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The electromagnetic field can diverge near sharp comers separating continuous media. This is a mathematical pathology that is inherent to the assumption of local response and sharp boundaries. In the BEM, this is translated into divergences of the boundary sources near sharp corners that can cause numerical instability. In actual physical systems sharp corners do not exist, because atomic distances impose a discrete length scale. Furthermore, the assumption of local response breaks down at nonphysically small distances. By smoothing sharp corners through some rounding, these problems are solved and one finds a physical connection to the real particle behavior
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The electromagnetic field can diverge near sharp comers separating continuous media. This is a mathematical pathology that is inherent to the assumption of local response and sharp boundaries. In the BEM, this is translated into divergences of the boundary sources near sharp corners that can cause numerical instability. In actual physical systems sharp corners do not exist, because atomic distances impose a discrete length scale. Furthermore, the assumption of local response breaks down at nonphysically small distances. By smoothing sharp corners through some rounding, these problems are solved and one finds a physical connection to the real particle behavior.
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The aspect ratio is defined here as the ratio between the total length (from tip to tip) and the diameter of the rod
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The aspect ratio is defined here as the ratio between the total length (from tip to tip) and the diameter of the rod.
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