Skip to main content Accessibility help
×
Hostname: page-component-848d4c4894-ndmmz Total loading time: 0 Render date: 2024-05-16T14:12:03.916Z Has data issue: false hasContentIssue false

4 - Conversion of Complex-Valued Holograms to Phase-Only Holograms

Published online by Cambridge University Press:  07 January 2021

Peter Wai Ming Tsang
Affiliation:
City University of Hong Kong
Get access

Summary

In Chapter 3 a number of methods were described for generating a phase-only hologram of an object. However, these methods are not applicable if the source image of the object is not present, and only its hologram is available. Such a situation happens if a hologram is directly captured from a physical object (for example applying phase-shifting holography), instead of generated from a numerical graphic model. This chapter describes six methods for converting a complex-valued hologram into a phase-only hologram. The first two methods, complex amplitude modulation (CAM) and double-phase methods, convert a complex-valued hologram into a pure phase representation. When the latter is displayed on an SLM with suitable optical filtering, a visual 3-D image is reconstructed. The third to fifth methods apply different variants of the Floyd–Steinberg error diffusion algorithm to convert a complex-valued hologram into a continuous tone phase-only hologram. Among these three error diffusion methods, bi-directional error diffusion results in the best reconstructed image, while the local error diffusion method can be implemented with parallel computing devices such as GPUs. The last method, known as direct binary search (DBS), converts a complex-valued hologram into a binary phase-only hologram through an iterative process. The quality of the reconstructed image is generally poor unless more iterations are performed at the expense of longer computation time. A phase-only hologram generated by error diffusion or DBS can be displayed directly with a phase-only SLM without additional optical processing.

Type
Chapter
Information
Publisher: Cambridge University Press
Print publication year: 2021

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Tsang, P.W.M., Poon, T.-C., and Liu, J.-P., “Fast extended depth-of-field reconstruction for complex holograms using block partitioned entropy minimization,” Appl. Sci. vol. 8, no. 5, p. 830 (2018).CrossRefGoogle Scholar
Ren, Z., Chen, N., and Lam, E., “Extended focused imaging and depth map reconstruction in optical scanning holography,” Appl. Opt., vol. 55, pp. 10401047 (2016).Google Scholar
Zhao, F., Qu, X., Zhang, X., Poon, T., Kim, T., Kim, Y., and Liang, J., “Solving inverse problems for optical scanning holography using an adaptively iterative shrinkage-thresholding algorithm,” Opt. Express, vol. 20, pp. 59425954 (2012).Google Scholar
Tsang, P.W.M., Cheung, K., Kim, T., Kim, Y., and Poon, T.-C., “Fast reconstruction of sectional images in digital holography,” Opt. Lett., vol. 36, pp. 26502652 (2011).CrossRefGoogle ScholarPubMed
Davis, J., Cottrell, D., Campos, J., Yzuel, M., and Moreno, I., “Encoding amplitude information onto phase-only filters,” Appl. Opt., vol. 38, pp. 50045013 (1999).CrossRefGoogle ScholarPubMed
Liu, J. and Li, X., “Complex amplitude modulation in real time holographic computation,” in Imaging and Applied Optics 2014, OSA Technical Digest (Optical Society of America, 2014), paper SM4F.1.Google Scholar
Li, X., Liu, J., Jia, J., Pan, Y., and Wang, Y., “3D dynamic holographic display by modulating complex amplitude experimentally,” Opt. Express, vol. 21, pp. 2057720587 (2013).Google Scholar
Hsueh, C. and Sawchuk, A., “Computer-generated double-phase holograms,” Appl. Opt., vol. 17, pp. 38743883 (1978).CrossRefGoogle ScholarPubMed
Florence, J.M. and Juday, R.D., “Full-complex spatial filtering with a phase mostly DMD,” in Proc. SPIE 1558, Wave Propagation and Scattering in Varied Media II, San Diego, 1991.Google Scholar
Arrizón, V. and Sánchez-de-la-Llave, D., “Double-phase holograms implemented with phase-only spatial light modulators: performance evaluation and improvement,” Appl. Opt., vol. 41, pp. 34363447 (2002).Google Scholar
Tsang, P.W.M. and Poon, T.-C., “Novel method for converting digital Fresnel hologram to phase-only hologram based on bidirectional error diffusion,” Opt. Express, vol. 21, pp. 2368023686 (2013).CrossRefGoogle ScholarPubMed
Floyd, R.W. and Steinberg, L., “An adaptive algorithm for spatial grey scale,” Proc. Soc. Info. Disp., vol. 17, pp. 7577 (1976).Google Scholar
Yang, G., Jiao, S., Liu, J., Lei, T., and Yuan, X., “Error diffusion method with optimized weighting coefficients for binary hologram generation,” Appl. Opt., vol. 58, pp. 55475555 (2019).Google Scholar
Tsang, P.W.M., Jiao, A., and Poon, T.-C., “Fast conversion of digital Fresnel hologram to phase-only hologram based on localized error diffusion and redistribution,” Opt. Express, vol. 22, pp. 50605066 (2014).Google Scholar
Liu, J.-P., Yu, C., and Tsang, P.W.M., “Enhanced direct binary search algorithm for binary computer-generated Fresnel holograms,” Appl. Opt., vol. 58, pp. 37353741 (2019).Google Scholar
Leportier, T. and Park, M. C., “Generation of binary holograms for deep scenes captured with a camera and a depth sensor,” Opt. Eng., vol. 56, art. no. 013107 (2017).Google Scholar

Save book to Kindle

To save this book to your Kindle, first ensure coreplatform@cambridge.org is added to your Approved Personal Document E-mail List under your Personal Document Settings on the Manage Your Content and Devices page of your Amazon account. Then enter the ‘name’ part of your Kindle email address below. Find out more about saving to your Kindle.

Note you can select to save to either the @free.kindle.com or @kindle.com variations. ‘@free.kindle.com’ emails are free but can only be saved to your device when it is connected to wi-fi. ‘@kindle.com’ emails can be delivered even when you are not connected to wi-fi, but note that service fees apply.

Find out more about the Kindle Personal Document Service.

Available formats
×

Save book to Dropbox

To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Dropbox.

Available formats
×

Save book to Google Drive

To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Google Drive.

Available formats
×