
6 ◾ Mitsuo Takeda
where c(x,y) is the complex fringe amplitude dened by
()
()exp[ ()],cx bx ix
(1.3)
and * denotes the complex conjugate. e principle of the generic FTM
is shown schematically in Box 1.1 for the typical fringe signal created
numerically. We compute the Fourier transform of the spatial fringe sig-
nal in Equation (1.2). Referring to the shi theorem [13] in the list of basic
properties of Fourier transform summarized in Box1.2, we have
=+−+ −+() () ()*[ ()],
00
Gf Af Cf fC ff
(1.4)
BOX1.2 BASIC PROPERTIES OF FOURIER TRANSFORM
Some of the basic properties of the Fourier transform relevant to the Fourier
transform method ...