Lasers Chapter 7 - Lasers PH 645 OSE 645 EE 613 Summer 2010...

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Lasers PH 645/ OSE 645/ EE 613 Summer 2010 Section 1: T/Th 2:45- 4:45 PM Engineering Building 240 John D. Williams, Ph.D. Department of Electrical and Computer Engineering 406 Optics Building - UAHuntsville, Huntsville, AL 35899 Ph. (256) 824-2898 email: [email protected] Office Hours: Tues/Thurs 2-3PM JDW, ECE Summer 2010
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Chapter 7: Conditions for Producing a Laser Absorption and Gain Population Inversion Saturation intensity Development and Growth of a Laser Beam Exponential Growth Factor (Gain) Threshold Requirements Cambridge University Press, 2004 ISBN-13: 9780521541053 All figures presented from this point on were taken directly from (unless otherwise cited): W.T. Silfvast, laser Fundamentals 2 nd ed., Cambridge University Press, 2004. Chapter 7 Homework: 1, 2, 6, 10, 11, 12, 13
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Absorption and Gain Recall the conditions for stimulated emission and the current therein Frequency dependent decay rate: Change in intensity through the volume of the cavity Cavity resonance:
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Absorption and Gain for Homogeneous Broadening A simplified version of the intensity differentiated about the path length is: Which can be solved to find the normalized intensity of the cavity for homogeneous broadening as: Using the relationships for stimulated emission in a cavity: And the cross section of the stimulated emission in terms of 1/m 2 : g(v) in units of 1/m Where we define N ul in 1/m 3
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Absorption and Gain at Resonance At the resonance frequency: Where and Allowing one to determine the emission cross section simple from the relative radiative decay rates Thus for homogeneous broadening:
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