2014
DOI: 10.1364/ao.53.004784
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Simplifying numerical ray tracing for characterization of optical systems

Abstract: Ray tracing, a computational method for tracing the trajectories of rays of light through matter, is often used to characterize mechanical or biological visual systems with aberrations that are larger than the effect of diffraction inherent in the system. For example, ray tracing may be used to calculate geometric point spread functions (PSFs), which describe the image of a point source after it passes through an optical system. Calculating a geometric PSF is useful because it gives an estimate of the detail a… Show more

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Cited by 6 publications
(3 citation statements)
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References 19 publications
(20 reference statements)
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“…To describe the optical performances of scallop retinas as functions of the wavelengths of light entering an eye, object distances, and the general shape of the eye, we used a novel ray-tracing method that is especially well-suited for analyzing the performance of animal eyes because it allows multiple atypical surfaces to be described and traced easily. This method—developed by Gagnon et al (2014) —represents rays of light and optical interfaces as a continuous function by utilizing Chebyshev approximations (via the chebfun toolbox in Matlab, R2011b, Mathworks Inc., Natick, MA, USA). We modeled the wavelength dependence of the refractive index of ocular media using a previously published model that was based on direct measurements from vertebrate eyes and then generalized for broader application to other optical systems ( Gagnon et al 2010 ).…”
Section: Methodsmentioning
confidence: 99%
“…To describe the optical performances of scallop retinas as functions of the wavelengths of light entering an eye, object distances, and the general shape of the eye, we used a novel ray-tracing method that is especially well-suited for analyzing the performance of animal eyes because it allows multiple atypical surfaces to be described and traced easily. This method—developed by Gagnon et al (2014) —represents rays of light and optical interfaces as a continuous function by utilizing Chebyshev approximations (via the chebfun toolbox in Matlab, R2011b, Mathworks Inc., Natick, MA, USA). We modeled the wavelength dependence of the refractive index of ocular media using a previously published model that was based on direct measurements from vertebrate eyes and then generalized for broader application to other optical systems ( Gagnon et al 2010 ).…”
Section: Methodsmentioning
confidence: 99%
“…We note that Gagnon et al [12] already proposed using univariate Chebyshev interpolation for meridional ray tracing in rotationally symmetric systems. Later on, Jesus and Iskander [13] extended the concept to bivariate Chebyshev interpolation of both surface and ray-surface intersection data.…”
Section: Introductionmentioning
confidence: 91%
“…Shen T C and Drost R J et al [22] proposed a catadioptric beacon position system that can provide mobile network nodes with omnidirectional situational awareness of neighboring nodes. Gagnon Y L and Speiser D I et al [23] proposed an optical system characterization method that simplifies numerical ray tracing, which greatly simplified the calculations for the location and direction of the rays by using the Chebyshev approximation, whereas all of the above existing mirror binocular researches place the catadioptric structure in front of the lens, making the size of the measuring sensor system larger, and the convenience of measurement has not been significantly improved.…”
Section: Introductionmentioning
confidence: 99%