Application of Hilbert transform in reconstruction of in-line digital holography
-
Accepted Date:
2012-09-18
-
Abstract
In order to overcome the shortcomings of the two-step phase-shift digital holography,i.e.,the need to record multiple images and the phase shift error between actual phase shift and theoretical phase shift,a new method was presented to reconstruct the real image based on a single in-line hologram.The method uses characteristics of the Hilbert transform which can achieve digital phase shift and filter the direct-current(DC)component at the same time,Hilbert transform was used twice to the recorded hologram,no DC component holograms with π/2 phase-shift and without phase shift were obtained in turn,and then the two-step phase-shift digital holography method was used to reconstruct the real image.The feasibility of the method was verified through experiments.The experiment results show that the method can well restructure the original image of the object.
-
-
References
|
[1]
|
GOODMAN J W,LAWRENCE R W.Digital image formulation from electronically detected holograms[J].Applied Physics Letter,1967,11( 3):77-79. |
|
[2]
|
PAVILLON N,ARFIRE C,BERGOEND I,et al.Iterative method for zero-order suppression in off-axis digital holography[J].Optics Express,2010,18(15):15318-15330. |
|
[3]
|
CUCHE E,MARQUET P,DEPEURSINGE C.Spatial filtering for zero-order and twin-image elimination in digital off-axis holography[J].Applied Optics,2000,39(23):4070-4075. |
|
[4]
|
LIU Ch,LI Y Zh,LI L Y,et al.Digital holography free of zero-order diffraction and conjugate images[J].Acta Optica Sinica,2002,22(4):427-431(in Chinese). |
|
[5]
|
HOU R N,YAN Y F.The zero-order image and conjugate image elimination method of off-axis digital hologram[J].Laser Techno-logy,2012,36(5):632-635(in Chinese). |
|
[6]
|
YAMAGUCHI I,ZHANG T.Phase-shifting digital holography[J].Optics Letters,1997,22(16):1268-1270. |
|
[7]
|
WANG Y Z,ZHEN Y K,ZHANG H J,et al.Study on digital holography with single phase-shifting operation[J].Chinese Optics Letters,2004,2(3):141-143. |
|
[8]
|
ZHOU Zh R.Phase-shifting value extraction on digital holography with single phase-shifting operation[J].Opto-Electronic Engineering,2009,36(7):117-120(in Chinese). |
|
[9]
|
GONG Q,QIN Y.Extraction of real phase-shifting angle in two-step phase-shifting digital holography[J].Chinese Journal of Lasers,2010,37(7):1807-1011(in Chinese). |
|
[10]
|
GAO Ch Y,ZHOU C L.A kind of calibration algorithm of phase-shifting based on Hilbert transform[J].Optical Technique,2004,30(4):508-512(in Chinese). |
|
[11]
|
WANG F P,ZHOU W F,YING Zh,et al.Phase extracting for real-time holographic interferometry fringe pattern based on Hilbert transform[J].Opto-Electronic Engineering,2009,36(4):92-96(in Chinese). |
|
[12]
|
XIONG L D,JIA Sh H,DU Y F.A novel algorithm for phase retrieval from a single carrier frequency fringe pattern[J].Acta Optica Sinica,2010,30(1):123-126(in Chinese). |
|
[13]
|
PAN W Q,LU W,ZHU Y J,et al.One-shot in-line digital holography based Hilbert phase-shifting[J].Chinese Optics Letters,2009,7(12):1123-1125. |
|
[14]
|
KREIS T,JUPTNER W.Suppression of the DC term in digital holography[J].Optics Express,1997,36(8):2357-2360. |
-
-
Proportional views
-
Map
DownLoad: