Chapter 6 Model Validation and Discussion
6.2 Discussion and Future Work
A premise must be emphasized again that the physical model are constructed with substrate removal for the simplification. Since the substrate coupling effect is not included in this model at this moment, the micromachined type inductor is the best test vehicle to examine this model. In comparison with the other calculations as listed in Table 2, this closed-form integral model can provide a very closely prediction with less than 2% relative deviation. Besides, it also reveals the relations between the inductor characteristics and the geometry factors and material properties of inductor. The physical parameters will allow us to optimize the inductor design. At present, the integral can only well simulate the behaviors of micromachined inductor and has its potential applications for the design of high performance RFICs due to the high quality characteristic of the inductor [20, 21]. However, we think that the integral can be further modified for general on-chip inductors by considering the affections of magnetic factor and self-resonant frequency resulted by substrate coupling effect.
In addition, based on the Boltzmann transport equation and the principle of least action, the universe formulations of prediction of self-resonant frequency and inductance might be searched out to match the nature principle of physics. Thus, the energy lose into the substrate can be only treated as a frequency-depended operator associated with geometrical and material parameters in the modeling prediction. By deeply exploring the underlying physical meaning of the Pauli spin paramagnetism at “room” temperature and the carefully calculating the energy perturbation near the Fermi surface, the physical model can have more widely utilization and compatibility of materials. Furthermore, this closed-form physical model can also potentially be utilized to modify the characteristics of spiral inductors which are constructed by nanocomposite materials. The self-resonant frequency and inductance can be exactly determined by means of the superposition of susceptibility functions of inductor itself and the nano-fillers and the geometrical parameters.
In the future, other characteristics of the on-chip inductor, such as qualify factor, energy
loss mechanics, parasitic capacitors, parasitic resistors must be developed and discussed in details. We hope that a Smith chart constructed by this model with strongly physical senses will be presented to achieve the goals of optimized designs.
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Vita and Publications
姓 名：陳健章(Chien-Chang Chen)
出生日期：中華民國七十年十二月十八日
出 生 地：中華民國花蓮縣
聯絡電話(Mobile phone)：0928-847300
電子郵件信箱(E-mail address)：[email protected]
學 經 歷(Education & Experience)：
1996.7. ~~ 1999.6. : 國立花蓮高中 (National Hen-Lian Senior High School) 1999.7. ~~ 2003.6. : 國立中央大學物理學系學士
(Department of Physics, National Central University) 2003.7. ~~ 2006.6. : 國立交通大學電子工程學系電子研究所碩士
(Department of Electronics Engineering & Institute of Electronics, National Chiao-Tung University)
發表著作(Publication)：
1. Jr-Wei Lin, C. C. Chen, J. K. Huang, and Y. T. Cheng, “An optimum design of the micromachined RF inductor,” IEEE Radio Frequency Integrated Circuits (RFIC) Symposium, pp. 639-642, Fort Worth TX, 6-8 June 2004.
2. Jr-Wei Lin, C. C. Chen, and Yu-Ting Cheng, “A robust high-Q micromachined RF inductor for RFIC applications,” IEEE Transactions on Electron Devices, pp. 1489-1496, Vol. 52, 2005.
3. C. C. Chen, J. K. Huang, and Y. T. Cheng, “A closed-form integral model of spiral inductor using the Kramers-Kronig relations,” IEEE Microwave and Wireless Components Letters, pp.778-780, Vol. 15, 2005.