We report 56% efficient external cavity resonant second harmonic generation of a diode-laser pumped, CW single-axial-mode Nd :YAG laser. A theory of external doubling with a resonant fundamental is presented and compared to experimental results for three monolithic cavities of nonlinear MgO : LiNb03. The best conversion efficiency was obtained with a 12.5 mm long monolithic ring cavity doubler,...