The following question is investigated: How narrow do the leaves of a multi
leaf collimator have to be such that further reduction of the leaf width do
es not lead to physical improvements of the dose distribution. Because of t
he physical principles of interaction between radiation and matter, dose di
stributions in radiotherapy are generally relatively smoothe According to t
he theory of sampling, the dose distribution can therefore be represented b
y a set of evenly spaced samples. The distance between the samples is ident
ified with the distance between the leaf centers of a multileaf collimator.
The optimum sampling distance is derived from the 20% to 80% field edge pe
numbra through the concept of the dose deposition kernel, which is approxim
ated by a Gaussian. The leaf width of the multileaf collimator is considere
d to be independent from the sampling distance. Two cases are studied in de
tail: (i) the leaf width equals the sampling distance, which is the regular
case, and (ii) the leaf width is twice the sampling distance. The practica
l delivery of the latter treatment geometry requires a couch movement or a
collimator rotation. The optimum sampling distance equals the 20%-80% penum
bra divided by 1.7 and is on the order of 1.5-2 mm for a typical 6 MV beam
in soft tissue. The optimum leaf width equals this sampling distance in the
regular case. A relatively small deterioration results if the leaf width i
s doubled, while the sampling distance remains the same. The deterioration
can be corrected for by deconvolving the fluence profile with an inverse ti
lter. Conclusions: With the help of the sampling theory and, more generally
, the theory of linear systems, one can find a general answer to the questi
on about the optimum leaf width of a multileaf collimator from a physical p
oint of view. It is important to distinguish between the sampling distance
and the leaf width. The sampling distance is more critical than the leaf wi
dth. The leaf width can be up to twice as large as the sampling width. Furt
hermore, the derived sampling distance can be used to select the optimum re
solution of both the fluence and the dose grid in dose calculation and inve
rse planning algorithms. (C) 2000 American Association of Physicists in Med
icine. [S0094-2405 (00)02011-3].