## Abstract

Saturated absorption is studied in overtone transitions of C_{2}H_{2} and H^{13}CN molecules confined in the hollow core of a photonic bandgap fiber. The dynamics of filling and venting the fiber is markedly different for the two molecules owing to the presence of a permanent dipole moment in one of them. Saturation is observed for input power down to 10 mW, and well resolved Lamb dips limited by transit time broadening across the 10 μm core diameter are observed with a counter-propagating probe beam.

© 2005 Optical Society of America

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### Equations (5)

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(1)
$$I\left(L\right)=I\left(0\right)\mathrm{exp}\left(-\mathit{\alpha L}\right)$$
(2)
$$\alpha =N{S}_{}g\left(\nu -{\nu}_{0}\right)=\frac{p}{kT}Sg\left(\nu -{\nu}_{0}\right)$$
(3)
$$\frac{dI}{dz}=-\alpha I=\frac{{\alpha}_{0}I}{\sqrt{1+\frac{I}{{I}_{s}}}}$$
(4)
$${\alpha}_{0}L=2\left(\sqrt{1+{I}_{0}/{I}_{s}}-\sqrt{1+{I}_{L}/{I}_{s}}\right)+\mathrm{ln}\frac{(\sqrt{1+{I}_{L}/{I}_{s}}+1)\left(\sqrt{1+{I}_{0}/{I}_{s}}-1\right)}{\left(\sqrt{1+{I}_{L}/{I}_{s}}-1\right)\left(\sqrt{1+{I}_{0}/{I}_{s}}+1\right)}$$
(5)
$$\Delta \nu =0.444\frac{u}{L}$$