Simultaneous realization of a coherent perfect absorber and laser by zero-index media with both gain and loss

This work was supported by the State Key Program for Basic Research of China (Grants No. 2014CB360505 and No. 2012CB921501), National Natural Science Foundation of China (Grants No. 11374224 and No. 61671314), King Abdullah University of Science and Technology, a Project Funded by the Priority Academic Program Development of Jiangsu Higher Education Institutions (PAPD), and the Hong Kong Research Grants Council (Grant No. AoE/P-02/12).