A theory of refractive index and crystal constant

The refractive index of light is the ratio of the sine values of the refractive angle and the incident angle, and there is currently no relevant research on why it is sine. A theory was proposed that light spiral forward, where each spiral is a circle and each photon on it has a fixed length. At the same time, each atom in the crystal constant distance of the crystal will have an impact on photons, resulting in the formation of notches on the circle orbit of photons at a fixed length for each photon. The ratio of crystal constant to the fixed length of photons can form a sine value, and different crystal constants will form different sine values. The ratio of these sine values is the refractive index. A new refractive index formula was proposed, and the refractive index data of the Cauchy dispersion formula for sapphire and silicon carbide were analyzed, and the data were very supportive. Finally, software simulations using Python Turtle demonstrate that the theory is correct.

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Publication Details

Published
2025-09-23
DOI
https://doi.org/10.1117/12.3086079
Primary Topic
Optical Coatings and Gratings
Type
article
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article

A theory of refractive index and crystal constant

haijiang liu, Tianyi Liu, Xiaodong Xu, Benshuai Jiang et al.
Optical Coatings and Gratings
article

A theory of refractive index and crystal constant

haijiang liu, Tianyi Liu, Xiaodong Xu, Benshuai Jiang, Shangbo Lu
article en

Abstract

The refractive index of light is the ratio of the sine values of the refractive angle and the incident angle, and there is currently no relevant research on why it is sine. A theory was proposed that light spiral forward, where each spiral is a circle and each photon on it has a fixed length. At the same time, each atom in the crystal constant distance of the crystal will have an impact on photons, resulting in the formation of notches on the circle orbit of photons at a fixed length for each photon. The ratio of crystal constant to the fixed length of photons can form a sine value, and different crystal constants will form different sine values. The ratio of these sine values is the refractive index. A new refractive index formula was proposed, and the refractive index data of the Cauchy dispersion formula for sapphire and silicon carbide were analyzed, and the data were very supportive. Finally, software simulations using Python Turtle demonstrate that the theory is correct.

Beijing University of Posts and Telecommunications (CN), Beijing Technology and Business University (CN), Runze (China) (CN), German Central Institute for Social Issues (DE)
Openalex Percentile: Top 76%
Optical Coatings and Gratings
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