Advanced Physics for Brachytherapy 2018

The method

It would not strike you as odd that any function in R 3 can be expanded as a 3 term series

provided the basis for this expansion is orthogonal, e.g.:

ˆ ˆ ˆ

i

0 ˆ ˆ ˆ i k k j j =•

= •=•

= kk j j i i

=•

• =•

1 ˆ ˆ ˆ ˆ ˆ ˆ

i, j, and k are said to form an orthogonal basis

Many orthogonal bases exist!