Properties of a binary photonic crystal with an inverted symmetry and a defect layer Sofyan A. Taya, Nael Doghmosh, Zaher M. Nassar, Anas A. Alkanoo and Anurag Upadhyay Eur. Phys. J. Plus, 135 11 (2020) 935 Published online: 25 November 2020 DOI: 10.1140/epjp/s13360-020-00949-w