1. (25 points) In this problem, we calculate the pumping power for a Nd*: Glass

Question

1. (25 points) In this problem, we calculate the pumping power for a Nd*: Glass laser. Some of the properties of this laser are summarized below: Linewidth of the gain curve: 200 cm Diameter of the beam at waist: 0.4 mm Wavelength: 1.06 m Loss per pass (due to scattering and output coupling): 2% Resonator (or cavity) length: 20 cm Index of refraction: n = 1.5 Spontaneous emission lifetime for the laser transition: 3 x 10 sec Volume of the gain medium: 1 cm3 Percentage of pump light in the useful absorption band: 10% Percentage of energy in the useful band that is absorbed for actual pumping: 10% Absorption quantum efficiency: 40% Average pumping frequency 2 x laser frequency

Explanation / Answer

A )

N2 = N1 exp -(E2 - E1)/kT

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