## Abstract

Photonic crystal fibers are well-known to offer a number of unusual properties, including supercontinuum generation, large mode-areas and controllable dispersion behavior. Their manufacturability would be enhanced by a more detailed understanding of how small perturbations in the fiber’s geometric structure cause variations in the fiber’s fundamental modes. In this paper, we demonstrate that such sensitivity analysis is feasible using highly accurate boundary integral techniques.

© 2004 Optical Society of America

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### Equations (4)

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(1)
$$L=\frac{20}{\mathrm{ln}\left(10\right)}\xb7\frac{2\pi}{\lambda}\xb7\Im \left({n}_{\mathit{eff}}\right)\xb7{10}^{9},$$
(2)
$$\frac{n\left(x+h\right)-n\left(x-h\right)}{2h}\approx \frac{\partial n}{\partial x}+\frac{1}{6}\frac{{\partial}^{3}n}{\partial {x}^{3}}{h}^{2}+\frac{\epsilon}{h}+\cdots $$
(3)
$${d}_{1}-0.7\Lambda ~\frac{2\frac{\partial n}{\partial {d}_{1}}}{\frac{{\partial}^{2}n}{\partial {d}_{1}^{2}}}.$$
(4)
$$\frac{{\left(x-x0\right)}^{2}}{{\left(1+\epsilon \right)}^{2}}+{\left(y-y0\right)}^{2}{\left(1+\epsilon \right)}^{2}={r}_{0}^{2}.$$