Homework 5.pdf - UNIVERSITY OF CALIFORNIA Santa Barbara...

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UNIVERSITY OF CALIFORNIASanta BarbaraDepartment of Electrical and Computer EngineeringProblem Set No. 5Issued:May 5, 2017Spring 2017Due:May 15, 2017, 4 PMECE 1351.For a laser line shapefis Lorentzian or2202with1 GHzfand14010Hzf.The EinsteinAcoefficient is given as8110sA.Furthermore1fdf. The index of the medium is 1.(a)What is the spontaneous emission rate?Write an expression for the rate of change of populationof the constituents (2N) in the upper energy level.(b)What is the stimulated emission rate at010Hzfif the input radiation is white with11 J mHzf?White radiation means radiation with uniform amplitude over a very widespectral range.(c)What is the stimulated emission rate if the input radiation is monochromatic with/ 2fawayfrom the line center or at0/ 2fff and has intensity of 1 W m-22fffff143?

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Photon, Santa Barbara, Department of Electrical and Computer Engineering, University of California

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