Acta Optica Sinica, Volume. 10, Issue 1, 53(1990)
A set of analytical solutions of the paraxial ray equation for noncylindrical defocusing GRIN lens
In this paper, a study of the ray propagat ng through nonoylindrioal defocusing GRIN lens is presented. A set of general solutions of the paraxial merdial ray equation for nonoylindrioal defocusing GRIN lens which meet the weakly inhomogeneous condition (ie,d/(dz)[g-1 (z)]≤1) is proposed. The refractive-index profiles are derived from the condition met by the qiadient parameter-g(z), which provides the analytical solutions of the ray equation. Two independent analytical solutions for ray propagating paths are given and the paraxial imaging characteristics are discussed for a parabolic defocusing GRIN lens.
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[in Chinese], [in Chinese], [in Chinese]. A set of analytical solutions of the paraxial ray equation for noncylindrical defocusing GRIN lens[J]. Acta Optica Sinica, 1990, 10(1): 53