Optics - Defining front and back of lens

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In optics, the front of a lens is defined as the side where incoming light rays first strike, while the back is where the rays exit. For a divergent lens, the object is typically placed in front of the lens, and the image formed is also in front of it. When using a concave mirror in conjunction with the lens, the image created by the mirror may appear on the opposite side of the lens, leading to confusion about which side is considered the front. It's crucial to maintain consistent terminology throughout the problem to avoid ambiguity. Therefore, the front and back designations should remain fixed based on the lens's orientation, regardless of the object's position.
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Working on some optics problems and I am confused about the front and back of the lens. The sign conventions are key to finding the correct image location. Now, is the front always where the object is located?

The problem I am working on involves a divergent lens and a concave mirror. The object is in front of the lens. An image forms in front of the lens. Then the concave mirror forms an image between the lens and the mirror, which would be on the opposite side of the lens.

Would the object now be considered as being in back of the lens, or would it be the front? The other side of the lens was previously the front. Does this change, or is one side considered the front for the whole problem?

Thanks!
 
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Instead of saying front and back of lens, you can say , the face which receives the ray and the face which refract the ray. Measure the distances from the center of the lens.
 
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