Where to place a thin lens to couple a ray into a fiber

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SUMMARY

The discussion focuses on the optimal placement of a thin lens to couple a ray from a point source into a fiber with a small core diameter, positioned 8 cm away. Two suggested placements include positioning the lens at its focal distance (1.5 cm) from the fiber and placing it midway between the source and the fiber. The consensus indicates that the central location is suboptimal, as it results in a transverse magnification of -1, which does not effectively enlarge the point source for coupling.

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  • Basic principles of optical fiber coupling
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Optical engineers, physicists, and students studying optics who are interested in fiber optics and lens placement for effective light coupling.

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Homework Statement


i need to couple a ray (point source 15 deg) into a fiber with a small core diameter, the fiber located 8cm from the source.
the focal distance of the lens is 1.5cm
i need to choose 2 possible locations

Homework Equations

The Attempt at a Solution


first suggestion:
i placed the lense in the focal distance from the fiber

second suggestion:
i placed the lense in the middle between the source and the fiber (in this location the transverse magnification equal to -1 meaning that the point source will not get bigger,am i correct?
 
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Neither of those locations seems correct to me. The central location is an especially poor choice.

How are the focal length, the object distance, and the image distance all related?
 

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