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Battling imperfections in high index-contrast systems – from Bragg fibers to planar photonic crystals. Maksim Skorobogatiy Génie Physique École Polytechnique de Montréal ( Université de Montréal) S. Jacobs, S.G. Johnson and Yoel Fink OmniGuide Communications & MIT.
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École Polytechnique de Montréal (Université de Montréal)
S. Jacobs, S.G. Johnson and Yoel Fink
OmniGuide Communications & MIT
Presented at Photonics Europe, SPIE 2004
yCoupled Mode Theory and perturbation formulations for high-index contrast waveguides
Unperturbed fiber profile
qMethod of perturbation matching
Static PMD due to profile distortions
Scattering due to stochastic profile variations
Modal Reshaping by tapering and scattering (Δm=0)
Inter-Modal Conversion (Δm≠0) by tapering and scattering
"Geometric variations in high index-contrast waveguides, coupled mode theory in curvilinear coordinates", M. Skorobogatiy, S.A. Jacobs, S.G. Johnson, and Y. Fink, Optics Express, vol. 10, pp. 1227-1243, 2002
"Dielectric profile variations in high-index-contrast waveguides, coupled mode theory, and perturbation expansions", M. Skorobogatiy, Steven G. Johnson, Steven A. Jacobs, and Yoel Fink, Physical Review E, vol. 67, p. 46613, 2003
Convergence of scattering coefficients ~ 1/N2.5
When N>10 errors are less than 1%
Transmission properties of a high index-contrast non-adiabatic taper. Independent check with CAMFR.
Convergence of scattering coefficients ~ 1/N1.5
When N>2 errors are less than 1%
Transmission properties of a high index-contrast Bragg grating. Independent check with CAMFR.
xPMD of dispersion compensating Bragg fibers
"Analysis of general geometric scaling perturbations in a transmitting waveguide. The fundamental connection between polarization mode dispersion and group-velocity dispersion", M. Skorobogatiy, M. Ibanescu, S.G. Johnson, O. Weiseberg, T.D. Engeness, M. Soljacic, S.A. Jacobs, and Y. Fink, Journal of Optical Society of America B, vol. 19, pp. 2867-2875, 2002
Iterative design of low PMD dispersion compensating Bragg fibers
Uniform perturbed waveguide (eigen problem)
Uniform unperturbed waveguide
Using the guided and evanescent modes of an unperturbed PxTal waveguide to predict eigen modes or scattering coefficients for a perturbed PxTal waveguide
Nonuniform perturbed waveguide (scattering problem)