Generalized diffractive optical elements with asymmetric harmonic response and phase control

Albero, Jorge; Davis, Jeffrey A.; Cottrell, Don M.; Granger, Charles E.; McCormick, Kyle R.; Moreno, Ignacio

doi:10.1364/ao.52.003637

Cited by 33 publications

(20 citation statements)

References 28 publications

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“…Then, a proper look-up table can be applied following the procedure initiated by Romero and Dickey 14 , and extensively discussed in previous works 15, 16 , to equalize the energy on the different target diffraction orders. Following this procedure, a set T of target diffraction orders are selected in the grating, each described by a linear phase term exp( i 2 πkx / D ), where k is the integer order that denotes the order, D is the period of the grating, and where we selected the grating oriented in the x -coordinate.…”

Section: Methods and Techniquesmentioning

confidence: 99%

“…Again, we used the procedures outlined in ref. 14–16 to optimize this grating. We note that we have 10 variables to optimize (the 5 amplitudes and 5 phases for each grating).…”

Section: Methods and Techniquesmentioning

confidence: 99%

“…The application of the optimal efficient phase profile for fan-out diffractive elements 14 allowed the design of these vortex sensing phase gratings with arbitrary target diffraction orders, with arbitrary intensity 15 and with arbitrary relative phase 16 . The same approach can be applied to design two different phase gratings to be applied to two orthogonal states of polarizations, in order to produce a polarization diffraction grating (PDG) where the state of polarization can be defined at will at each diffraction order 17 .…”

Section: Introductionmentioning

confidence: 99%

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Vector Beam Polarization State Spectrum Analyzer

Moreno

Davis

Badham

et al. 2017

Sci Rep

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We present a proof of concept for a vector beam polarization state spectrum analyzer based on the combination of a polarization diffraction grating (PDG) and an encoded harmonic q-plate grating (QPG). As a result, a two-dimensional polarization diffraction grating is formed that generates six different q-plate channels with topological charges from −3 to +3 in the horizontal direction, and each is split in the vertical direction into the six polarization channels at the cardinal points of the corresponding higher-order Poincaré sphere. Consequently, 36 different channels are generated in parallel. This special polarization diffractive element is experimentally demonstrated using a single phase-only spatial light modulator in a reflective optical architecture. Finally, we show that this system can be used as a vector beam polarization state spectrum analyzer, where both the topological charge and the state of polarization of an input vector beam can be simultaneously determined in a single experiment. We expect that these results would be useful for applications in optical communications.

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Section: Methods and Techniquesmentioning

confidence: 99%

“…Again, we used the procedures outlined in ref. 14–16 to optimize this grating. We note that we have 10 variables to optimize (the 5 amplitudes and 5 phases for each grating).…”

Section: Methods and Techniquesmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Vector Beam Polarization State Spectrum Analyzer

Moreno

Davis

Badham

et al. 2017

Sci Rep

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“…Este retardo puede ser sintonizable, variando la inclinación de las moléculas al aplicar un voltaje a los pixeles que componen el modulador, cambiando así el índice de refracción del cristal líqui-do.Esta forma de emplear los SLM como retardadores variables ha permitido su aplicación para la generación de vórtices espectrales, elementos de óptica difractiva [9], [10].…”

Section: Introductionunclassified

Desarrollo de un sistema basado en un LCOS-SLM para la generación de espectros sintonizables

Henríquez¹

2017

DOCTUMH

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Cómo citar este trabajo How to cite this paperA. Cofré Hernríqez, "Desarrollo de un sistema basado en un LCOS-SLM para la generación de espectros sintonizables" Revista Doctorado UMH, vol. 2, no 2, p.2, 2016. [Online].Desarrollo de un sistema basado en un LCOS-SLM para la generación de espectros sintonizablesDevelopment based on a LCoS-SLM for generatingtunable spectra system RESUMENEmpleando un modulador espacial de luz de cristal líquido sobre silicio (LCoS-SLM) como un retardador pixelado programable, se ha logrado desarrollar un sistema óptico que permite controlar el espectro de una fuente de luz láser de supercontínuo. El haz polarizado pasa por una red de difracción que descompone sus componentes espectrales, que se proyectansobre el LCoS-SLM, al cual aplicamos desde un ordenador diferentes máscaras de nivel de gris, logrando modificar la fase de cada longitud de onda. Al recombinarse el haz completo y atravesar por un analizador permite el paso de la intensidad de la luz de cada longitud de onda de acuerdo a la nueva fase que ésta adquirió en el modulador. Para la creación de las máscaras se analizaron tres métodos, el primero basado en un ajuste de Cauchy, el segundo en una interpolación de los valores obtenidos por un muestreo rápido y la última propuesta en la creación de una tabla con todos los valores.Finalmente presentamos los diferentes resultados que se obtuvieron como la elección de ciertas longitudes de onda y la creación de un filtro paso banda variable.Palabras clave: Dispositivo cristal líquido, modulador, espectro, polarización. ABSTRACTWe used a liquid crystal on silicon spatial light modulator (LCoS-SLM) as a programmable pixelated retarder. We have developed an optical system that allows to control the spectrum of a supercontinuum laser light source. The polarized beam passes through a diffraction grating which splits the spectral components. Then is projected onto the LCoS-SLM where we apply from a computer different masks gray level, in order to modify the phase of each wavelength.After recombination and passage through an analyzer,the different wavelengths pass or not according to the new phase acquired in the modulator. Three methods were analyzed for creating masks, the first based on aCauchy relation fit, the second in an interpolation of the values obtained by rapid sampling and the latest proposal on creating a table with all values. Finally, we present the different results obtained as the choice of certain wavelengths and creating a variable pass band filter.

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“…Finally, one can obtain the 2D ECPG by orthogonally crossing the two 1D ECPGs and overlapping with another axicon phase. It should be noted that symmetry is not necessary for continuous-phase gratings, and asymmetrical spot arrays are also possible if blazed gratings are employed [18]. As an example, we design a symmetrical and an asymmetrical square lattices of quasi-perfect vortices and only 5 × 5 array is considered in this Letter.…”

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Square lattices of quasi-perfect optical vortices generated by two-dimensional encoding continuous-phase gratings

Zhou

et al. 2015

Opt. Lett.

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We propose a type of two-dimensional (2D) encoding continuous-phase gratings capable of simultaneously generating a square lattice of multiple quasi-perfect vortices. As an example, a symmetrical and an asymmetrical 5×5 lattice of quasi-perfect vortices are experimentally demonstrated. It is shown that multiple quasi-perfect vortices with different topological charges are generated at different diffraction orders. The ring-width of these vortices is nearly constant, while there is a shift in the average ring-diameter when the carried charges are large enough, or when the ring-diameter is small. Additional axicon phase has been embedded into these 2D encoding gratings for the compensation of such shift in the average ring-diameter, and experimental results show that the shift can be greatly minimized after this compensation.

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Generalized diffractive optical elements with asymmetric harmonic response and phase control

Cited by 33 publications

References 28 publications

Vector Beam Polarization State Spectrum Analyzer

Vector Beam Polarization State Spectrum Analyzer

Desarrollo de un sistema basado en un LCOS-SLM para la generación de espectros sintonizables

Square lattices of quasi-perfect optical vortices generated by two-dimensional encoding continuous-phase gratings

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