By Myron W. Evans, Ilya Prigogine, Stuart A. Rice
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Extra info for Advances in Chemical Physics, Vol.119, Part 2. Modern Nonlinear Optics (Wiley 2001)
56). 3 we shall return to Poynting’s theorem in the case of axisymmetric photon wavepackets. 24 b. lehnert B. Total Reflection at a Vacuum Interface The process of total reflection of an incident wave in an optically dense medium against the interface of an optically less dense medium turns out to be of particular and renewed interest with respect to the concepts of nontransverse and longitudinal waves. In certain cases this leads to questions not being fully understood in terms of classical electromagnetic field theory .
This agrees with an earlier statement by Hu¨ tt . Turning instead to the possibility of matching the incident and reflected waves to EMS waves in the vacuum region, we consider the two cases of parallel and perpendicular polarization of the electric field of the incident wave. For an EMS wave the velocity C is now expressed by C ¼ cðcosb cos a; cos b sin a; sin bÞ ð64Þ In combination with the definitions (47) and (59), the dispersion relation (54) of this wave type yields 1 ¼ pt cos a þ rt sin a ð65Þ cos b ð66Þ qt cos a ¼ Àst sin a For the factor qt in Eq.
74)–(76) all disappear. Consequently, this branch represents a classical electromagnetic (EM) mode with vanishing electric field divergence. 30 b. lehnert 2. When D2 Er ¼ D2 Ez ¼ 0, Eqs. (77) and (79)–(81) can all be satisfied when div E 6¼ 0. This branch represents an electromagnetic space-charge (EMS) mode with nonzero electric field divergence in vacuo. These branches are now discussed for propagating modes depending on z and t as exp ½iðÀot þ kzÞ. In fact, there are a number of choices with respect to the form (70) as represented by Æ cos a and Æ sin a, and that satisfy the condition C 2 ¼ c2 of Eq.
Advances in Chemical Physics, Vol.119, Part 2. Modern Nonlinear Optics (Wiley 2001) by Myron W. Evans, Ilya Prigogine, Stuart A. Rice