TY - JOUR
T1 - Complex notation for the dielectric response of ferroelectric materials beyond the small sinusoidal fields
AU - Zhou, Xin
AU - Chu, Baojin
AU - Zhang, Qiming M.
N1 - Funding Information:
Manuscript received December 21, 2005; accepted March 30, 2006. We appreciate greatly the financial support of the works reported here by ONR under Grants No. N00014-05-1-0455 and No. N00014-05-1-0541 (MURI).
Copyright:
Copyright 2011 Elsevier B.V., All rights reserved.
PY - 2006/8
Y1 - 2006/8
N2 - For the polarization response beyond the small field range, Rayleigh's law has been introduced in the past to describe the field-dependent behavior (with loss) of ferroelectric materials with some success. We examine the relationship between Rayleigh's law and the complex dielectric constant notation that has been used widely in the scientific and engineering community; and we show that a modified complex notation can describe the field-dependent dielectric response with loss in the small and medium field range quite well. In addition, the modified complex notation easily can include a field independent dielectric loss that is, in fact, present in all the dielectric materials. The results also show that the alternating current (AC) field response is still predominantly linear with the amplitude and phase of the complex coefficient changing with the applied field amplitude.
AB - For the polarization response beyond the small field range, Rayleigh's law has been introduced in the past to describe the field-dependent behavior (with loss) of ferroelectric materials with some success. We examine the relationship between Rayleigh's law and the complex dielectric constant notation that has been used widely in the scientific and engineering community; and we show that a modified complex notation can describe the field-dependent dielectric response with loss in the small and medium field range quite well. In addition, the modified complex notation easily can include a field independent dielectric loss that is, in fact, present in all the dielectric materials. The results also show that the alternating current (AC) field response is still predominantly linear with the amplitude and phase of the complex coefficient changing with the applied field amplitude.
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U2 - 10.1109/TUFFC.2006.1665112
DO - 10.1109/TUFFC.2006.1665112
M3 - Article
C2 - 16921907
AN - SCOPUS:33747435492
SN - 0885-3010
VL - 53
SP - 1540
EP - 1543
JO - IEEE transactions on ultrasonics, ferroelectrics, and frequency control
JF - IEEE transactions on ultrasonics, ferroelectrics, and frequency control
IS - 8
M1 - 1665112
ER -