Projection moiré system simulation

A. M. F. Wegdam; O. Podzimek; H. Hallie

doi:10.1364/AO.31.003755

Applied Optics
Vol. 31,
Issue 19,
pp. 3755-3758
(1992)
•https://doi.org/10.1364/AO.31.003755

Projection moiré system simulation

A. M. F. Wegdam, O. Podzimek, and H. Hallie

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A. M. F. Wegdam, O. Podzimek, and H. Hallie, "Projection moiré system simulation," Appl. Opt. 31, 3755-3758 (1992)

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Abstract

A method to simulate arbitrary projection moiré systems is presented. Based on the laws of geometric optics and the basic formulas for describing the projection moiré system, subjects such as lens systems, object forms, free-formed gratings, and system alignment are treated. Some simulation results obtained by using the method presented are shown.

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Equations (9)

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i	o(bservation) or p(rojection)
$\bar{D_{i}}$	direction of the optical axis
$\bar{E_{x i}}$	radius vector of the intersection point of the exit pupil and the optical axis
$\bar{E_{n i}}$	radius vector of the intersection point of the entrance pupil and the optical axis
GW_o	observation grating width in pixel numbers
GW_mo	observation grating width in millimeters
GL_o	observation grating length in pixel numbers
GL_mo	observation grating length in millimeters
LP_o	length of a CCD pixel on the observation grating
WP_o	width of a CCD pixel on the observation grating
$\bar{C_{i}}$	radius vector of the corner point of the i grating
$\bar{G_{i 1}}$	first direction vector of the i grating
$\bar{G_{i 2}}$	second direction vector of the i grating
T_j	Surface triangle with constant normal
T_ji	image of triangle T_j on the i grating
α_i	angle of the grating line with $\bar{G_{i 1}}$
P_i	pitch of the i grating
PF_i	pitch offset of the i grating
nj	refraction index behind optical surface j
dj	distance between two optical surfaces
Cj	curvature of jth optical surface
$\bar{I R}, \bar{R R}$	incident and refracted ray
$\bar{P C}$	radius vector of the pixel center of an array element on the CCD chip
ni	line number on the i grating
X_i′, Y_i′	grating coordinates
$\bar{p}$	radius vector of the starting point of a ray
β	dummy variable
$\bar{D V}$	unit vector in the direction of a ray
Fo_q	projection moiré fringe order in pixel q

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Applied Optics