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Problem 9: For a Gaussian laser beam in air with a 0.5mm waist radius and X=850nm,
a. Find the (far field) diffraction half angle and the beam waist w(z) at z=50m
b. If the laser emits 5mW, what is the peak irradiance at z=50m?
c. What near field beam waist radius is required to limit the diffracted beam diameter to 1cm
at 50m? What detector diameter is needed to encircle (detect) 50% of the power?

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