, otherwise there won't be symmetry. Still doubts lingers. Revered members can help.
 
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I hope that they are same, otherwise there won't be symmetry.
Why would you see symmetry as being important, in a lens? How could you go about determining what would be the effect if the radii were not identical?
 
Ok, symmetry is not important. Agreed. So, radii of two spherical surfaces that constitute a lens can be different. Am I right?
 

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