Gradient-index planar optics for optical interconnections

Song, Seok Ho; Park, Suntak; Oh, Cha Hwan; Kim, Pill Soo; Cho, Mu Hee; Kim, Yeong Sik

doi:10.1364/ol.23.001025

Cited by 25 publications

(9 citation statements)

References 8 publications

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“…On the other hand, considering g∕κ ≪ 1, the period p z is approximated to 2π∕g. According to published data [15][16][17], the values of the gradient parameter g, for conventional GRIN devices operating in the visible domain, are in the range from 10 2 m −1 to 10 4 m −1 . For the extreme gradient index g 10 4 m −1 , and the assumed quotient g∕κ 10 −4 , we obtain the short revival period p z 2π × 10 −4 m, while the large two-fold split and revival distances are z S ≈ 3.14 m and z R ≈ 6.28 m, respectively.…”

Section: Discussion and Final Remarksmentioning

confidence: 99%

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Revival and splitting of a Gaussian beam in gradient index media

et al. 2015

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The short range revival of an arbitrary monochromatic optical field, which propagates in a quadratic GRIN rod, is a well-known effect that is established assuming the first-order approximation of the propagation operator. We discuss the revival and multiple splitting of an off-axis Gaussian beam propagating to relatively long distances in a quadratic GRIN medium. These effects are obtained assuming the second-order approximation of the propagation operator in this medium.

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Section: Discussion and Final Remarksmentioning

confidence: 99%

“…Since this result also occurs for the twodimensional Gaussian beam ψ α x; y, the two fields in Eq. (17) are shifted symmetrically with respect to the origin in the (x, y) plane.…”

Section: B Long-range Revival and Multiple Split Effectsmentioning

confidence: 99%

Revival and splitting of a Gaussian beam in gradient index media

et al. 2015

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“…In our study, several planar optics schemes to detect parallel optical packet addresses in WDM switching networks, to perform a space-variant processing such as fractional correlation, and to construct multistage interconnection networks, have been demonstrated in a three-dimensionally integrated planar waveguide structure made of glass blocks. [31][32][33][34][35][36][37] We have been able to demonstrate the graded index substrate concept by using six 1/4-pitch graded index rod lenses and a vertical cavity surface-emitting laser (VCSEL). The graded index planar optics can be further extended to the use of two-dimensional array of VCSEL microlasers and modulators in realizing massively parallel interconnects in three-dimension.…”

Section: Three-dimensional Integrationmentioning

confidence: 99%

Micro/nano-scale integrated photonic devices and circuits: issues and challenges

Lee¹,

Lee²,

Beom‐Hoan³

et al. 2002

Materials and Devices for Optical and Wireless Communications

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This paper presents an overview of our study on approaching and achieving micron-scale or nano-scale integrated photonic devices and circuits. We examine the scientific and technological issues and challenges concerning the miniaturization and integration of photonic devices and circuits in micron or submicron scale. We will discuss the size effects, quantum effects, high-field effects, proximity effects, optical interference effect, nonlinear effects, and thermal effects in the process of miniaturization and integration of photonic devices and arrays. Models of our study include the devices and arrays of vertical cavity surface emitting microlasers, microdisk lasers, arrayed waveguides, micro-ring resonator devices and arrays and directional couplers, multi-mode interference devices, and spot-size converters. Issues and challenges for two-dimensional integration and three-dimensional integration are discussed based on realisitic examples. We will also discuss similar effects in micro/nano-scale electronics, so that they can provide the lessons from which the micro/nano-photonics can benefit in a complementary manner.

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“…A lot of time after that date, the gradient index glass rods was introduced as imaging devices in 1970 [2]. Since then, the GIM has been the subject of extensive research in optics, and several works have been devoted to its practical applications, e.g., in imaging, optical communication, optical sensing and optical fibre manufacturing [3][4][5]. In the past few years, the propagation properties of various model beams through GIM have been investigated including those of cosine-Gaussian beams [6], Lorentz-Gaussian beams [7], Airy-Gaussian vortex beams [8], hollow sinh-Gaussian beams [9], chirped Airy beams [10], Gaussain vortex beams [11] and higher-order cosh-Gaussian beams [12].…”

Section: Introductionmentioning

confidence: 99%

Propagation of vortex Hermite-cosh-Gaussian beams in a gradient-index medium

2022

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Based on the Huygens-Fresnel integral, the propagation equation for a vortex Hermitecosh-Gaussian beams (vHChGB) in gradient-index medium (GIM) is derived. From the obtained expression, the evolution of the intensity and the phase distributions of a vHChGB through a GIM are numerically demonstrated as a function of the gradient-index parameter  under the change of incident beam parameters. The results show that the characteristics of the output beam evolve periodically versus the propagation distance, and the period of evolution slows down when  is increased. Furthermore, it is demonstrated that the self-repeating properties of the intensity pattern and the phase distribution for the propagated vHChGB are altered by the incident beam parameters. The results obtained may be beneficial for applications in fiber communications and beam shaping.

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Gradient-index planar optics for optical interconnections

Cited by 25 publications

References 8 publications

Revival and splitting of a Gaussian beam in gradient index media

Revival and splitting of a Gaussian beam in gradient index media

Micro/nano-scale integrated photonic devices and circuits: issues and challenges

Propagation of vortex Hermite-cosh-Gaussian beams in a gradient-index medium

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