For a particular metrological application we are developing, we would like to find microscope objectives designed according to Herschel criteria (magnifying along Z axis) instead of Abbe criteria (magnifying at transverse plane). We could also design them ourselves, but this is normally harder and slower. Does anyone know of any commercialized Herschel-designed objectives, or of good starting points for designing them (in Zemax, Oslo or another software)? Alternatively, design starting points for axial magnification with large apertures would also be welcomed.

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