A radiograph forms like a shadow: the x-ray source is a light, the patient an object, the detector a wall. And like any shadow, the size and clarity of the result depend on geometry. The basic measure of that geometry is SID (source-to-image distance): the distance between the focal spot and the detector. A single distance, but it affects three things at once — magnification, sharpness and dose.
What is SID?
SID (Source-to-Image Distance) is the distance between the x-ray tube's focal spot and the image receptor. Alongside it is a second distance: SOD (source-to-object distance), between the focal spot and the structure being imaged. The ratio of these two distances sets how much the shadow is enlarged.
Magnification
A shadow grows as it moves away from the light source; the same holds for x-rays. From similar triangles, magnification is defined as:1
Magnification is always greater than 1.0 and falls toward 1.0 as the object nears the detector (SOD approaches SID).1 That is why a hand radiograph is taken with the hand against the detector — magnification and distortion are minimized. An important nuance: structures at different depths in the patient have different SOD, so they are magnified by different amounts; this adds a natural blur, especially in thick regions.1
Sharpness and dose
SID affects two more things. Sharpness: the focal spot is not a point but a small area, which creates a penumbra (geometric blur) at the shadow's edge. As magnification rises, this blur grows too. So a long SID (and bringing the object near the detector) gives a sharper image. Dose: because x-ray intensity falls with distance by the inverse-square law, a longer SID lowers the flux reaching the detector and slightly more output is needed for the same image. In practice, standard SID values (e.g. ~180 cm for a chest radiograph, ~100 cm at the table) are chosen to balance these.
References
- Bushberg JT, Seibert JA, Leidholdt EM, Boone JM. The Essential Physics of Medical Imaging, 3rd ed. Lippincott Williams & Wilkins, 2011. §7 (Radiography): büyütme, benzer üçgenlerden M = SID/SOD (kaynak–görüntü mesafesi / kaynak–nesne mesafesi); büyütme her zaman > 1,0'dır ve nesne dedektöre değdiğinde 1,0'e yaklaşır; farklı düzlemler farklı büyütülür (s.219–220). Sayfa numaraları bu baskıya aittir.
- İlişkili: Temel Radyoloji Fiziği · Radyasyondan Korunma (ters kare yasası) · Görüntü Kalitesi