Multiple-3D-object decryption based on one interference using two phase-only functions

Wei-Na Li; Sang-Min Lee; Sang Keun Gil; Nam Kim

doi:10.1364/AO.56.006214

Applied Optics
Vol. 56,
Issue 22,
pp. 6214-6221
(2017)
•https://doi.org/10.1364/AO.56.006214

Multiple-3D-object decryption based on one interference using two phase-only functions

Wei-Na Li, Sang-Min Lee, Sang Keun Gil, and Nam Kim

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Wei-Na Li, Sang-Min Lee, Sang Keun Gil, and Nam Kim, "Multiple-3D-object decryption based on one interference using two phase-only functions," Appl. Opt. 56, 6214-6221 (2017)

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Abstract

We propose a multiple-3D-object decryption scheme based on one interference using two beams that are from two different phase-only functions. It takes advantage of off-axis digital holography to extract the optical fields of multiple 3D objects, and respectively utilize single different decryption keys to decrypt multiple 3D objects in the decryption procedure. The advantages of the proposed scheme include the following: each 3D object can be decrypted discretionarily without decrypting a series of other objects earlier; no iterative algorithm is involved; and the decrypted image of each object can be successfully clearly distinguished. The feasibility of the proposed scheme is verified by the optical holograms of real 3D objects.

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Equations (24)

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Objects	POF1	POF3	POF4	$POF 1 + POF 4$	$POF 3 + POF 4$	$POF 1 + POF 3$	$POF 1 + POF 3 + POF 4$
Object 1	0.012	0.013	0.011	0.01	0.012	0.014	1.0
Object 2	0.017	0.018	0.015	0.014	0.017	0.02	1.0
Object 3	0.01	0.01	0.01	0.01	0.01	0.011	0.99
Object 4	0.011	0.012	0.011	0.01	0.011	0.012	0.99
Object 5	0.019	0.021	0.016	0.014	0.019	0.024	1.0
Object 6	0.012	0.013	0.012	0.011	0.012	0.014	1.0
Object 7	0.021	0.023	0.018	0.016	0.021	0.027	1.0
Object 8	0.012	0.013	0.012	0.011	0.012	0.013	1.0
Object 9	0.01	0.01	0.009	0.009	0.01	0.011	0.99
Object 10	0.011	0.011	0.01	0.01	0.011	0.012	0.99
Object 11	0.013	0.015	0.012	0.01	0.013	0.017	0.99
Object 12	0.012	0.012	0.011	0.01	0.011	0.014	1.0

Object	POF1	DKEY	$POF 1 + DKEY$	Reconstruction Distance (unit: cm)
Object 1	0.012	0.012	0.529	60.5
Object 2	0.017	0.017	0.511	44.1
Object 3	0.01	0.01	0.487	40.2
Object 4	0.011	0.011	0.462	47.9
Object 5	0.019	0.018	0.55	48.1
Object 6	0.012	0.012	0.484	53.5
Object 7	0.021	0.021	0.543	53
Object 8	0.012	0.012	0.485	57.3
Object 9	0.01	0.01	0.48	35
Object 10	0.011	0.011	0.526	63.1
Object 11	0.013	0.013	0.521	65.4
Object 12	0.012	0.011	0.495	67.9

	CC of the Decrypted Image
Only $DKEY_obj 1$ is incorrect	0.007
Only POF1 is incorrect	0.006

Objects	POF1	POF3	POF4	$POF 1 + POF 4$	$POF 3 + POF 4$	$POF 1 + POF 3$	$POF 1 + POF 3 + POF 4$
Object 1	0.012	0.013	0.011	0.01	0.012	0.014	1.0
Object 2	0.017	0.018	0.015	0.014	0.017	0.02	1.0
Object 3	0.01	0.01	0.01	0.01	0.01	0.011	0.99
Object 4	0.011	0.012	0.011	0.01	0.011	0.012	0.99
Object 5	0.019	0.021	0.016	0.014	0.019	0.024	1.0
Object 6	0.012	0.013	0.012	0.011	0.012	0.014	1.0
Object 7	0.021	0.023	0.018	0.016	0.021	0.027	1.0
Object 8	0.012	0.013	0.012	0.011	0.012	0.013	1.0
Object 9	0.01	0.01	0.009	0.009	0.01	0.011	0.99
Object 10	0.011	0.011	0.01	0.01	0.011	0.012	0.99
Object 11	0.013	0.015	0.012	0.01	0.013	0.017	0.99
Object 12	0.012	0.012	0.011	0.01	0.011	0.014	1.0

Object	POF1	DKEY	$POF 1 + DKEY$	Reconstruction Distance (unit: cm)
Object 1	0.012	0.012	0.529	60.5
Object 2	0.017	0.017	0.511	44.1
Object 3	0.01	0.01	0.487	40.2
Object 4	0.011	0.011	0.462	47.9
Object 5	0.019	0.018	0.55	48.1
Object 6	0.012	0.012	0.484	53.5
Object 7	0.021	0.021	0.543	53
Object 8	0.012	0.012	0.485	57.3
Object 9	0.01	0.01	0.48	35
Object 10	0.011	0.011	0.526	63.1
Object 11	0.013	0.013	0.521	65.4
Object 12	0.012	0.011	0.495	67.9

Abstract

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Tables (3)

Equations (24)

Applied Optics