Atomic Funnel Composed of an HE₁₁-Mode Output Hollow Beam

Using exact solutions of Maxwell equations based on the vector model, we calculate the diffracted near- and far-field distributions of the HE₁₁-mode output beam from a micron-sized hollow optical fibre under the Fresnel approximation, and compare the differences between the HE₁₁- and LP₀₁-mode output beams. Our study shows that it is unsuitable to calculate the diffracted near-field distribution of the hollow fibre by using weakly waveguiding approximation, and the near- and far-field intensity distributions of the HE₁₁-mode output beam are doughnut-like, which can be used to form a simple atomic funnel as it is blue-detuned.