Photonics and Lasers

Chapter 19 - Optical Amplifiers

Chapter 19

 

Optical Amplifiers

In the previous chapter, we found that optical amplification can occur when the population N2in the upper state is greater than the population N1in the lower state, a situation known as population inversion. The gain coefficient in the medium is proportional to the population difference N= N2- N1with the proportionality constant being the optical cross section (v) for the transition. In this chapter, we show how to determine the population inversion using a rate equation approach. We use this to calculate the net gain of an optical amplifier, and discuss the efficiency with which the pump power is converted into amplified light power.

19-1. GAIN COEFFICIENT

 In general, the gain coefficient may vary with position in the gain medium. We will therefore begin by focusing on a section of the gain medium small enough that the gain coefficient there can be considered to be approximately constant. The gain coefficient in this small section depends on the population inversion N2 - N1in that section. To determine the level populations N2and N1we use a rate equation approach.

 

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