Cavity-ringdown spectroscopy is an alternative way of measuring small fractional absorptions down to sub-ppm levels per pass in the cavity.In this chapter, the basic principles behind cavity-ringdown spectroscopy are discussed. The areas where ultra-sensitive absorption measurements in the gas phase are important are illustrated, and existing methods of making these measurements are presented. The experimental requirements for performing cavity-ringdown spectroscopy are discussed, and an expression for the detection limit in cavity-ringdown spectroscopy is derived from statistical considerations. Finally, future prospects for the technique are discussed.Cavity-ringdown spectroscopy is an alternative way of making ultra-sensitive absorption measurements, particularly with gas-phase samples. This volume will discuss the research being conducted on cavity-ringdown spectroscopy by the leading research groups in the area. In the chapters that follow, various aspects of the cavity-ringdown experiment will be discussed and its applications described. Although the origins of the technique can be traced back to attempts to measure mirror reflectivities in the early 1980s (1-4), the spectroscopic application of the concept has only recently been reviewed (5,6) and is still not widely known to the general scientific community. Because the technique can provide the ability to measure small fractional absorptions (down to sub-ppm levels per pass), it should be of interest to broad segments of the analytical-, physical-, and engineering communities. This includes analytical chemists, spectroscopists, physical chemists doing laser spectroscopy and molecular beam work, combustion scientists, atmospheric chemists, and chemical engineers involved with process measurements-in fact, anyone involved with measuring trace components in gas-phase samples by absorption spectroscopy.This chapter will provide a basic introduction to cavity-ringdown spectroscopy for the reader who is not familiar with the technique. The intent is to show the basic principles of the technique without introducing undue mathematical complexity at the outset. However, before describing the technique, it is worthwhile to review some of the areas where sensitive gas-phase absorption measurements are important.