Errata: A Comprehensive Multipolar Theory for Periodic Metasurfaces

This correction refers to the article titled “A Comprehensive Multipolar Theory for Periodic Metasurfaces”^[1] published in Advanced Optical Materials in March 2022.

• a) On page 12, in Equation (26), +r_TE should be changed to −r_TE. The correct equation is:
  $$t_{\mathrm{TE}}=1-r_{\mathrm{TE}}=1-\frac{3}{4\pi {\stackrel{\sim }{\mathrm{\Lambda }}}^2}\left(\frac{1}{1/b_1-\mathrm{i}{C}_{\mathrm{dd}}}\right)$$(1)
• b) In Section 3.5, paragraph two, the normalized periodicity should change from 1 to 1.12. The correct equation is:
  $$\stackrel{\sim }{\mathrm{\Lambda }}=\mathrm{\Lambda }/\lambda =1.12$$(2)
  This value is correctly noted in paragraph 3.
• c) In Appendix B, in Equation (B1a) there should be no tilde on the left side of the equation. The correct equation is:
  $${\overline{\overline{\alpha }}}_{j{j}^{\prime }}^{v{v}^{\prime }}=\frac{{\zeta }_j{\zeta }_{j^{\prime }}}{k^{j+j^{\prime }+1}}{\overline{\overline{\stackrel{\sim }{\alpha }}}}_{j{j}^{\prime }}^{v{v}^{\prime }}$$(3)
• d) In Appendix F, in Equation (F3), we erroneously formulated the rotation matrix $\overline{\overline{R}}$. The correct formulation of (F3) is:
  (4)

These corrections do not affect the results or the figures, as the mistakes were only present in the manuscript's text. We apologize for any inconvenience these typos may have caused the readers.