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We propose two methods for the evaluation of the maximum specific absorption rate (SAR) in the human eyes due to radio-frequency exposure from handheld devices. They account for the existence of resonance in the eye and are applied to the case of near-field exposure. The first method is semi-analytical. As an input, it requires the measured or simulated open-space near field of the device under test in the absence of the eye. As an output, depending on the mutual position and orientation of the eye and the device, it produces the maximum SAR value in the eye averaged over 1 and 10 g of tissue. The second method is experimental. It requires the fabrication of a simple eye phantom and relies on a measurement with an SAR robot. The proposed methods allow for the fast and reliable SAR evaluation of newly developed handheld devices in an industrial environment. We also present results concerning the temperature rise in the eyes which utilizes a detailed simulation eye model.