Photonics and Lasers

Chapter 20 - Laser Oscillation

Chapter 20

 

Laser Oscillation

In the previous two chapters we have seen how light can be amplified by stimulated emission, which leads to a useful device: the optical amplifier. To make a laser, a feedback device such as a pair of mirrors must be added to the system. In this chapter, we consider the conditions under which the feedback provided by the mirrors will be sufficient to achieve laser oscillation. It will be seen that there is a minimum pumping power required to achieve lasing, termed the threshold pump power. We will then discuss the output properties of the laser above the lasing threshold, using a rate equation approach. Two different measures of the output efficiency of the laser will be discussed and contrasted. We will see how the mirror reflectivities can be chosen so as to optimize the laser output.

20-1. THRESHOLD CONDITION

 

The conditions under which lasing will occur can be determined by considering the simple laser cavity shown in Fig. 20-1. A uniform gain medium fills the region between two cavity mirrors, which are separated by distance L and have reflectivities R1 and R2. Let us say that there is a small amount of light at point A that happens to be moving in a direction toward mirror 2, as shown. As the light makes a round-trip through the cavity from point A to point B, it is amplified with a gain coefficient , while at the same time being attenuated by the loss coefficient [see Eq. (19-17)]. After reflection from mirror 2, the light intensity is reduced by a factor R2, and similarly for mirror 1. The intensity of the
light arriving at point B (IB) can then be written as

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