Absolute instruments and perfect imaging in geometrical optics

Abstract

We investigate imaging by spherically symmetric absolute instruments that provide perfect imaging in the sense of geometrical optics. We derive a number of properties of such devices, present a general method for designing them and use this method to propose several new absolute instruments, in particular a lens providing a stigmatic image of an optically homogeneous region and having a moderate refractive index range.

20 pages, 9 images

References in corpus (3)

• Perfect imaging without negative refraction
• Perfect imaging with positive refraction in three dimensions
• Ambiguities in the scattering tomography for central potentials

Cited by in corpus (6)

• Perfect imaging with planar interfaces
• Duplex Mikaelian lenses and duplex Maxwell's fish eye lenses
• Transmutation of singularities and zeros in graded index optical instruments: a methodology for designing practical devices
• Subwavelength pulse focusing and perfect absorption in the Maxwell fisheye
• Ultrafast Excitation Exchange in a Maxwell-Fish-Eye Lens
• Multiple super-resolution imaging from Mikaelian lens to generalized Maxwell's fish-eye lens