Abstract

Accurate reconstruction of digital holograms that are large in the $ x $ direction and small in the $ y $ direction, known as horizontal parallax only digital hologram (HPO-DH), must be carried out by non-paraxial propagation approaches such as the classical angular spectrum (AS) method. However, the required space–bandwidth product (SBP) for reconstruction of HPO-DHs requires billions of pixels, which is computationally intensive. Moreover, application of zero-padding for removing aliasing components would generate an unbearable computational burden. In this work, a novel AS technique that reconstructs non-paraxial HPO-DHs with low SBP is proposed. The proposed technique first employs the multi-Fourier transform plane propagation method, which avoids the increase of size in the vertical direction of the HPO-DH to be processed. The second ingredient for field calculation is coherent superposition of vertical tiles formed from the multi-Fourier transform calculations. The described methodology enables reconstruction of HPO-DHs with the AS method and reduced SBP. Efficient managing of the SBP allows implementing zero-padding strategies in the $ x $ direction. It is shown that the padding strategies can be implemented in the frequency, space, and space–frequency domains. Hence, suppression of aliased components and increase of the spatial resolution is possible at the same time. Finally, the accuracy and utility of the developed technique is proved by both numerical simulations and experiments.

© 2020 Optical Society of America

Full Article  |  PDF Article
More Like This
Fourier horizontal parallax only computer and digital holography of large size

Tomasz Kozacki, Juan Martinez-Carranza, Rafał kukołowicz, and Maksymilian Chlipała
Opt. Express 29(12) 18173-18191 (2021)

Three-dimensional display of a horizontal-parallax-only hologram

You Seok Kim, Taegeun Kim, Ting-Chung Poon, and Jin Tae Kim
Appl. Opt. 50(7) B81-B87 (2011)

Horizontal-parallax-only electronic holography

T.-C. Poon, T. Akin, G. Indebetouw, and T. Kim
Opt. Express 13(7) 2427-2432 (2005)

References

You do not have subscription access to this journal. Citation lists with outbound citation links are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Supplementary Material (2)

NameDescription
Visualization 1       Object reconstruction along the z axis when using no zero-padding (Visualization 1)
Visualization 2       Object reconstruction along the z axis when using spatial-frequency zero-padding (Visualization 2)

Cited By

You do not have subscription access to this journal. Cited by links are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Figures (13)

You do not have subscription access to this journal. Figure files are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Tables (1)

You do not have subscription access to this journal. Article tables are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Equations (12)

You do not have subscription access to this journal. Equations are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Metrics