Electro-optic modulators are fundamental components in atomic physics experiments, including trapped-ion systems used in precision metrology and quantum computing. To enable scalable photonic integration, we design and analyze an integrated photonic electro-optic phase modulator and switch at 411 nm for ytterbium () ions using aluminum nitride (AlN) waveguides. We employ finite element method (FEM) simulations to optimize optical confinement, RF impedance matching, and electro-optic modulation efficiency. The phase modulator achieves a DC of 178 V cm for TE polarization. The photonic switch, designed with a push-pull electrode configuration, demonstrates a of 24 V cm, enabling efficient operation at lower voltages. These results highlight AlN as a candidate for ultraviolet photonic integrated circuits, facilitating high-speed optical modulation for trapped-ion applications.

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