Refractive Index Optical Path

The velocity of a monochromatic beam of light in a material medium is different from that in vacuum. If c and v are the velocities of light in free space and in a medium respectively, the ratio c/v is defined as the refractive index of the medium. The refractive index is denoted by .

Or,  = c/v

Also c = ƒλ where  ƒ is the frequency of the vibration. When light is propagated from one medium to another medium, the frequency remains unaltered. Consequently, the wavelength is different in different media. If λ and λ_m are the wavelengths in free space and in the medium, then



An optical path is defined as the product of geometrical distance and the refractive index of the medium. Suppose a ray travels a distance x in a medium of refractive index , the optical path is equal to In a given time t, light travels a distance x₁ in a medium of refractive index the optical path,

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