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Silicon-based annular resonant cavity structure for solving second order differential equation

A ring resonant cavity, differential equation technology, applied in the field of optical transmission, can solve the problems of unstable consistency, many coefficient variables of differential equations, unfavorable solution of high-order differential equations, etc., to achieve the effect of reducing complexity and improving stability

Inactive Publication Date: 2015-10-21
SHANGHAI JIAO TONG UNIV
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Problems solved by technology

However, this technology requires two interference couplers to adjust the two coefficients. The differential equation has many coefficient variables and its consistency is unstable, which is not conducive to the solution of high-order differential equations.

Method used

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  • Silicon-based annular resonant cavity structure for solving second order differential equation
  • Silicon-based annular resonant cavity structure for solving second order differential equation
  • Silicon-based annular resonant cavity structure for solving second order differential equation

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Embodiment 1

[0040] Such as figure 1 As shown, this embodiment includes: a signal generating module, a resonant cavity signal solving module and a signal analyzing module, wherein: the signal generating module is connected to the input of the resonant cavity signal solving module, and the signal analyzing module is connected to the output of the resonant cavity signal solving module.

[0041] The signal generating module includes: a tunable laser 2 connected in sequence, a Gaussian pulse generating system and an electro-optical modulation system.

[0042] A polarization controller 3 is provided between the tunable laser 2 and the Gaussian pulse generating system.

[0043]The Gaussian pulse generation system includes: two Mach-Zehnder modulators 4 connected in series, two optical amplifiers 5 connected to the two Mach-Zehnder modulators 4 respectively, pulse signal generators connected to the two optical amplifiers 5 respectively device 6 and electric phase shifter 7.

[0044] A polarizat...

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Abstract

A silicon-based annular resonant cavity structure for solving a second order differential equation comprises a signal generation module, a resonant cavity signal solving module and a signal analyzing module, wherein the signal generation module is connected with an input of the resonant cavity signal solving module; the signal analyzing module is connected with an output of the resonant cavity signal solving module; and the resonant cavity signal solving module is formed by a straight waveguide and a self-coupling resonant cavity with an edge connected with the straight waveguide. The second order differential equation is solved by adjustments of coupling strength of interaction of optical models in the silicon-based annular resonant cavity; adjusting complexity is reduced; and solving process stability is improved.

Description

technical field [0001] The invention relates to a technology in the field of optical transmission, in particular to a silicon-based ring resonant cavity structure for solving second-order differential equations. Background technique [0002] Differential equations model a large number of fundamental phenomena and find relevant applications in almost all scientific and engineering principles. The constant coefficient linear ordinary differential equation is the basic differential equation used to describe the linear time-invariant system, and it is a classic model in signal and system theory. Solving ordinary differential equations has a wide range of applications in real-time signal processing, classical mechanics, control theory, chemical dynamics, and weather forecasting. Realizing the solution of ordinary differential equations in the field of optics can overcome the bandwidth bottleneck in complex optoelectronic processes, and the operating speed is many orders of magni...

Claims

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): G02F1/365
CPCG02F1/365
Inventor 周换颖吴佳旸潘听毛俊明苏翼凯
Owner SHANGHAI JIAO TONG UNIV
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