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4.20 F 2.0).5 Fig. 11. Plots of field(Es, Hs)and force-density (Fs, F- )distribution when Fig. 3 is incident from the free-space onto the edge (i.e, side-wall) of a dielectric half-slab Left column: p-polarization; right column: s-polarization. Both the beam center and the slab- edge are at y=0. The top row shows profiles of Hr(p-light) and Er(s-light) over a large that includes the slabs edge( dashed white lines) as well as the surrounding free-space. Th color-coded force-density plots of F,(second row)and F: (third row) also show the vector field (Fn F:) as superposed arrows. In the p-polarized case the color scale has been adjusted to exclude high force values( white)at the edges/corners of the half-slab Figure 12 shows the 2-integrated force components, JF(, r)dz and JF(, =)dz, plotted versus the y-coordinate, for the half-slab depicted in Fig. Il. For p-light the net Fy is negative, thus tending to pull the slab to the left. Also F: is seen to be negative everywhere, indicating that radiation pressure pushes the slab downward. For s-light the integrated Fy and F: show scillatory behavior between positive and negative values. Overall, however, the negative values dominate, tending to pull the slab to the left and push it downward. Setting the incident E-field amplitude to E=1000 V/m, the total integrated force(F, dyd=, JF. dyd=)on the half- slab is found to be(0.407, -1. 439)pN/m for p-light and (0.313, -1745)pN/m for s-light #6863·$1500US Received 14 January 2005; revised 15 March 2005; accepted 15 March 2005 (C)2005OSA 4 April 2005/VoL 13, No. 7/OPTICS EXPRESS 2335Fig. 11. Plots of field (Ex, Hx) and force-density (Fy, Fz) distribution when the Gaussian beam of Fig. 3 is incident from the free-space onto the edge (i.e., side-wall) of a dielectric half-slab. Left column: p-polarization; right column: s-polarization. Both the beam center and the slab￾edge are at y = 0. The top row shows profiles of Hx (p-light) and Ex (s-light) over a large area that includes the slab’s edge (dashed white lines) as well as the surrounding free-space. The color-coded force-density plots of Fy (second row) and Fz (third row) also show the vector field (Fy, Fz) as superposed arrows. In the p-polarized case the color scale has been adjusted to exclude high force values (white) at the edges/corners of the half-slab. Figure 12 shows the z-integrated force components, ∫ Fy( y, z) dz and ∫ Fz( y, z) dz, plotted versus the y-coordinate, for the half-slab depicted in Fig. 11. For p-light the net Fy is negative, thus tending to pull the slab to the left. Also Fz is seen to be negative everywhere, indicating that radiation pressure pushes the slab downward. For s-light the integrated Fy and Fz show oscillatory behavior between positive and negative values. Overall, however, the negative values dominate, tending to pull the slab to the left and push it downward. Setting the incident E-field amplitude to Eo = 1000V/m, the total integrated force (∫∫Fy dydz, ∫∫Fz dydz) on the half￾slab is found to be (−0.407, −1.439) pN/m for p-light and (−0.313, −1.745) pN/m for s-light. (C) 2005 OSA 4 April 2005 / Vol. 13, No. 7 / OPTICS EXPRESS 2335 #6863 - $15.00 US Received 14 January 2005; revised 15 March 2005; accepted 15 March 2005
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