Current Optics and Photonics

Optical Society of Korea (한국광학회)
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Efficient and Exact Extraction of the Object Wave in Off-axis Digital Holography

  • Jang, Jin (Department of Photonic Engineering, Chosun University) ;
  • Jeon, Jun Woo (Department of Photonic Engineering, Chosun University) ;
  • Kim, Jin Sub (Department of Photonic Engineering, Chosun University) ;
  • Joo, Ki-Nam (Department of Photonic Engineering, Chosun University)
  • Received : 2018.09.12
  • Accepted : 2018.11.05
  • Published : 2018.12.25
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Abstract

In this paper, a new method for spatial filtering in digital holography is proposed and verified by simulations compared to conventional methods. The new method is based on the simultaneous acquisition of two digital holograms, which can be separated by distinct spatial modulation, in a single image. Two holograms are generated by two reference waves, which have different spatial modulation orientations. Then, the overlapping region between the DC term and the object wave in the first hologram can be replaced with a less-overlapping region of the object wave in the second hologram because the whole image contains two holograms where the same objective wave has been recorded. In the simulation results, it is confirmed that the reconstructed image by the new method has better quality than for the original method.

Keywords

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FIG. 1. An example of the optical configurations used to avoid the interference between two reference waves for the proposed method.

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FIG. 2. (a) Spatial frequency contents of a conventional digital hologram; each circle means the spatial frequency contents involved in each term. (b) Spatial frequency contents of two digital holograms in this method; each circle means the spatial frequency contents involved in each term. The overlap region of R1*O can be replaced with the non-overlap region of R2*O.

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FIG. 3. (a) The USAF 1951 test target image and (b) 3D height map assumed by 100 nm maximum height for the simulation.

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FIG. 4. (a) Simulated hologram where the inlet shows the interference pattern from the tilted reference wave and (b) the spatial frequency contents of (a) in the conventional off-axis DH.

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FIG. 5. (a) Simulated hologram where the inlet shows the interference patterns from two tilted reference wave and (b) the spatial frequency contents of (a) in the new off-axis DH. The overlapping region is replaced with the non-overlapping region.

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FIG. 6. Spatial frequency contents of the object wave using the conventional band pass filtering method and (b) new method with the replacement.

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FIG. 7. (a) Reconstructed image of the USAF target and (b) reconstructed 3D height map by the proposed method.

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FIG. 8. Enlarged 3D height maps in the “-2” region of the target from (a) conventional method and (b) new method.

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FIG. 9. Height difference between the reconstructed and original height maps.

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