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A large-depth-of-field projected fringe profilometry using supercontinuum light illumination

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Abstract

In this paper, a large-depth-of-field projected fringe profilometry using a supercontinuum light source generated by launching femto second laser pulses into a highly nonlinear photonic crystal fiber is presented. Since the supercontinuum light has high spatial coherence and a broad spectral range (from UV to near infrared), a high power (hundreds of mW) point white light source can be employed to generate modulated fringe patterns, which offers following major advantages: (1) large-depth-of-field, (2) ease of calibration, and (3) little speckle noise (a major problem for the laser system). Thus, a highly accurate, large-depth-of-field projected fringe profilometer can be realized. Both the theoretical description and experimental demonstration are provided.

©2005 Optical Society of America

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Figures (6)

Fig. 1.
Fig. 1. Geometrical illustration of depth of field.
Fig. 2.
Fig. 2. Schematic diagram of a standard projection imaging system.
Fig. 3.
Fig. 3. Appearance of projected fringes on a tested object using different types of illumination source: (a) a laser source; (b) an extended white light source; and (c) a point supercontinuum light source.
Fig. 4.
Fig. 4. Schematic diagram of a phase-shifting projected fringe profilometric system using the supercontinuum light illumination
Fig. 5.
Fig. 5. Fringes projected on a fan blade via supercontinuum light illumination.
Fig. 6.
Fig. 6. Measured 3D surface profile of a fan blade

Equations (17)

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DOF tot = DOF w + DOF g
DOF w = k 1 λ N A 2
1 u + 1 v = 1 f
L n = u f 2 f 2 + ( u f ) F c
L f = u f 2 f 2 ( u f ) F c , for f 2 ( u f ) F c > 0
L f = , for f 2 ( u f ) F c 0
L DOF = L f L n = 2 u f 2 ( u f ) F c f 4 ( u f ) 2 F 2 c 2 , for f 2 ( u f ) F c > 0
L DOF = , for f 2 ( u f ) F c 0
L DOF = 2 F c m + 1 m 2 1 χ , for χ < 1
L DOF = , for χ 1
where χ = ( c m d ) 2
I 0 ( c , r ) = a ( c , r ) + b ( c , r ) cos [ 2 π c d + ϕ ( c , r ) ] ,
I 1 ( c , r ) = a ( c , r ) + b ( c , r ) cos [ 2 π c d + ϕ ( c , r ) + π 2 ] ,
I 2 ( c , r ) = a ( c , r ) + b ( c , r ) cos [ 2 π c d + ϕ ( c , r ) + π ] ,
I 3 ( c , r ) = a ( c , r ) + b ( c , r ) cos [ 2 π c d + ϕ ( c , r ) + 3 π 2 ] ,
ϕ ( c , r ) = arctan [ I 3 ( c , r ) I 1 ( c , r ) I 0 ( c , r ) I 2 ( c , r ) ] 2 π c d .
H A C = A C tan θ 0 = ( φ C φ A ) d 0 tan θ 0 2 π
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