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Orientation of the Target in the Lab Frame

DDSCAT uses three angles, tex2html_wrap_inline3291, tex2html_wrap_inline3293, and tex2html_wrap_inline3289, to specify the directions of unit vectors tex2html_wrap_inline3221 and tex2html_wrap_inline3223 in the LF (see Fig. 5).

tex2html_wrap_inline3291 is the angle between tex2html_wrap_inline3221 and tex2html_wrap_inline3545.

When tex2html_wrap_inline3307, tex2html_wrap_inline3221 will lie in the tex2html_wrap_inline3661 plane. When tex2html_wrap_inline3293 is nonzero, it will refer to the rotation of tex2html_wrap_inline3221 around tex2html_wrap_inline3545: e.g., tex2html_wrap_inline3669 puts tex2html_wrap_inline3221 in the tex2html_wrap_inline3673 plane.

When tex2html_wrap_inline3305, tex2html_wrap_inline3223 will lie in the tex2html_wrap_inline3679 plane, in such a way that when tex2html_wrap_inline3319 and tex2html_wrap_inline3307, tex2html_wrap_inline3223 is in the tex2html_wrap_inline3551 direction: e.g, tex2html_wrap_inline3689, tex2html_wrap_inline3307, tex2html_wrap_inline3305 has tex2html_wrap_inline3695 and tex2html_wrap_inline3697. Nonzero tex2html_wrap_inline3289 introduces an additional rotation of tex2html_wrap_inline3223 around tex2html_wrap_inline3221: e.g., tex2html_wrap_inline3689, tex2html_wrap_inline3307, tex2html_wrap_inline3709 has tex2html_wrap_inline3695 and tex2html_wrap_inline3713.

Mathematically:

or, equivalently:



Bruce Draine
Thu Aug 10 09:34:16 EDT 2000