of light, which are described by the position (\[eqn:12\]). For this purpose we break the symmetry of the Bessel beams (\[eqn:41\]) along the $k_x$-axis and assume that the plane-wave components are distributed in the range $\phi\in (-\delta,\delta)$, $0<\delta <\pi$. (Such truncated azimuthal distributions can be generated via focusing by the corresponding sector of a lens [@Half].) Substitution of this distribution in Eqs. (\[eqn:12\]) and (\[eqn:13\]), or (\[eqn:36\]) and (\[eqn:A9\]), shows mutually orthogonal tilt and displacement of the beam: $$\label{eqn:46}
P_x =\gamma k_{\bot}~,~~k_\bot Y_{\ell}^{\sigma}= - \gamma \left( \ell  + \bar \sigma \frac{{\Phi _B }}{{2\pi }}\right)~.$$ Here $\gamma = (\sin\delta)/\delta$, $X(z)=z P_x/P_z$ ($P_z=k_\parallel$), and the second expression (\[eqn:46\]) closely resembles Eqs. (\[eqn:42\]) and (\[eqn:45\]). The $\ell$- and $\sigma$-dependent parts of the transverse shift of the center of gravity of the beam, $Y_{\ell}^{\sigma}$, describe the orbital and spin Hall effects of light in free space, Fig. 3. A related spin-Hall effect has been observed upon focusing of light with a “half-lens” ($\ell=0$ for $\delta=\pi/2$) [@Half], whereas the orbital-Hall effect can be measured in a similar manner by focusing vortex beams with broken symmetry. The values of $L_z$ and $S_z$ for the asymmetric beam are given by the same Eq. (\[eqn:42\]), but in this 