Abstract
For gradient refractive index media with large refractive index gradients, traditional ray tracing methods based on refined elements or spatial geometric steps have problems such as low tracing accuracy and efficiency. The ray tracing method based on refractive index steps proposed in this paper can effectively solve this problem. This method uses the refractive index step to replace the spatial geometric step. The starting point and the end point of each ray tracing step are on the constant refractive-index surfaces. It avoids the problem that the traditional tracing method cannot adapt to the area of sudden change in the refractive index and the area where the refractive index changes sharply. Therefore, a suitable distance can be performed in the iterative process. It can achieve high-efficiency and precise ray tracing in areas whether the refractive index changes slowly or sharply. According to the comparison of calculation examples, this method can achieve a tracing accuracy of 10−5 mm. The speed and precision of ray tracing are better than traditional methods.
Highlights
Received: 16 November 2020The optical phenomenon in the gradient refractive index medium, as a ubiquitous objective physical phenomenon in nature, has been noticed for a long time
This paper proposes a ray tracing method based on refractive index steps (RTRIS)
The ray tracing method based on the refractive index are stepalmost proposed inalthough this paper has refractive index of the medium, the errors of the two methods equal the extensive adaptability to the axial gradient refractive index, especially the inhomogeneous geometric step length of RTSGS is relatively large
Summary
The optical phenomenon in the gradient refractive index medium, as a ubiquitous objective physical phenomenon in nature, has been noticed for a long time. In areas where the refractive index changes sharply or suddenly, the iterative step will reduce automatically to capture the sudden changes in the refractive index effectively It can achieve refined tracing and improve ray tracing accuracy. The application of this method avoids the problem of being unable to capture regions of sudden changes in the refractive index after applying the step size regulation function. It can effectively avoid the problem of insufficient tracing accuracy or low efficiency caused by unreasonable geometric step setting. The method realizes the adaptive process of the gradient index medium in the ray tracing process
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