Volterra series usefulness in modelling of the time-domain cross-talk phenomena in coupled microstrip lines with nonlinear termination
✍ Scribed by Andrzej S. Cimiński; Bogdan J. Janiczak
- Publisher
- John Wiley and Sons
- Year
- 2005
- Tongue
- English
- Weight
- 185 KB
- Volume
- 47
- Category
- Article
- ISSN
- 0895-2477
No coin nor oath required. For personal study only.
✦ Synopsis
0.17, that is, neither constituent phase supports NPV propagation. In contrast, HCM is negative-valued for 0.28 Ͻ f a Ͻ 0.92. Thus, we see that the HCM supports NPV propagation across a wide range of volume fractions.
3. CONCLUDING REMARKS
In answer to the question in posed section 1: an HCM which supports NPV propagation, arising from constituent material phases which do not support NPV propagation, may be conceptualized through homogenizing components with Re{ a,b } Ͻ 0. In view of Eq. ( 1), it may be inferred that the prospects for NPV propagation are increased through considering constituent phases with relatively small Im{ a,b } and relatively large Im{ a,b }.
Since the relative permittivities and relative permeabilities are decoupled within the Bruggeman formalism, our demonstration using Case I also holds for Case II. However, we note that, in practice, suitable materials with Re{ a,b } Ͻ 0 may be more readily available than those with Re{ a,b } Ͻ 0.