In an optical system with a simple lens or a mirror off axis light is focused on a curved surface this is called field curvature. One gets field curvature and other distortions "for free"- this is the nature of singlet lenses and mirrors.
When viewing an image on this curved surface the eye will compensate by quickly focusing on the off axis area one is looking at. If we place a CCD at the on axis focal point then the image will be distorted because the focal plane is curved. To enable the CCD to provide an undistorted pic the focal plane has to be made flat - the field is now known as a flat field.
Distortion is the property of an optical system to image straight lines as curved. Wide field eyepieces provide an increase AFoV (above about 57 degrees) by purposely distorting the image - I think type 4 Naglers have about 25% distortion.
Jerry,