Simulation of switchers for CNOT-gates based on optical waveguide interaction with coupled mode theory

The paper is devoted to simulation of interactions in the system of two symmetrical slab optical waveguides, that guide exactly two guided modes with the aim to use the directional coupler as a switcher for CNOT gate in the waveguide model of quantum-like computations. The coupling mode theory is used to solve the system of Maxwell equations. The asymptotic analysis is applied to simplify the system of differential equations, so an approximate analytic solution can be found. The solution obtained is used for the quick directional coupler parameters adjusting algorithm, so the power exchange in the system occurs as that of correctly working CNOT-gate switcher. Moreover, the finite difference method is used to solve the stricter system of equations, that additionally takes into account the process of power exchange between different order guided modes, so the computational error of the device can be estimated. It was obtained, that the possible size of the device may not exceed 1 mm in the largest dimension, while the computational error does not exceed 3%.

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Improved coupled-mode theory of anisotropic optical waveguides

IEEE Journal of Quantum Electronics ◽

10.1109/3.18536 ◽

1989 ◽

Vol 25 (3) ◽

pp. 249-251 ◽

Cited By ~ 3

Author(s):

T. Feng ◽

G. Feng ◽

Y. Wu ◽

P. Ye

Keyword(s):

Optical Waveguides ◽

Coupled Mode Theory ◽

Mode Theory ◽

Coupled Mode

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Numerical Analysis of Nonlinear Directional Couplers

International Journal of High Speed Electronics and Systems ◽

10.1142/s0129156497000263 ◽

1997 ◽

Vol 08 (04) ◽

pp. 665-684

Author(s):

Chih-Hsien Lai ◽

Hung-Chun Chang ◽

Jia-Pang Pang

Keyword(s):

Power Distribution ◽

Directional Coupler ◽

Power Level ◽

Local Power ◽

Segmentation Method ◽

Nonlinear Modes ◽

Coupled Mode ◽

Guided Modes ◽

Nonlinear Directional Coupler ◽

Fixed Power

The original coupled-mode theory for the nonlinear directional coupler (NLDC) and two later improved theories are reviewed and compared with the analysis using the segmentation method proposed in this work. The segmentation method is more accurate in analyzing the NLDC because it takes into account the real situation that the local nonlinear guided modes in the NLDC will vary along the propagation direction due to the accompanying variation in the local power distribution. In the coupled-mode formulations reviewed, however, either linear guided modes or nonlinear modes at a fixed power level are employed when evaluating related coupling quantities.

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Coupled-mode theory for optical waveguides: an overview

Journal of the Optical Society of America A ◽

10.1364/josaa.11.000963 ◽

1994 ◽

Vol 11 (3) ◽

pp. 963 ◽

Cited By ~ 405

Author(s):

Wei-Ping Huang

Keyword(s):

Optical Waveguides ◽

Coupled Mode Theory ◽

Mode Theory ◽

Coupled Mode

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Coupled-Mode Theory of Nonparallel Optical Waveguides

Journal of Lightwave Technology ◽

10.1109/jlt.2007.899783 ◽

2007 ◽

Vol 25 (8) ◽

pp. 2233-2235 ◽

Cited By ~ 6

Author(s):

Huawei Liang ◽

Shunxiang Shi ◽

Lin Ma

Keyword(s):

Optical Waveguides ◽

Coupled Mode Theory ◽

Mode Theory ◽

Coupled Mode

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THEORY OF PULSE PROPAGATION IN OPTICAL DIRECTIONAL COUPLERS

Journal of Nonlinear Optical Physics & Materials ◽

10.1142/s0218863505002591 ◽

2005 ◽

Vol 14 (02) ◽

pp. 133-147 ◽

Cited By ~ 9

Author(s):

KIN SENG CHIANG

Keyword(s):

Directional Coupler ◽

Pulse Propagation ◽

Coupled Mode Theory ◽

Soliton Interaction ◽

Mode Theory ◽

Pulse Switching ◽

Coupled Mode ◽

Intermodal Dispersion ◽

Experimental Works ◽

Normal Mode Theory

Since the existence of intermodal dispersion or coupling coefficient dispersion in an optical directional coupler was highlighted ten years ago, a number of theoretical studies for the understanding of the significance of this dispersion effect on pulse propagation in a directional coupler under various situations have been reported. This paper provides a review of these studies. Both the normal-mode theory and the coupled-mode theory of the coupler are described. The application of the more popular coupled-mode theory to the study of nonlinear pulse switching, soliton interaction, soliton formation, and active couplers is discussed. Experimental works are also described briefly.

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