There are two main kinds of artificial light: studio strobes and continuous lights. Strobes emit short bursts of light when triggered, and continuous lights stay on all of the time. (These are also referred to as hot lights because they generally emit a large amount of heat.)
Artificial light is most often used in photography studios. Setting up studio lights and adjusting their settings is a complete science in itself and will require practice to obtain consistent results.
Artificial lights are rarely used as-is. There are a variety of accessories for lights that help diffuse their harshness. Like the sun, a bare light emits harsh light. It is preferable to place a diffusion accessory between the light and the subject.
A common item used for this purpose is a softbox. A softbox is a large, black fabric box with a white fabric front that allows light to pass through it while softening its effect.
Another diffusion accessory is a reflective umbrella. The light is aimed into the umbrella so that it reflected back on the subject. As the light travels to the umbrella and bounces back out, it is diffused.
If you decide to incorporate artificial light into your photography, it is imperative that you fully understand how to operate your camera in manual mode and how to use a light meter. —CWN