A　new　convolutional　perfectly　matched　layer　(CPML)　for　the　fourth-order　one-step　leapfrog　hybrid　implicit　explicit　finite-difference　time-domain　(HIE-FDTD)　method　for　the　TE　case　has　been　proposed　in　this　paper.　When　the　time　step　size　satisfies　with　the　time　stability　condition,　the　maximum　reflection　error　of　the　proposed　method　is　below　-72dB,　which　demonstrates　good　absorbing　performance　of　the　CPML　method.　To　verify　the　accuracy　and　efficiency　of　the　proposed　method,　we　compare　the　results　of　the　traditional　FDTD　method　and　the　HIE-FDTD　method.　Numerical　examples　demonstrate　that　the　proposed　method　consumes　about　60.13%　less　CPU　time　than　the　traditional　FDTD　method　and　41.60%　less　CPU　time　than　the　existing　HIE-FDTD　method.　©　ACES