By Myron W Evans
The hot version will give you the sole accomplished source on hand for non-linear optics, together with distinctive descriptions of the advances during the last decade from world-renowned experts.
summary: the recent version will give you the sole entire source on hand for non-linear optics, together with designated descriptions of the advances during the last decade from world-renowned specialists
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Example text
For a volume element dV ¼ 2pr dr d"z we first carry out the integration with respect to "z. With E0 ð"zÞ given by Eq. (117) this leads to the integrals Jz ¼ ð þ1 À1 " "z exp À2 2z0 2 #( ðsin k0"zÞ2 ðcos k0"zÞ2 ) d"z ¼ z0 1=2 p 2 ð150Þ for a small line width. Introducing the notation a0 ¼ e0 p5=2 g20 z0 pffiffiffi c2 ðk0 z0 Þ2 2 the mass becomes Jm m ¼ a0 " " Jm ¼ ð1 Wms dr ð151Þ ð152Þ 0 where Wms ¼ r½R6 þ ðy00 Þ2 R9 À ðy00 Þ4 R1 Á ½2R4 À Rðcos aÞ2 þ 2ðy00 Þ2 R ð153Þ In the rest frame K 0 the corresponding results are Jz0 ¼ z00 p1=2 ð154Þ 2 and a00 ¼ e0 p5=2 g20 z00 pffiffiffi c2 ðk00 z00 Þ2 2 k00 z00 ¼ k0 z0 ð155Þ The integrated mass in this frame becomes m0 ¼ a00 " Jm0 " Jm0 ¼ ð1 0 0 Wms dr ð156Þ where 0 Wms ¼ r½R6 þ ðy00 Þ2 R9 À ðy00 Þ4 R1 Á ½2R4 À R þ 2ðy00 Þ2 R ð157Þ optical effects of an extended electromagnetic theory 41 From expressions (128) and (143) combined with relations (144) and (148), 0 we can easily see that the integrals (152) and (156) of Wms and Wms become equal in the limit of large g.
B. 2. Since r will differ from those of the conventional EM mode in vacuo: "E but For the S mode both balance equations contain a contribution from r have no magnetic terms. For the EMS mode the momentum balance equation includes the additional forces Fe and Fm . Because of the result E Á C ¼ 0 the energy balance equation (15) of a plane EMS wave will on the other hand be the same as for the EM wave. Poynting’s theorem for the energy flow of plane waves in vacuo thus applies to the EM and EMS modes, but not to the S mode.
The Conventional Electromagnetic Mode When k Á E ¼ 0 and k  E 6¼ 0, there is a conventional EM wave with a magnetic field according to Eq. C=0 vg = C E E k B E k k B C Figure 2. The three fundamental wave types of an extended electromagnetic theory with nonzero electric field divergence in the vacuum, as demonstrated by the simple case of plane waves. 22 b. lehnert The phase and group velocities are ^ vg ¼ Æck vp ¼ Æc ^¼k k k ð51Þ ^ for its unit vector. All where k stands for the modulus of the wavenumber and k components of the electric and magnetic fields are perpendicular to the direction of propagation that is along the wave normal.