Talbot array illuminator with multilevel phase gratings

Szwaykowski, Piotr; Arrizón, Víctor

doi:10.1364/ao.32.001109

Cited by 47 publications

(15 citation statements)

References 4 publications

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“…In previous works, the DFnT is formulated for describing the coefficients of Talbot image [20]- [24]. Degeneracy exists in the DFnT matrices: the size of DFnT matrices is N/2 if N ≡ 0 and 2 (mod 4), while the size of DFnT matrices is N if N ≡ 1 and 3 (mod 4).…”

Section: B Discrete Fresnel Transformmentioning

confidence: 99%

Orthogonal Chirp Division Multiplexing for Coherent Optical Fiber Communications

Ouyang¹,

Zhao²

2016

J. Lightwave Technol.

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Section: B Discrete Fresnel Transformmentioning

confidence: 99%

Orthogonal Chirp Division Multiplexing for Coherent Optical Fiber Communications

Ouyang¹,

Zhao²

2016

J. Lightwave Technol.

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“…The compression ratio, ∆/L, is a measure of its concentration capacity, and equals the value of integer q [19]. The TAI phases can be determined when the propagation is considered in the reversed way [21], [22], as shown in Fig. 2.…”

Section: Talbot Array Illuminatorsmentioning

confidence: 99%

On the structure of quadratic Gauss sums in the Talbot effect

Fernández-Pousa

2017

J. Opt. Soc. Am. A

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The field diffracted from a one-dimensional, coherently illuminated periodic structure at fractional Talbot distances can be described as a coherent sum of shifted units cells weighted by a set of phases given by quadratic Gauss sums. We report on the computation of these sums by use of the properties of a recently introduced integer s, which is constructed here directly from the two coprime numbers p that q that define the fractional Talbot plane. Using integer s, the computation is reduced, up to a global phase, to the trivial completion of the exponential of the square of a sum. In addition, it is shown that the Gauss sums can be reduced to two cases, depending only on the parity of integer q. Explicit and simpler expressions for the two forms of integer s are also provided. The Gauss sums are presented as a Discrete Fourier Transform pair between periodic sequences of length q showing perfect periodic autocorrelation. The relationship with one-dimensional multilevel phase structures is exemplified by the study of Talbot array illuminators. These results represent a simple means for the design and analysis of systems employing the fractional Talbot effect.

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“…x and b = Λ y are lateral periodicities, and c = Z T (n b ) is the longitudinal periodicity in medium n b . This spatial distribution of laterally and longitudinally periodic intensity distributions can be controlled by the phase profile (φ(x, y, z)) of the diffractive structure [23,24]. Figure 1a shows the proposed three-level DOE having a specific phase profile so that in the near-field phase-fronts of interfering diffracted beams interfere to create a diamond-like intensity distribution.…”

Section: Near-field Talbot Self-imagingmentioning

confidence: 99%

Multi-level diffractive optics for single laser exposure fabrication of telecom-band diamond-like 3-dimensional photonic crystals

Chanda¹,

Abolghasemi²,

Haque³

et al. 2008

Opt. Express

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We present a novel multi-level diffractive optical element for diffractive optic near-field lithography based fabrication of large-area diamond-like photonic crystal structure in a single laser exposure step. A multi-level single-surface phase element was laser fabricated on a thin polymer film by two-photon polymerization. A quarter-period phase shift was designed into the phase elements to generate a 3D periodic intensity distribution of double basis diamond-like structure. Finite difference time domain calculation of near-field diffraction patterns and associated isointensity surfaces are corroborated by definitive demonstration of a diamond-like woodpile structure formed inside thick photoresist. A large number of layers provided a strong stopband in the telecom band that matched predictions of numerical band calculation. SEM and spectral observations indicate good structural uniformity over large exposure area that promises 3D photonic crystal devices with high optical quality for a wide range of motif shapes and symmetries. Optical sensing is demonstrated by spectral shifts of the Gamma-Zeta stopband under liquid emersion.

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Talbot array illuminator with multilevel phase gratings

Cited by 47 publications

References 4 publications

Orthogonal Chirp Division Multiplexing for Coherent Optical Fiber Communications

Orthogonal Chirp Division Multiplexing for Coherent Optical Fiber Communications

On the structure of quadratic Gauss sums in the Talbot effect

Multi-level diffractive optics for single laser exposure fabrication of telecom-band diamond-like 3-dimensional photonic crystals

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