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This is just the statement that there is no "bath flow" anywhere (b•da=0), which is a very natural assumption in homogeneous material (its permittivity is independent of position).
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This is just the statement that there is no "bath flow" anywhere (b• da = 0), which is a very natural assumption in homogeneous material (its permittivity is independent of position).
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We are greatly indebted to S. M. Barnett's comments on this issue, in particular for pointing out the advantages of a Lorentzian cutoff.
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It could be argued that this term is not necessarily positive since it contains the factor nR (that may be negative for certain types of materials), but for nonmagnetic materials one can show that indeed nR>0ω by the following reasoning: since we are assuming εI>0, we have 00.
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It could be argued that this term is not necessarily positive since it contains the factor n R (that may be negative for certain types of materials), but for nonmagnetic materials one can show that indeed n R>0ω by the following reasoning: since we are assuming ε I > 0, we have 0 < Arg ε < π and therefore 0 < Arg n = Arg √ ε < π / 2, which proves that n R > 0.
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