SWaP tradeoffs in the solution space of a hybrid radial-axial achromatic GRIN singlet

A radial-axial hybrid GRIN theory is developed in order to explore the solution space of an achromatic GRIN singlet. With the achromatic hybrid GRIN theory in hand, the tradeoffs between thickness, curvature, and GRIN type can be directly studied in the context of SWaP (size, weight, and power) reduction. Finally, the achromatic solution space of a Silicon-Germanium based material system is explored.