Abstract
Both design experiences and experimental results of a bifocal intraocular lens (BIOL) show that the performances of a BIOL are always considerably worse than those of the diffraction limit. But this significant conclusion was neither quantified nor rigorously proved in previous literatures. To provide theoretical guidance for designing a BIOL, a fundamental constraint on the maximum Strehl ratio of both refractive BIOLs and diffractive BIOLs with arbitrary bifocal intensity ratio is quantified and rigorously proved in this paper. This fundamental constraint restricts the performances of a BIOL considerably worse than those of the diffraction limit.
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