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electrostatic field analysis in dielectric body with cavity

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Figs. 9-12 are given for different values of coefficients<br />

f i ( i = 1,2,3,4) and different number of FCs.<br />

E - E / E<br />

t1 t2 0<br />

0.005<br />

0.004<br />

0.003<br />

0.002<br />

0.001<br />

N =50 e<br />

-1 -0.5 0.5 1 x/a<br />

0.0002 N e=80<br />

0.00015<br />

0.0001<br />

0.00005<br />

E t1- E t2/<br />

E0<br />

-1 -0.5 0.5 1 x/a<br />

Fig. 9 - Change of tangential component of electrostatic field at<br />

the separating surface air - dielectric body for<br />

f 1 = 0.9 , f 2 =1.2 , f3 = 0. 9 , f 4 = 1. 1<br />

and different number of fictitious charges<br />

E t1- E t2/<br />

E0<br />

0.0000175<br />

0.000015<br />

0.0000125<br />

0.00001<br />

7.5.<br />

10 -6<br />

5.<br />

10 -6<br />

.<br />

2.5 10 -6<br />

N =50 e<br />

-1 -0.5 0.5 1 x/a<br />

2.<br />

.<br />

1.5 10 - 8<br />

.<br />

110 - 8<br />

.<br />

E t1- E t2/<br />

E0<br />

10 - 8<br />

5 10 -9<br />

N =80 e<br />

-1 -0.5 0.5 1<br />

x/a<br />

Fig. 10 - Change of tangential component of electrostatic field<br />

at the separating surface air - dielectric body for<br />

f 1 = 0.8 , f 2 =1. 4 , f3 = 0.6 , f 4 =1. 2<br />

and different number of fictitious charges<br />

E t3- E t4/<br />

E0<br />

0.0175<br />

0.015<br />

N e=50<br />

0.0125<br />

0.01<br />

0.0075<br />

0.005<br />

0.0025<br />

E t3- E t4/<br />

E0<br />

0.001<br />

0.0008<br />

0.0006<br />

0.0004<br />

0.0002<br />

0.3 0.4 0.5 0.6 0.7 x/a<br />

N =80 e<br />

0.3 0.4 0.5 0.6 0.7 x/a<br />

Fig. 11 - Change of tangential component of electrostatic field<br />

at the separating surface dielectric body - cavity for<br />

f 1 = 0.9 , f 2 =1. 2 , f3 = 0.9 , f 4 =1. 1<br />

and different number of fictitious charges<br />

E t3- E t4/<br />

E0<br />

0.00025<br />

0.0002<br />

0.00015<br />

0.0001<br />

0.00005<br />

N =50 e<br />

0.3 0.4 0.5 0.6 0.7<br />

E t3- E t4/<br />

E0<br />

1.2.<br />

10 -6<br />

110 . -6 N e=80<br />

8.<br />

10 -7<br />

6.<br />

10 -7<br />

410 . -7<br />

210 . -7<br />

0.3 0.4 0.5 0.6 0.7<br />

x/a<br />

x/a<br />

Fig. 12 - Change of tangential component of electrostatic field<br />

at the separating surface dielectric body - cavity for<br />

f 1 = 0.8 , f 2 =1. 4 , f3 = 0.6 , f 4 =1. 2<br />

and different number of fictitious charges<br />

A good satisfaction of boundary condition is accomplished<br />

with increase of FCs number. However, better satisfaction<br />

of boundary condition is obtained when FCs are<br />

a little further from separating surface (Fig. 10 and Fig.

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