Muon shielding calculations: heterogeneous passive and active shields, applicatï¿½ons to experimental beams and areas Page: 4 of 11
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are changed again in the appropriate fashion. If a boundary
in the shield is crossed or the momentum drops below zero
in a given arc length, a step is taken backwards to that
boundary or to zero momentum and all of the direction
cosines are changed by smaller amounts by an interpolation
routine. This process continues in transporting the muons
throughout the shield. When a muon encounters a void in
the shield, that muon is transported across the void in a
single step without reducing its momentum or adding mul-
tiple Coulomb scattering. However, magnetic fields may
exist and be effective in the void.
At various points throughout the shield, boundaries
are drawn and various distributions are taken relating to
the muons crossing that boundary. Flux, angular, and
momentum distributions are common ones. Limits can also be
applied, i.e., the distributions can be limited to those
muons which cross a given area. These limits can be placed
on either the distributions alone or the muons themselves,
i.e., the limit can exclude a muon from being included in
distributions at one boundary, but that same muon can con-
tribute to distributions at subsequent boundaries or that
muon can simply cease being transported because it did not
fall within certain limits. These limit features allow one
to ask detailed questions about muons at a particular spot
in the shield or about muons that crossed a certain aper-
3. RESULTS AND DISCUSSION
3.1 Comparison with R. G. Alsmiller's calculations
It has been mentioned earlier in the paper that muon
shielding calculations for homogeneous shields have been
previously discussed'). These calculations were performed
by R. G. Alsmiller, Jr. of ORNL and are hereafter referred
to as Alsmiller's calculations. Dr. Alsmiller has been
kind enough to let us use his programs. Alsmiller's
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Theriot, D.; Awschalom, M.; Lee, K. & /Fermilab. Muon shielding calculations: heterogeneous passive and active shields, applicatï¿½ons to experimental beams and areas, article, January 1, 1971; Batavia, Illinois. (digital.library.unt.edu/ark:/67531/metadc881855/m1/4/: accessed February 20, 2018), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.