Simulation of an oil immersion objective lens: A simplified ray-optics model considering Abbe’s sine condition

Simulation of an oil immersion objective lens: A simplified ray-optics model considering Abbe’s sine condition

Sun-Uk Hwang and Yong-Gu Lee

In this paper, a simplified mathematical ray-optics model for an oil immersion objective lens, considering Abbe’s sine condition, is presented. Based on the given parameters of the objective lens, the proposed model utilizes an approach based on a paraxial thin lens formulation. This is done to simplify the complexity of the objective lens by avoiding the consideration of many lens elements inside a single objective lens. To demonstrate the performance of the proposed model, comparisons with exact ray tracing method, based on the specification of real objective lens, are presented in terms of several different criteria including the variation of shape of the light cone, the extent of vignetting and the focus displacement. From the exemplary simulations, it was demonstrated that the proposed model can describe the focusing of light through the objective lens precisely, even when the incident beam rotates.