Digital Signal Processing Reference
In-Depth Information
ELECTRICAL PROPERTIES
OF DIELECTRICS
6.1 Polarization of dielectrics
250
6.1.1 Electronic polarization
250
6.1.2 Orientational (dipole) polarization
253
6.1.3 Ionic (molecular) polarization
253
6.1.4 Relative permittivity
254
6.2 Classification of dielectric materials
256
6.3 Frequency-dependent dielectric behavior
256
6.3.1 Dc dielectric losses
257
6.3.2 Frequency-dependent dielectric model: single pole
257
6.3.3 Anomalous dispersion
261
6.3.4 Frequency-dependent dielectric model: multipole
262
6.3.5 Infinite-pole model
266
6.4 Properties of a physical dielectric model
269
6.4.1 Relationship between ε and ε
269
6.4.2 Mathematical limits
271
6.5 Fiber-weave effect
274
6.5.1 Physical structure of an FR4 dielectric and dielectric constant
variation
275
6.5.2 Mitigation
276
6.5.3 Modeling the fiber-weave effect
277
6.6 Environmental variation in dielectric behavior
279
6.6.1 Environmental effects on transmission-line performance
281
6.6.2 Mitigation
283
6.6.3 Modeling the effect of relative humidity on an FR4 dielectric
284
6.7 Transmission-line parameters for lossy dielectrics and realistic conductors
285
6.7.1 Equivalent circuit, impedance, and propagation constant
285
6.7.2 Telegrapher's equations for realistic conductors and lossy dielectrics
291
References
292
Problems
292
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