Alternative constraints for improved multiplane hologram generation

Alejandro Velez-Zea; John Fredy Barrera-Ramirez; Roberto Torroba; Roberto Torroba

doi:10.1364/AO.439708

Applied Optics
Vol. 61,
Issue 5,
pp. B8-B16
(2022)
•https://doi.org/10.1364/AO.439708

Alternative constraints for improved multiplane hologram generation

Alejandro Velez-Zea, John Fredy Barrera-Ramirez, and Roberto Torroba

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Alejandro Velez-Zea, John Fredy Barrera-Ramirez, and Roberto Torroba, "Alternative constraints for improved multiplane hologram generation," Appl. Opt. 61, B8-B16 (2022)

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Abstract

In this work, we introduce a modified hologram plane constraint to improve the accuracy of the global Gerchberg–Saxton (GGS) algorithm used for multiplane phase-only hologram generation. This constraint consists of a modified phase factor that depends on the amplitude of the field in the hologram plane. We demonstrate that this constraint produces an increase in the mean correlation coefficient between the reconstructed planes from a multiplane hologram and the corresponding amplitude targets for each plane. Furthermore, this constraint can be applied together with a mixed constraint in the reconstruction planes, leading to a more uniform and controllable reproduction of a target intensity distribution. To confirm the validity of our proposal, we show numerical and experimental results for multiplane holograms with six discrete planes, using both high and low contrast targets. For the experimental results, we implement a holographic projection scheme based on a phase-only spatial light modulator.

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Supplementary Material (1)

Name	Description
Visualization 1	Experimental results of the multiplane holograms obtained using different methods for high and low contrast targets and different reconstruction planes.

Data Availability

Data underlying the results presented in this paper are not publicly available at this time but may be obtained from the authors upon reasonable request.

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Tables (4)

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Equations (3)

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Plane\Method	GGS	GGS-MHP	GGS-MC	GGS-MCMHP
1	0,7541	0,7985	0,7453	0,7826
2	0,8225	0,8467	0,8218	0,8439
3	0,8178	0,8372	0,8182	0,8321
4	0,7201	0,7435	0,6918	0,7011
5	0,5928	0,6205	0,6747	0,6787
6	0,7912	0,7858	0,7704	0,7589
Mean	0,7498	0,7720	0,7537	0,7662
Std. Dev.	0,0862	0,0831	0,0620	0,0672

Plane\Method	GGS	GGS-MHP	GGS-MC	GGS-MCMHP
1	0,8256	0,8276	0,8093	0,8085
2	0,7985	0,8148	0,7850	0,8032
3	0,7341	0,7539	0,7712	0,7647
4	0,8981	0,9120	0,8913	0,9061
5	0,7772	0,7718	0,7570	0,7511
6	0,9131	0,9276	0,9042	0,9185
Mean	0,8244	0,8346	0,8197	0,8254
Std. Dev.	0,0698	0,0715	0,0630	0,0709

Plane\Method	GGS	GGS-MHP	GGS-MC	GG-MCMHP
1	0,4862	0,4823	0,4985	0,4839
2	0,4522	0,4732	0,4542	0,4748
3	0,4810	0,4803	0,4798	0,4790
4	0,6849	0,7116	0,6737	0,7076
5	0,3776	0,3972	0,3797	0,3856
6	0,6458	0,6815	0,6724	0,6724
Mean	0,5213	0,5377	0,5264	0,5339
Std. Dev.	0,1188	0,1274	0,1206	0,1268

Plane\Method	GGS	GGS-MHP	GGS-MC	GGS-MCMHP
1	0,6294	0,6100	0,6584	0,6191
2	0,7769	0,7838	0,7625	0,7618
3	0,7656	0,7727	0,7464	0,7377
4	0,6293	0,6435	0,6397	0,6402
5	0,6266	0,6567	0,5869	0,5979
6	0,4527	0,4691	0,5424	0,5391
Mean	0,6468	0,6560	0,6561	0,6493
Std. Dev	0,1181	0,1159	0,0866	0,0851

Plane\Method	GGS	GGS-MHP	GGS-MC	GGS-MCMHP
1	0,7541	0,7985	0,7453	0,7826
2	0,8225	0,8467	0,8218	0,8439
3	0,8178	0,8372	0,8182	0,8321
4	0,7201	0,7435	0,6918	0,7011
5	0,5928	0,6205	0,6747	0,6787
6	0,7912	0,7858	0,7704	0,7589
Mean	0,7498	0,7720	0,7537	0,7662
Std. Dev.	0,0862	0,0831	0,0620	0,0672

Alejandro Velez-Zea	https://orcid.org/0000-0001-7525-9541
John Fredy Barrera-Ramirez	https://orcid.org/0000-0003-3260-0521
Roberto Torroba	https://orcid.org/0000-0003-3139-0593

Abstract

Supplementary Material (1)

Data Availability

Cited By

Figures (10)

Tables (4)

Equations (3)

Applied Optics