We have studied optical anisotropy in Ag(110) surface through interband transitions based on energy bands calculated through ab initio self-consistent method of linear muffin tin orbitals. The calculated imaginary part of the dielectric constant ${\epsilon }_2\left(\omega \right)$ shows an important anisotropy between ${\epsilon }_2^{\perp }\left(\omega \right)$ and ${\epsilon }_2^{\Vert }\left(\omega \right)$ for perpendicular and parallel to the surface polarization of light. Moreover, for ${\epsilon }_2^{\Vert }\left(\omega \right)$ there is an anisotropy between ${\epsilon }_2^x\left(\omega \right)$ and ${\epsilon }_2^y\left(\omega \right)$ when light is polarized in $\left[11¯0\right]$ and [001] directions. This latter anisotropy has been observed experimentally. Our results explain their origin through surface, subsurface, and sub-subsurface interband transitions based on first-principles calculations.

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