3.10 Periodic Extension and Compression
In this section we consider the effect of the distributed body force f in Eq. (3.109) 1
[6]. As an example, consider the case of a rod under a sinusoidal distribution of
f described by f ¼ B sin ξx where B and ξ are constants. For an n-type rod with p ffi 0,
it is straightforward to find the corresponding fields from Eqs. (3.118), (3.119),
(3.20), (3.21), and (3.122) as
F
F
2b
x
a
a
F
F
Fig. 3.14 A piezoelectric
semiconductor rod under
two local pairs of
concentrated forces
Fig. 3.15 Fields for different n 0 . F ¼ 8.5 nN. (a) Effective polarization charge density ρ
P
. (b)
Electron concentration perturbation Δn. (c) Electric potential φ
3.10 Periodic Extension and Compression
59