Photonics and Lasers

Chapter 17 - Gaussian Beam Optics

Chapter 17

 

Gaussian Beam Optics

In the last chapter, we concentrated on the confinement of laser light in the axial direction, along a line between the cavity mirrors. It was found that this confinement results in cavity modes that are standing waves in the longitudinal (axial) direction, with frequencies that depend on the mirror-mirror separation. In this chapter, we consider the distribution of light in the transverse direction, perpendicular to the cavity axis. It might be thought that to confine light in the transverse direction, mirrors would be needed along the sides of a laser cavity. We will see, however, that there is a solution to Maxwell's equations, the Gaussian beam, which provides a natural transverse confinement without the need for side mirrors. We will also explore the manipulation of these beams with lenses to focus or collimate the laser light.

17-1. GAUSSIAN BEAMS IN FREE SPACE

 We begin by considering how a beam of light may propagate in free space, so that it might be naturally confined between the mirrors of a laser cavity. There are many possible solutions to Maxwell s equations in free space, the plane wave (Eq. 2-4) being the simplest. The plane wave has an infinite extent in the transverse direction, however, and is not a good candidate for the true 3-D modes in a laser cavity. We would like instead a solution that is confined laterally to some extent. In general, when a beam of light is confined to a diameter D in the transverse direction, it spreads out with a divergence angle ~ /D due to diffraction, as illustrated in Fig. 17-1.

 

UNLIMITED FREE
ACCESS
TO THE WORLD'S BEST IDEAS

SUBMIT
Already a GlobalSpec user? Log in.

This is embarrasing...

An error occurred while processing the form. Please try again in a few minutes.

Customize Your GlobalSpec Experience

Category: Optical Linear Encoders
Finish!
Privacy Policy

This is embarrasing...

An error occurred while processing the form. Please try again in a few minutes.