Spectrum sampling optimization for quantitative phase imaging based on Kramers–Kronig relations

Li, Yutong; Xiu, Wen; Sun, Ming; Zhou, Xuyang; Ji, Yu; Huang, Guancheng; Zhou, Keya; Liu, Shutian; Liu, Zhengjun

doi:10.1364/ol.460084

Cited by 10 publications

(3 citation statements)

References 19 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Spatially partially coherent illumination can be introduced in the non-interferometric setup by using LED illumination 246 , 247 , and the reflection wide-field intensity topography measurement 248 . For band-limited imaging systems, an expanded space-bandwidth can be achieved.…”

Section: Modern Phase Measurement Methodsmentioning

confidence: 99%

Quantitative phase imaging based on holography: trends and new perspectives

Huang,

Cao

2024

Light Sci Appl

View full text Add to dashboard Cite

In 1948, Dennis Gabor proposed the concept of holography, providing a pioneering solution to a quantitative description of the optical wavefront. After 75 years of development, holographic imaging has become a powerful tool for optical wavefront measurement and quantitative phase imaging. The emergence of this technology has given fresh energy to physics, biology, and materials science. Digital holography (DH) possesses the quantitative advantages of wide-field, non-contact, precise, and dynamic measurement capability for complex-waves. DH has unique capabilities for the propagation of optical fields by measuring light scattering with phase information. It offers quantitative visualization of the refractive index and thickness distribution of weak absorption samples, which plays a vital role in the pathophysiology of various diseases and the characterization of various materials. It provides a possibility to bridge the gap between the imaging and scattering disciplines. The propagation of wavefront is described by the complex amplitude. The complex-value in the complex-domain is reconstructed from the intensity-value measurement by camera in the real-domain. Here, we regard the process of holographic recording and reconstruction as a transformation between complex-domain and real-domain, and discuss the mathematics and physical principles of reconstruction. We review the DH in underlying principles, technical approaches, and the breadth of applications. We conclude with emerging challenges and opportunities based on combining holographic imaging with other methodologies that expand the scope and utility of holographic imaging even further. The multidisciplinary nature brings technology and application experts together in label-free cell biology, analytical chemistry, clinical sciences, wavefront sensing, and semiconductor production.

show abstract

Section: Modern Phase Measurement Methodsmentioning

confidence: 99%

Quantitative phase imaging based on holography: trends and new perspectives

Huang,

Cao

2024

Light Sci Appl

View full text Add to dashboard Cite

show abstract

“…It is found that by controlling the bandwidth considered in the calculations, the quality of reconstructed hologram, the number of presented diffraction orders and the separation between hologram replicas can be tailored. The schemes of controlling the diffraction bandwidth via the modifications of the spatial and spatial-frequency components can improve the CGH performance for various optical applications [33,34]. The CGH also provides a platform to visualize the effects of the parameter changes in the diffraction calculation on the computing bandwidth and accuracy.…”

Section: Introductionmentioning

confidence: 99%

Bandwidth Control in Computer- Generated Holography

Wu,

Qiu

et al. 2023

IEEE Photonics J.

View full text Add to dashboard Cite

The Fourier transform between the time and frequency signals of light enables highly efficient band usage in optical communications. Analogously, the Fourier transform between the wavefield and wavevector distributions in the optical spatial diffraction is useful to understand the bandwidth considered in the diffraction simulations. In this work, we thoroughly investigate the numerical techniques for controlling the bandwidth in the design of computer-generated holography.The experiments reveal the effects of bandwidth control on both accuracy improvement of diffraction equations and suppression of higher hologram orders. A general formula for controlling the bandwidth directly using the spatial-frequency components is concluded.

show abstract

“…In 2021, Li proposed a technique to achieve wavefront reconstruction, which utilized spectral concatenation and the KK relations to achieve phase recovery of four captured low-resolution images [35]. The next year, his group established a diagonal-extended sampling method, optimizing spectrum sampling to effectively deal with aliasing caused by the undersampling barrier [36].…”

Section: Introductionmentioning

confidence: 99%

Phase-retrieval algorithm based on Kramers–Kronig relations in coherent diffraction imaging

Wang¹,

Zhou²,

Ou³

et al. 2022

J. Opt.

View full text Add to dashboard Cite

Coherent diffraction imaging (CDI) is a high-resolution technique that does not require X-ray lenses. With advances in scientific technology, such as synchrotron radiation, X-ray free-electron lasers, and coherent electron sources, CDI has been applied to diverse fields, such as biology, medicine, and semiconductors, as a high-resolution, nondestructive measure. With the rapid increase in demand for these applications, enhancing the efficiency of processing high-volume data has become a significant challenge for promotion. In this study, we proposed an algorithm that combines Kramers–Kronig (KK) relations with oversampling smoothness (OSS). The results were evaluated by introducing an error coefficient. We found that the error of the KK-OSS algorithm is always reduced by approximately 50% compared with the error reduction (ER) algorithm and OSS in real space. In the diffraction space, the error in the KK-OSS decreased by 15%. With 100 iterations, KK-OSS spent 163.1 s on reconstructing most of the sample information, while ER took 258.1 s and the reconstruction was still a random value. In Fraunhofer diffraction, it cost KK-OSS 58.8 s to reconstruct, while OSS took 61.9 s. Therefore, this method can reduce the reconstruction error, shorten the reconstruction time, and improve the efficiency compared with the ER and OSS algorithm using a random phase as the initial value.

show abstract

Spectrum sampling optimization for quantitative phase imaging based on Kramers–Kronig relations

Cited by 10 publications

References 19 publications

Quantitative phase imaging based on holography: trends and new perspectives

Quantitative phase imaging based on holography: trends and new perspectives

Bandwidth Control in Computer- Generated Holography

Phase-retrieval algorithm based on Kramers–Kronig relations in coherent diffraction imaging

Contact Info

Product

Resources

About