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We visualized electromagnetic-energy flows by using newly developed electro-optic probes, which cause little interference with the surrounding electromagnetic fields. Amplitudes and phases of all electric- and magnetic-field components were measured near a coupled line and a patch antenna by the probes. The time-varying Poynting vectors near the objects were evaluated with the data and were visualized. The energy flows that are caused by crosstalk of the coupled line and that are radiated from the antenna are presented. This is the first visualization of Poynting vectors that are evaluated with only experimental data in near-field regions.