How Does Light Intensity Change When Two Laser Beams Cross?

[fogvajarash]

Homework Statement

Two laser beams, one of wavelength 633 nm and intensity I₁ = 4.00x10⁶ W/m² with a circular beam profile D₁ = 1.33 mm in diameter, and one of wavelength 442 nm and intensity I₂ = 4.00x10⁶ W/m² with the same circular beam profile are fired, crossing at an angle of θ = 45°. Determine the intensity of the light scattered out of the 633 nm beam.

Homework Equations

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The Attempt at a Solution

I'm not sure on how to begin this problem. I was thinking, that because of when light crosses with another light beam, this beam shouldn't be affected at all, so I was thinking that the intensity should be the same (I highly doubt this argument is correct though). If not, then how could we determine light scattering in this aspect? How would light interact with each other in this case?

Thanks for your patience.

 

[BvU]

Any context ? Relativity, electromagnetism, classical optics, introductory quantum mechanics, photon-photon scattering in high-energy physics?

 

[fogvajarash]

Any context ? Relativity, electromagnetism, classical optics, introductory quantum mechanics, photon-photon scattering in high-energy physics?

Context is classical optics (I'm not sure which concept to apply here though).

 

[BvU]

Can't think of anything in classical optics or electromagnetism that scatters light with light: all is linear in the Maxwell equations and superposition holds. Perhaps that's what they want you to declare.
No clue in the lecture notes or anything ?