Various novel apparatuses and methods for generating X-rays are disclosed. In some embodiments, for example, an apparatus may be configured and arranged so that, for at least one interception point on a particular portion of a scan path on a surface of a target along which a steering element steers an accelerated electron beam (e-beam), both an angle and its complement between a line corresponding to a direction in which the accelerated e-beam is traveling at the interception point and a line oriented normal to the surface of the target at such interception point are greater than forty five degrees.