Abstract
A facile procedure for compositional screening of chalcogenide glass (CG) is proposed to manage its infrared transmission edge (ωc) as well as refractive index dispersion (ν) in the long-wavelength infrared (LWIR) range. Both ωc and ν of CG turn out to be interpretable simply in connection with its chemical composition based on a postulation that CG behaves as a single average harmonic oscillator (SAHO). In this SAHO model, ωc is expressed as a function of molar mass and average bond energy, both of which are easily accessible for a given CG composition. Two prototypical CG-forming systems in Ge-Sb-Se and Ge-Sb-S compositions exemplify the empirical compositional dependence of ωc, which further plays a decisive role in determining ν. Following the present approach, a set of highly dispersive CG compositions in the Ge-Sb-S system is newly unveiled together with low-dispersion Ge-Sb-Se glasses. It is then experimentally demonstrated that a doublet lens configuration consisting of convex and concave lenses with low and high ν values, respectively, is able to reduce the optical aberrations. This finding presents an opportunity that ν can be envisaged just based on the compositional ratio of CG, thus facilitating completion of the LWIR Abbe diagram.
Highlights
It is experimentally demonstrated that a doublet lens configuration consisting of convex and concave lenses with low and high ν values, respectively, is able to reduce the optical aberrations
Within the framework of the single average harmonic oscillator (SAHO) model, ωc turns out to be interrelated with molar mass (M) and the average bond energy (Eave) that can be calculated for any given chemical compositions
Two prototypical chalcogenide glass (CG) mostly out of ternary Ge-Sb-Se and Ge-Sb-S compositions have been employed in an effort to elucidate the compositional dependence of ωc and ν in the long-wavelength infrared (LWIR) spectral range
Summary
It is experimentally demonstrated that a doublet lens configuration consisting of convex and concave lenses with low and high ν values, respectively, is able to reduce the optical aberrations. In the case of optical glasses for use as lenses working at the visible spectrum, a multitude of glass compositions are readily available and well-categorized with regard to n and ν (typically expressed as Abbe number)[3]. This exceptionally large variety stems from the compositional flexibility inherent in glass materials, allowing extra degrees of freedom in designing lens systems to any desired levels of performance. Taking into consideration Sellmeier equation and the classical Lorentz oscillator model[11], the infrared-side transmission edge, viz., ωc in this study, turns out to be closely related with ν over the LWIR range rather than the ultraviolet-side transmission edge by which refractive index dispersion of the conventional silicate-glass-based optical materials is influenced
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