1996
DOI: 10.1007/bf00347646
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Effective non-linear coefficients of optical waveguides

Abstract: Using the weakly guiding approximation, and with the assumption that the nonlinearities are sufficiently weak so as not to change the transverse mode profile, perturbation theory is used to derive simple expressions for evaluating the modal, or effective, non-linear coefficients of optical waveguide structures based on the non-linear coefficients of the constituent materials. In particular, the third-order and fifth-order optical non-linearities of refraction and absorption are discussed. The expressions are u… Show more

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Cited by 13 publications
(12 citation statements)
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“…To isolate the nonlinear behavior of the superlattice itself, it was necessary to account for the contributions from the bulk AlGaAs layers in the measured data. Using the formalism of Grant [12], the total effective change in the index of refraction due to third-order nonlinear refraction is…”
Section: Nonlinear Optical Measurementsmentioning
confidence: 99%
“…To isolate the nonlinear behavior of the superlattice itself, it was necessary to account for the contributions from the bulk AlGaAs layers in the measured data. Using the formalism of Grant [12], the total effective change in the index of refraction due to third-order nonlinear refraction is…”
Section: Nonlinear Optical Measurementsmentioning
confidence: 99%
“…However, if the optical mode is distributed in the core and cladding region, an effective n 2 is used to consider the nonlinearity from both cladding and core. Ref [4]. has derived the formula of effective n 2 for low-index contrast waveguide (n core n clad n eff ), such as optical fibers.…”
Section: Introductionmentioning
confidence: 99%
“…For a waveguide structure, Eq. (11) can also be used provided that ␣ 2,j is replaced with the effective TPA coefficient and I j is replaced with the third-order nonlinear effective intensity [20]. An intensity dependence of the refractive index in nonlinear optical media occurs through the SPM, which leads to nonlinear phase shifting and spectral broadening of optical pulses.…”
Section: Theoretical Frameworkmentioning
confidence: 99%
“…where, in a guided-wave structure, n 2,j is the effective nonlinear refraction for the harmonic j [20].…”
Section: Theoretical Frameworkmentioning
confidence: 99%