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Correct definition of the Poynting vector in electrically and magnetically polarizable medium reveals that negative refraction is impossible: reply Export

Opt. Express, Vol. 17, No. 17. (17 August 2009), pp. 15170-15172.

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em npv physics poynting

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1) LOSS

For the ExB continuity equation, the work done is E.J=E.dtP+E.curlM, ie it is all in terms of electric current.

For the ExH continuity equation, the work done is E.dtP+H.dtM, ie it has an electric current part (E.dtP=E.J_P) and a magnetic current part(H.dtM=H.K_M).

Markel's "no other channel" (p.2 para.3) exists, and is H.dtM; the work done on the ficticious magnentic monopole current representing the magnetization M.

For more details see "Four Poynting Theorems" Eur. J. Phys. 30, 983 (2009); http://www.citeulike.org/user/pak/article/5044532

I regret that we did not make this clear in our Comment ( http://www.citeulike.org/user/pak/article/5044560 ), but unfortunately the Optics Express "comment" process uses only independent referees, not the other authors; so we did not get the chance to adapt our Comment accordingly.


2) NPV conditions

In Markel's discussion of the Im(epsilon mu) NPV condition, he does not distinguish between doubly passive and mixed active-passive cases with net loss, or between doubly active cases and mixed active-passive cases with net gain. However, he should do so, because the NPV condition for mixed active-passive media is _not_ Im(epsilon mu).

For more details see "Criteria for negative refraction in active and passive media", P. Kinsler, M. W. McCall, Microwave Opt. Tech. Lett. 50, 1804 (2008); http://www.citeulike.org/user/pak/article/2988946

pak (public note) - 2009-08-12 11:53:22

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In this reply I argue that “the work done on the bound current densities” can not be “attributed differently”, as Favaro, Kinsler and McCall (FKM) suggest in the preceding Comment. There is a unique physically justifiable expression for this quantity, namely, Jb • E. This expression follows from the Newtonian laws of motion. Alternative forms can not be obtained by mathematically manipulating the Poynting identity. I also discuss other points raised by FKM in their Comment.


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