Darius Miles

2022-09-26

Which of following statement regarding non-linear optics is incorrect?
A. Refractive index can depend on light intensity.
B. Two light beams are independent and cannot control each other.
C. It can produce second harmonic generation with light frequency doubled $\left(2\omega \right)$
D. It can produce sum-frequency generation of two incident light beams $\left({\omega }_{3}={\omega }_{1}+{\omega }_{2}\right)$

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Expert

The problem is based on the concept of no linear optics. Nonlinear optics (NLO) is the branch of optics that describes the behavior of light in nonlinear media, that is, media in which the polarization density P responds non-linearly to the electric field E of the light. The solution to the given problem is as follows
The refractive index also depends on the velocity of light. So it is safe to say that the intensity of light depends on the refractive index of the medium. Therefore option one is correct.
SHG (second harmonic generation), also known as frequency doubling, is a nonlinear optical process in which photons interacting with a nonlinear material are effectively 'combined' to generate new photons with twice the frequency of the original photons. Therefore option three is also correct.
Sum-frequency generation (SFG) is a second-order nonlinear optics process based on the annihilation of two input photons at angular frequencies while, simultaneously, one photon at frequency is generated. Therefore last option is also correct.
Therefore, the incorrect option is option two.
Solution: Two light beams are independent and cannot control each other.

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