Absolute Refractive Index = Speed of light in vacuum / speed of light in medium.
As the temperature rises, the speed of light increases because the optical density of the light is decreasing. The refractive index varies simultaneously for incident light of different wavelengths.
Refractive index can be written as n = λv / λm , where λv is the wavelength in vacuum and λm is the wavelength of the medium.
The density and temperature of a material affect its absolute refractive index. The wavelength of the incident light also plays a role.
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