Compact all-optical differential-equation solver based on silicon microring resonator

Lu, Liyang; Wu, Jiayang; Wang, Tao; Su, Yikai

doi:10.1007/s12200-012-0186-9

Cited by 24 publications

(14 citation statements)

References 12 publications

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“…Compared to the second-order ODE in [14], there are additional derivative terms of the input signal in Eq. (2), thus allowing more general and versatile characterization of LTI systems.…”

Section: Device Configuration and Operation Principlementioning

confidence: 99%

On-Chip Tunable Second-Order Differential-Equation Solver Based on a Silicon Photonic Mode-Split Microresonator

Liu

Peng

et al. 2015

J. Lightwave Technol.

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We propose and experimentally demonstrate an on-chip all-optical differential-equation solver capable of solving second-order ordinary differential equations (ODEs) characterizing continuous-time linear time-invariant (LTI) systems. The photonic device is implemented by a self-coupled micro-resonator on a silicon-on-insulator (SOI) platform with mutual coupling between the cavity modes. Owing to the mutual mode coupling within the same resonant cavity, the resonance wavelengths induced by different cavity modes are self-aligned, thus avoiding precise wavelength alignment and unequal thermal wavelength drifts as in the case of cascaded resonators. By changing the mutual mode coupling strength, the proposed device can be used to solve second-order ODEs with tunable coefficients. System demonstration using the fabricated device is carried out for 10-Gb/s optical Gaussian and super-Gaussian input pulses. The experimental results are in good agreement with theoretical predictions of the solutions, which verify the feasibility of the fabricated device as a tunable second-order photonic ODE solver.

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“…Compared to the second-order ODE in [14], there are additional derivative terms of the input signal in Eq. (2), thus allowing more general and versatile characterization of LTI systems.…”

Section: Device Configuration and Operation Principlementioning

confidence: 99%

On-Chip Tunable Second-Order Differential-Equation Solver Based on a Silicon Photonic Mode-Split Microresonator

Liu

Peng

et al. 2015

J. Lightwave Technol.

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“…Polarization control is a fundamental requirement in many optical technologies [1][2][3][4][5]. Integrated polarization-selective devices based on complementary metal-oxide-semiconductor (CMOS) compatible integrated platforms [1,6,7], offering advantages of compact footprint, high stability, mass producibility and high scalability [8][9][10][11][12], are functional building blocks for photonic integrated circuits. In recent years, the huge optical anisotropy and broadband response of twodimensional (2D) materials such as graphene and transition metal dichalcogenides have been widely recognized and exploited to implement polarization-selective devices [13][14][15][16].…”

Section: Introductionmentioning

confidence: 99%

Graphene oxide (GO) 2D layered films for high efficiency integrated polarizers in ring resonators and waveguides

Moss¹,

Wu²,

Jiao³

et al. 2020

Preprint

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<p>Polarization selective devices, such as polarizers and polarization selective resonant cavities (e.g., gratings and ring resonators), are core components for polarization control in optical systems and find wide applications in polarization-division-multiplexing, coherent optical detection, photography, liquid crystal display, and optical sensing. In this paper, we demonstrate integrated waveguide polarizers and polarization-selective micro-ring resonators (MRRs) incorporated with graphene oxide (GO). We achieve highly precise control of the placement, thickness, and length of the GO films coated on integrated photonic devices by using a solution-based, transfer-free, and layer-by-layer GO coating method followed by photolithography and lift-off processes. The latter overcomes the layer transfer fabrication limitations of 2D materials and represent a significant advance towards manufacturing integrated photonic devices incorporated with 2D materials. We measure the performance of the waveguide polarizer for different GO film thicknesses and lengths versus polarization, wavelength, and power, achieving a very high polarization dependent loss (PDL) of ~ 53.8 dB. For GO-coated integrated MRRs, we achieve an 8.3-dB polarization extinction ratio between the TE and TM resonances, with the extracted propagation loss showing good agreement with the waveguide results. Furthermore, we present layer-by-layer characterization of the linear optical properties of 2D layered GO films, including detailed measurements that conclusively determine the material loss anisotropy of the GO films as well as the relative contribution of film loss anisotropy versus polarization-dependent mode overlap, to the device performance. These results offer interesting physical insights and trends of the layered GO films from monolayer to quasi bulk like behavior and confirm the high-performance of integrated polarization selective devices incorporated with GO films.</p>

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“…Fiber gratings [5], silicon micro-ring resonator [7], and all-optical differentiator [6] have been proposed as some candidates for implementation of these solutions. However, in addition to involving either a redundant loop [8] or an additional optical pump [9], the configuration of these schemes suffer from microelectronic limitations regarding operational speed, power consumption and significantly larger size, which is inappropriate in the new generation of optical systems [3,10]. Besides, the proposals in [4,5] only investigate the first-order differential equations.…”

Section: Introductionmentioning

confidence: 99%

Parallel integro-differential equation solving via multi-channel reciprocal bianisotropic metasurface augmented by normal susceptibilities

et al. 2019

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Analog optical signal processing has dramatically transcended the speed and energy limitations accompanied with its digital microelectronic counterparts. Motivated by recent metasurface's evolution, the angular scattering diversity of a reciprocal passive bianisotropic metasurface with normal polarization is utilized in this paper to design a multi-channel meta-computing surface, performing multiple advanced mathematical operations on input fields coming from different directions, simultaneously. Here, the employed ultra-thin bianisotropic metasurface computer is theoretically characterized based on generalized sheet transition conditions and susceptibility tensors. The operators of choice are deliberately dedicated to asymmetric integro-differential equations and image processing functions, like edge detection and blurring. To clarify the concept, we present several illustrative simulations whereby diverse wave-based mathematical functionalities have been simultaneously implemented without any additional Fourier lenses. The performance of the designed metasurface overcomes the nettlesome restrictions imposed by the previous analog computing proposals such as bulky profiles, asserting only single mathematical operation, and most importantly, supporting only the even-symmetric operations for normal incidences. Besides, the realization possibility of the proposed metasurface computer is conceptually investigated via picturing the angular scattering behavior of several candidate meta-atoms. This work opens a new route for designing ultra-thin devices executing parallel and accelerated optical signal/image processing.

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Compact all-optical differential-equation solver based on silicon microring resonator

Cited by 24 publications

References 12 publications

On-Chip Tunable Second-Order Differential-Equation Solver Based on a Silicon Photonic Mode-Split Microresonator

On-Chip Tunable Second-Order Differential-Equation Solver Based on a Silicon Photonic Mode-Split Microresonator

Graphene oxide (GO) 2D layered films for high efficiency integrated polarizers in ring resonators and waveguides

Parallel integro-differential equation solving via multi-channel reciprocal bianisotropic metasurface augmented by normal susceptibilities

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