Photonics and Lasers

Chapter 12 - Light Source to Waveguide Coupling

Chapter 12

 

Light Source to Waveguide Coupling

We have seen in previous chapters how light propagates in a waveguide, and how the light can be generated by an LED or laser diode. A related issue is the efficiency with which light can be coupled from a light source into a waveguide. In this chapter we examine this efficiency for sources with different degrees of directionality. It will be seen that the coupling efficiency is greater for more directional sources.

12.1. POINT SOURCE

 

Consider first isotropic emission, in which light appears to emanate from a point. We would like to calculate the fraction of emitted power that is collected by an optical fiber, as illustrated in Fig. 12-1. If a point source emitting a total power Ps is embedded in a uniform medium of refractive index n0 outside the fiber, it will radiate light equally into all 4 steradians of solid angle, with an emitted power per unit solid angle of Ps/4 . As discussed in Chapter 4, however, only those rays making an angle < max with the fiber axis will be trapped by the fiber, where sin max = NA/n0 and NA is the numerical aperture of the fiber [Eq. (4-2)]. From Appendix A Eq. (A-2), the solid angle within which light will be trapped is

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