Lorentz force on dielectric and magnetic particles 83 gxk2xx× 5001000150020002500300035004000 umber of Integration forgthredie ct applicationof the versest z fe ce ot er o Thegcanfin patios is the same as shown in Fig. 1. The dashed line is the force computed from the stress tensor of (9) with 100 numerical integration points on a concentric circle of radius r= 1.01a line integral applied to the stress tensor, however the resulting force is F=y21191.10-8(N/ml, thus matching the result from the Maxwell tress tensor 4. FORCE ON MULTIPLE DIELECTRIC PARTICLES The Mie theory and the Foldy-Lax multiple scattering equations are applied to calculate the force on multiple particles incident by a known electromagnetic field [8, 9. We consider the same incident field shown in Fig. 1 with two identical dielectric particles centered at (a, y)=(0, 100)nm]and (a, y)=(0, 300)[nm] as shown in Fig 4. As before, the 2-D polystyrene particles are modeled as infinite dielectric cylinders(Ep=2.56eo)in water(Eb= 1.69Eo)with radius a=0.3A The Maxwell stress tensor is applied to calculate the force on each particle by taking an integration path that just encloses each particle as shown in Fig 4. The force for the particle at(a, y)=(0, 100)[nm is F= y1.6517.108[N/m], and the force on the particle atLorentz force on dielectric and magnetic particles 833 500 1000 1500 2000 2500 3000 3500 4000 1.9 2 2.1 2.2 2.3 2.4 x 10-18 Number of Integration Points Fy [N] Figure 3. yˆ-directed force Fy versus the number of integration points for the direct application of the Lorentz force of (12). The configuration is the same as shown in Fig. 1. The dashed line is the force computed from the stress tensor of (9) with 100 numerical integration points on a concentric circle of radius R = 1.01a. line integral applied to the stress tensor, however the resulting force is F¯ = ˆy2.1191 · 10−18 [N/m], thus matching the result from the Maxwell stress tensor. 4. FORCE ON MULTIPLE DIELECTRIC PARTICLES The Mie theory and the Foldy-Lax multiple scattering equations are applied to calculate the force on multiple particles incident by a known electromagnetic field [8, 9]. We consider the same incident field shown in Fig. 1 with two identical dielectric particles centered at (x, y) = (0, 100) [nm] and (x, y) = (0, −300) [nm] as shown in Fig. 4. As before, the 2-D polystyrene particles are modeled as infinite dielectric cylinders (p = 2.560) in water (b = 1.690) with radius a = 0.3λ0. The Maxwell stress tensor is applied to calculate the force on each particle by taking an integration path that just encloses each particle as shown in Fig. 4. The force for the particle at (x, y) = (0, 100) [nm] is F¯ = ˆy1.6517 · 10−18 [N/m], and the force on the particle at