Method for analyzing multilayer nonlinear optical waveguide

Wu, Yaw‐Dong; Chen, Mao-Hsiung

doi:10.1364/opex.13.007982

Cited by 16 publications

(15 citation statements)

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“…These step-waveguide segments can be analyzed by the method proposed in Refs. [18][19][20][21]. Figure 2 shows the high-order mode converter.…”

Section: Discussionmentioning

confidence: 99%

“…The final distances D of each adjacent guiding channel can be calculated by mode theory [18][19][20][21]. The lengths of L 2 and L 4 can be determined by the branching angle and the final distances.…”

Section: Discussionmentioning

confidence: 99%

“…The device would be used in the complement operation in all-optical data computing system. We use the modal theory [18][19][20][21] to analyze the proposed structure rigorously. For reducing the calculational processes, we presented the general design principles to study this structure.…”

Section: Introductionmentioning

confidence: 99%

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A General Rule for Designing Multibranch High-Order Mode Converter

Wu¹,

Kuo²,

Chen³

et al. 2013

PIER

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Abstract-We propose a general rule that can be used to design multibranch high-order mode converters. We used the modal theory to analyze the proposed structure rigorously and presented the general principles. The well-established finite-difference beam propagation method was used to simulate the proposed device. The numerical results show that the proposed devices could really function as the alloptical mode converter device. It would be developed to quantify the applications and benefits in applications of optical signal processing and computing systems.

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“…These step-waveguide segments can be analyzed by the method proposed in Refs. [18][19][20][21]. Figure 2 shows the high-order mode converter.…”

Section: Discussionmentioning

confidence: 99%

Section: Discussionmentioning

confidence: 99%

See 1 more Smart Citation

A General Rule for Designing Multibranch High-Order Mode Converter

Wu¹,

Kuo²,

Chen³

et al. 2013

PIER

Self Cite

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“…Solving (35) with respect to 1 , taking into account the fact that 1 ⩾ 0, and substituting the result into the right-hand side of the second equation in (34), one obtains…”

Section: Nonlinear Problem: Dispersion Equations and Theorem Of Equivmentioning

confidence: 99%

“…Layered and periodic waveguides are of special interest for optical guiding industry. Since such structures play an important role in a number of applications in optics, then they compel attention of researchers [26][27][28][29][30][31][32][33][34][35].…”

Section: Introductionmentioning

confidence: 99%

Theory of Nonlinear Guided Electromagnetic Waves in a Plane Two‐Layered Dielectric Waveguide

Kurseeva

Валовик

2017

Mathematical Problems in Engineering

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Propagation of transverse electric electromagnetic waves in a homogeneous plane two-layered dielectric waveguide filled with a nonlinear medium is considered. The original wave propagation problem is reduced to a nonlinear eigenvalue problem for an equation with discontinuous coefficients. The eigenvalues are propagation constants (PCs) of the guided waves that the waveguide supports. The existence of PCs that do not have linear counterparts and therefore cannot be found with any perturbation method is proven. PCs without linear counterparts correspond to a novel propagation regime that arises due to the nonlinearity. Numerical results are also presented; the comparison between linear and nonlinear cases is made.

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Analysis of arbitrary index profile planar optical waveguides and multilayer nonlinear structures: a simple finite difference algorithm

Chaudhuri

Roy

2007

Opt Quant Electron

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we present here a simple numerical method to obtain the mode effective indices as well as field distributions of modes of any arbitrary profile planar optical waveguide. The method is based on the solutions of scalar and semivectorial Helmoltz's equation by finite difference algorithm and devised with a field convergence technique. This approach is quite general and can be applied straightforwardly to calculate the guided as well as quasior leaky modes of any arbitrary planar structure without the need to solve any eigenvalue equation or any complex matrix formalism. Besides providing the ease of application, the algorithm is particularly useful for waveguides with any graded index profile or with irregular multilayered structure and multilayered waveguides with a localised arbitrary nonlinear film. The performance of our method is verified against typical problems with analytical solutions or having results known otherwise, and is shown to yield results with good accuracy.

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Method for analyzing multilayer nonlinear optical waveguide

Cited by 16 publications

References 0 publications

A General Rule for Designing Multibranch High-Order Mode Converter

A General Rule for Designing Multibranch High-Order Mode Converter

Theory of Nonlinear Guided Electromagnetic Waves in a Plane Two‐Layered Dielectric Waveguide

Analysis of arbitrary index profile planar optical waveguides and multilayer nonlinear structures: a simple finite difference algorithm

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