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note
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For the estimation of the enhancement factor we preliminarily measured far-field CARS intensity of a DNA cluster with different excitation power and repetition rate, then estimated the efficiency of the CARS emission per unit volume, peak power, and repetition rate. Using the estimated efficiency, the enhancement factor was derived.
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note
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For the estimation of the excited volume we assume the tip-enhanced local excitation spot to be a sphere with 20 nm diameter centered at the tip end in which the excitation efficiency is uniform. The locally excited volume is defined as the volume overlapped by the excitation spot and the sample. In these assumptions, the excited volume is approximately a column with 2.5 nm height and 20 nm diameter.
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