Triplet lens

The triplet design is the simplest to give the required number of degrees of freedom to allow the lens designer to overcome all Seidel aberrations.

[1] The three lenses may be cemented together, as in the Steinheil triplet (optimized for finite conjugate ratio) or the Hastings triplet (optimized for infinite conjugate ratio).

The former has the advantage of higher optical throughput due to fewer air-glass interfaces, but the latter provides greater flexibility in aberration control, as the internal surfaces are not confined to have the same radii of curvature.

[1] Jewellers' loupes typically use a triplet lens.

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