Generation of programmable 3D optical vortex structures through devil’s vortex-lens arrays

Calabuig, Alejandro; Sánchez-Ruiz, Sergio; Martínez-León, Lluís; Tajahuerce, Enrique; Fernández‐Alonso, Mercedes; Furlan, Walter D.; Monsoriu, Juan A.; Pons-Martí, Amparo

doi:10.1364/ao.52.005822

Cited by 19 publications

(10 citation statements)

References 29 publications

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“…In fact, the use of an SLM allowed the possibility to change in a simple way the characteristics of diffractive lenses, such as their focal length or their topological charge. The implementation of compound 3D optical vortex structures by means of an array of DVLs was reported in [38] with numerical simulations and experimental results.…”

Section: Fractal Vortex Lensesmentioning

confidence: 99%

Fractal Light Vortices

Machado¹,

Monsoriu²,

Furlan³

2017

Vortex Dynamics and Optical Vortices

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Vortex lenses produce special wavefronts with zero-axial intensity, and helical phase structure. The variations of the phase and amplitude of the vortex produce a circular flow of energy that allows transmitting orbital angular momentum. This property is especially in optical trapping, because due to the orbital angular momentum of light, they have the ability to set the trapped particles into rotation. Vortex lenses engraved in diffractive optical elements have been proposed in the last few years. These lenses can be described mathematically as a two-dimensional (2D) function, which expressed in polar coordinates are the product of two different separable one-dimensional (1D) functions: One, depends only on the square of radial coordinate, and the other one depends linearly on the azimuthal coordinate and includes the topological charge. The 1D function that depends on the radial coordinate is known as a zone plate. Here, vortex lenses, constructed using different aperiodic zone plates, are reviewed. Their optical properties are studied numerically by computing the intensity distribution along the optical axis and the transverse diffraction patterns along the propagation direction. It is shown that these elements are able to create a chain of optical traps with a tunable separation, strength and transverse section.

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Section: Fractal Vortex Lensesmentioning

confidence: 99%

Fractal Light Vortices

Machado¹,

Monsoriu²,

Furlan³

2017

Vortex Dynamics and Optical Vortices

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“…Generally, the decryption process is reverse of the encryption. The transformed image ( , V) is multiplied by the final phase key obtained from (13). The resulting expression undergoes the fractional Fourier transformation of the order to give complex distribution of the decrypted image.…”

Section: The Encryption Schemementioning

confidence: 99%

“…Devil's lens (DL), also called blazed fractal zone plate, has a phase distribution much similar to a ramped stair-step pattern and has a quadratic fractal blazed profile [9,10]. Devil's vortex lens (DVL) is phase-only Devil's lens modulated by a helical structure [11][12][13][14]. When a spiral phase plate is introduced, the DVL generates multiple axial vortices.…”

Section: Introductionmentioning

confidence: 99%

Devil’s Vortex Phase Structure as Frequency Plane Mask for Image Encryption Using the Fractional Mellin Transform

Vashisth

Singh

Yadav

et al. 2014

International Journal of Optics

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A frequency plane phase mask based on Devil's vortex structure has been used for image encryption using the fractional Mellin transform. The phase key for decryption is obtained by an iterative phase retrieval algorithm. The proposed scheme has been validated for grayscale secret target images, by numerical simulation. The efficacy of the scheme has been evaluated by computing mean-squared-error between the secret target image and the decrypted image. Sensitivity analysis of the decryption process to variations in various encryption parameters has been carried out. The proposed encryption scheme has been seen to exhibit reasonable robustness against occlusion attack.

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“…Singh et al 33 proposed the double phase-image encryption using GTs, in which the structured phase mask is derived from DVFL in the frequency plane. Some recent studies have also introduced structured phase mask based on devil's vortex Fresnel lens (DVFL) 34,35,36,37,38 .…”

Section: Introductionmentioning

confidence: 99%

Optical image encryption technique based on deterministic phase masks

et al. 2016

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Abstract. The double random phase encoding (DRPE) scheme, which is based on a 4f optical correlator system, is considered as a reference for the optical encryption field. In this work, we propose a modification of the classical DRPE scheme based on the use of a novel class of structured phase masks, the deterministic phase masks. In particular, we propose to conduct the encryption process by using two deterministic phase masks, which are built from linear combinations of several sub-keys. For the decryption step, the input image is retrieved by using the complex conjugate of the deterministic phase masks, which were set in the encryption process. This new concept of structured masks gives rise to encryption-decryption keys which are smaller and more compact than those required in the classical DRPE. In addition, we show that our method significantly improves the tolerance of the DRPE method to shifts of the decrypting phase mask -when no shift is applied, it provides similar performance to the DRPE scheme in terms of encryption-decryption results-. This enhanced tolerance to the shift, which is proven by providing numerical simulation results for gray-scale and binary images, may relax the rigidity of an encryptiondecryption experimental implementation set-up. To evaluate the effectiveness of the described method, the meansquare-error (MSE) and the peak signal-to-noise ratio (PSNR) between the input images and the recovered images are calculated. Different studies based on simulated data are also provided to highlight the suitability and robustness of the method when applied to image encryption-decryption processes.

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Generation of programmable 3D optical vortex structures through devil’s vortex-lens arrays

Cited by 19 publications

References 29 publications

Fractal Light Vortices

Fractal Light Vortices

Devil’s Vortex Phase Structure as Frequency Plane Mask for Image Encryption Using the Fractional Mellin Transform

Optical image encryption technique based on deterministic phase masks

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