crystal thin film has been investigated to realize electro-optic (EO) devices due to its ultrahigh EO effect, but not much research has been focused on the correct axis orientation and EO coefficient. In this Letter, with a crystal film grown by pulse laser deposition technique on MgO crystal substrate, an embedded device configuration having the two-step etched waveguide/electrode scheme is designed to reach a high optic-electrical field interaction efficiency, and a 45° outside electric field with an in-plane axis is set to fit the possibility of the a-axis or c-axis orientation of the crystal film. Then, through a poling process to the sample, the , , and EO modulations of linear polarization are implemented at 4.9, 9.3, and 11.8 V, respectively, and a decremental voltage period is found. Thereby, a c-axis oriented crystal film is determined, so that the nonlinear modulation equation is exploited. Finally, with an overlap of , , and modulations, the coherent EO coefficient and birefringence of 606 pm/V and are obtained, resulting in one value of 68 ().
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27 August 2019: A typographical correction was made to Refs. 12 and 13.
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