Design Of A Gradient Index Binocular Objective

Preparation and refractive index characterization of chalcogenide glasses with gradient refractive index

“…Knowledge of the chromatic properties of GRIN can help to inform and drive material research and development. McLaughlin and Ryan‐Howard used the Abbe V number and partial dispersion coefficient to define GRIN dispersion 42–44 : $$$$\begin{equation}{V_{GRIN}} = \frac{{\Delta {n_c}}}{{\Delta {n_s} - \Delta {n_l}}},\end{equation}$$$$and $$$$\begin{equation}{p_{GRIN}} = \frac{{\Delta {n_c} - \Delta {n_l}}}{{\Delta {n_s} - \Delta {n_l}}},\end{equation}$$$$where Δ n is the change in the RI. Figure 7A shows the Δ n values of different composite glasses at 1.7–15 µm.…”

“…Knowledge of the chromatic properties of GRIN can help to inform and drive material research and development. McLaughlin and Ryan-Howard used the Abbe V number and partial dispersion coefficient to define GRIN dispersion [42][43][44] :…”

Chromatic paraxial aberration coefficients for radial gradient-index lenses

“…For determining the explicit form of the quantities d l u 0 and d l h 0 , note that keeping only first-order terms in d l means that d l can be regarded as a differential operator. Thus differentiating transfer equations (7) shows that d l u 0 and d l h 0 can be written as sums of three groups of terms,…”

“…In this section it will be shown that in a suitably defined thin-lens approximation, the results derived above lead for the total chromatic aberrations of RGRIN lenses to the same expressions as those that are well-known from the literature. 7 For homogeneous optical systems, thin-lens formulas for paraxial quantities and Seidel and chromatic aberrations are obtained by setting the lens thickness equal to zero in the exact formulas. For RGRIN lenses this approach is not adequate, because in this way the contributions stemming from transfer through the gradient medium would be lost.…”

“…At present, only results in the thin-lens approximation are used in the literature for the chromatic aberrations of RGRIN lenses. 7 In this paper the transfer contributions of RGRIN lenses to axial and lateral color coefficients will be obtained. After a brief discussion of the paraxial approximation in Section 2, a technique for decomposing the transverse chromatic aberration vector of an arbitrary paraxial ray in contributions from refraction at the surfaces and from transfer through the inhomogeneous media of the system -a necessary prerequisite for deriving the aberration coefficients-will be developed in Section 3.…”