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Possible $2S$ and $1D$ excited $D$ and $D_s$ states are studied, the charmedstates $D(2550)^0$, $D^\ast(2600)$, $D(2750)^0$ and $D^\ast(2760)$ newlyobserved by the BaBar Collaboration are analyzed. The masses of these statesare explored within the Regge trajectory phenomenology, and the strong decaywidths are computed through the method proposed by Eichten {\it etal.}\cite{Eichten}. Both the mass and the decay width indicate that $D(2550)^0$is a good candidate of $2^1S_0$. $D^\ast(2600)$ and $D_{s1}^\ast(2700)^\pm$ arevery possible the admixtures of $2^3S_1$ and $1^3D_1$ with $J^P=1^-$ and amixing angle $\phi\approx 19^0$. $D^\ast(2760)$ and $D_{sJ}^\ast(2860)^\pm$ arepossible the $1^3D_3$ $D$ and $D_s$, respectively. $D(2750)^0$ and$D^\ast(2760)$ seem two different states, and $D(2750)^0$ is very possible the$1D(2^-, \frac{5}{2})$ though the possibility of $1D(2^-, \frac{3}{2})$ has notbeen excluded. There may exist an unobserved meson $D_{sJ}(2850)^\pm$corresponding to $D^\ast_{sJ}(2860)^\pm$.

Possible 2S and 1D charmed and charmed-strange mesons