Answered: Two laser beams with wavelengths λ1 =…

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter34: Maxwell’s Equations And Electromagnetic Waves

Section: Chapter Questions

Problem 77PQ

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Two laser beams with wavelengths λ₁ = 556 nm and λ₂ = 604 nm are aimed at the same point. The electric field from each laser in the y-direction behaves as the function,
E_i,y(x,t) = A(sin(2πf_it - 2πx/λ_i)
for i = 1 or 2, and they propagate at a speed of light c. Both fields have the same amplitude, A = 1 N/C.

λ₁ = 556 nm
λ₂ = 604 nm

Find the value of the total electric field in the y-direction E_y, in newtons per coulomb, at a time of exactly one femtosecond (10^-15 s) if the position the lasers is aimed at is exactly 100 nm away from each laser.

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