Modeling of Kerr nonlinear photonic components with mode expansion

Maes, Björn; Bienstman, Peter; Baets, Roel

doi:10.1023/b:oqel.0000015627.57555.a0

Cited by 21 publications

(11 citation statements)

References 5 publications

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“…4 We shall exploit this peak in an actual design, to demonstrate efficient switching both with CMT and more exact simulations. [18][19][20][21][22] In Section 2 we describe the CMT calculation methods. We use this for a description of the linear spectra for both geometries in Section 3.…”

Section: Introductionmentioning

confidence: 99%

Switching in coupled nonlinear photonic-crystal resonators

2005

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Using coupled-mode theory we examine the linear and Kerr nonlinear behavior of multiple consecutive photonic-crystal switches. Two types of resonators are considered, those with the cavity inside and those adjacent to the waveguide. We observe gap solitons in both structures and examine a nonlinear mode with energy localized near the boundaries of the finite system. Finally, we propose a device with two side-coupled resonators and a judiciously chosen intercavity distance that demonstrates switching at low powers. In addition to coupled-mode theory, rigorous simulations are performed for this structure.

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Section: Introductionmentioning

confidence: 99%

Switching in coupled nonlinear photonic-crystal resonators

2005

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“…Note that we have already extended eigenmode expansion for the Kerr nonlinearity, 9 which highlights the versatility of this scheme. The SHG method is an extension of a plane-wave formalism combined with the eigenmode method.…”

Section: B Extension For Second-harmonic Generationmentioning

confidence: 80%

Modeling second-harmonic generation by use of mode expansion

2005

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We present an accurate and efficient method of modeling second-harmonic generation in two-dimensional structures by use of eigenmode expansion. By using the undepleted-pump approximation we uncouple the calculations for the fundamental and second harmonic. Expansion of the field in eigenmodes gives rise to a linear matrix formalism. The method includes reflections and is especially suited for periodic structures. Several examples, including a two-dimensional photonic-crystal-cavity device, are studied.

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“…A thorough description and study of the modeling method for finite structures are presented in Ref. 9.…”

Section: B Nonlinear Extensionmentioning

confidence: 99%

“…We recently expanded the mode expansion technique for twodimensional Kerr nonlinear structures of finite size. 9 Here we show how this algorithm can be adapted to model the self-consistent Bloch waves of infinite periodic structures. In this way we can observe the shifting of band structures with increasing amplitude.…”

Section: Introductionmentioning

confidence: 99%

Bloch modes and self-localized waveguides in nonlinear photonic crystals

2005

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We present a modeling technique that uses eigenmode expansion to simulate infinite periodic structures with Kerr nonlinearity. Using a unit cell with Bloch boundary conditions, our iterative algorithm efficiently calculates self-consistent two-dimensional Bloch modes. We show how it can be used to study the band structure of nonlinear photonic crystals and to gain rapid insight in the operation of devices. Furthermore, we present nonlinear transversely localized guided modes, which are kinds of gap solitons or intrinsic localized modes, that induce their own waveguide through a photonic crystal without linear defects.

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Modeling of Kerr nonlinear photonic components with mode expansion

Cited by 21 publications

References 5 publications

Switching in coupled nonlinear photonic-crystal resonators

Switching in coupled nonlinear photonic-crystal resonators

Modeling second-harmonic generation by use of mode expansion

Bloch modes and self-localized waveguides in nonlinear photonic crystals

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