This is an introductory tutorial to the field of microdosimetry. Following a brief historical outline, we review the physics of experimental and theoretical microdosimetry and the application of microdosimetry to radiation biology within the so-called "site" approximation. Modern interpretations of microdosimetry that make use of methods developed in integral geometry are described under the heading "structural microdosimetry;" this also illustrates the conceptual basis of dual radiation action. A discussion concerning some future prospects of this field concludes the review.