2004
DOI: 10.1023/b:oqel.0000015627.57555.a0
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Modeling of Kerr nonlinear photonic components with mode expansion

Abstract: Abstract. We present a numerical method to simulate the third order Kerr effect in wavelength scale dielectric structures. The intensity dependent refractive index is modeled by a spatial grid. By performing iterative linear eigenmode calculations, this index grid converges to the rigorous continuous-wave non-linear solution. Because the underlying eigenmode tool is bidirectional, feedback effects such as bistability can be calculated. We describe the influence of grid size, quantitative agreement with the lit… Show more

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Cited by 21 publications
(11 citation statements)
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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%
“…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%
“…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%
“…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%