Abstract

Off-axis digital holograms are commonly processed using the Fourier transform method. This method requires estimation of the carrier frequency peak in the two-dimensional Fourier domain. The accuracy of peak location information using the standard fast Fourier transform (FFT) routines is limited by the pixel size, thus giving rise to a residual carrier component in the reconstructed image. In this Letter, we use an efficient two-step process for cross-term peak location to sub-pixel accuracy where the standard FFT-based peak finding procedure is followed by a high-resolution discrete Fourier transform (DFT) calculation at the nominal peak location. It is shown that the residual tilt artifacts due to a small change in the magnitude of the carrier frequency or due to the rotation of the fringe pattern are uniformly removed with this method. For a digital hologram of size $M\times N$ pixels, the high-resolution DFT calculation with an up-sampling factor of $\alpha$ requires an additional computational effort of $O(MN\alpha )$ which is marginal when $\alpha \ll M,N$ and, thus, provides a practical single-shot method for accurate demodulation of digital holograms.

© 2016 Optical Society of America

Quantitative phase imaging by single-shot Hilbert–Huang phase microscopy

Maciej Trusiak, Vicente Mico, Javier Garcia, and Krzysztof Patorski
Opt. Lett. 41(18) 4344-4347 (2016)

Digital holographic metrology based on multi-angle interferometry

Jun Dong, Chao Jiang, and Shuhai Jia
Opt. Lett. 41(18) 4301-4304 (2016)

Swept source digital holographic phase microscopy

Shichao Chen, Junghyun Ryu, Kiho Lee, and Yizheng Zhu
Opt. Lett. 41(4) 665-668 (2016)

Phase-shifting by means of an electronically tunable lens: quantitative phase imaging of biological specimens with digital holographic microscopy

Carlos Trujillo, Ana Doblas, Genaro Saavedra, Manuel Martínez-Corral, and Jorge García-Sucerquia
Opt. Lett. 41(7) 1416-1419 (2016)

Optical thickness measurement with single-shot dual-wavelength in-line digital holography

Junwei Min, Meiling Zhou, Xun Yuan, Kai Wen, Xianghua Yu, Tong Peng, and Baoli Yao
Opt. Lett. 43(18) 4469-4472 (2018)