All-optical computation system for solving differential equations based on optical intensity differentiator

Tan, Sisi; Wu, Zhao; Lei, Lei; Hu, Shoujin; Dong, Jianji; Zhang, Chi

doi:10.1364/oe.21.007008

Cited by 45 publications

(32 citation statements)

References 13 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Various schemes have been proposed to realize all-optical ODE solvers based on semiconductor optical amplifiers (SOAs) [9,10], fiber gratings [11,12], and silicon photonic integrated circuits (PICs) [13−17]. Amongst them, the ODE solvers based on silicon PICs are very attractive since they could offer competitive advantages of micro-scale footprint, low power consumption, capability of large-scale integration, and compatibility with well-developed silicon fabrication technologies.…”

Section: Introductionmentioning

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.

View full text Add to dashboard Cite

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.

show abstract

Section: Introductionmentioning

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.

View full text Add to dashboard Cite

show abstract

“…The recent efforts to realize integrodifferential equation solver operators unveil three contemplative solutions in photonic territory. The first one requires an optical feedback loop [4,5], while the second one relies on an engineered temporal impulse response [6]. Fiber gratings [5], silicon micro-ring resonator [7], and all-optical differentiator [6] have been proposed as some candidates for implementation of these solutions.…”

Section: Introductionmentioning

confidence: 99%

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

et al. 2019

View full text Add to dashboard Cite

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.

show abstract

“…However, these bulk devices are usually more than tens of millimeters long and can hardly meet the demands in micro/nanophotonics. On the other hand, as an important optical signal processor, the notch filter-based optical differentiator has shown bright prospects in optical computation [9] and microwave photonics [10,11]. Fiber gratings based optical differentiators have been widely investigated [12].…”

Section: Introductionmentioning

confidence: 99%

Compact in-line optical notch filter based on an asymmetric microfiber coupler

et al. 2013

Self Cite

View full text Add to dashboard Cite

Novel compact in-line optical filters with narrow rejection bandwidths are proposed, and one is experimentally demonstrated based on asymmetric microfiber (MF) couplers. It is composed of silica and bismuth-oxide-glass MFs and less than 500 μm long. Single transmission dips in a wavelength range of up to 300 nm are obtained, and the transmission extinction ratio is more than 30 dB. Additionally, a -20 dB bandwidth of 0.88 nm is achieved. This narrow bandwidth of the transmission notch benefits from the huge refractive index difference between the two MFs. These experimental results agree well with the theoretical predictions. With the advantages of having a simple structure, being fiberized, and having a small footprint, this device can be an attractive element for micro/nanophotonics, optical sensing, optical signal processing, and optical fiber communications.

show abstract

All-optical computation system for solving differential equations based on optical intensity differentiator

Cited by 45 publications

References 13 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

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

Compact in-line optical notch filter based on an asymmetric microfiber coupler

Contact Info

Product

Resources

About