Noise Calculation in the Semiclassical Framework: A Critical Analysis of the Monte Carlo Method and a Numerical Alternative

1. Lee, T.H.: The Design of CMOS Radio Frequency Integrated Circuits, 1st edn. Cambridge University Press, Cambridge (1998)

   Google Scholar 

2. Kogan, S.: Electronic Noise and Fluctuations in Solids. Cambridge University Press, Cambridge (1996)

   Book  Google Scholar 

3. Brunetti, R., Jacoboni, C., Nava, F., Reggiani, L., Bosman, G., Zijlstra, R.J.J.: Diffusion coefficient of electrons in silicon. J. Appl. Phys. 52, 6713–6722 (1981)

   Article  Google Scholar 

4. Moglestue, C.: Monte-Carlo particle modelling of noise in semiconductors. In: International Conference on Noise in Physical Systems and 1/f Fluctuations, pp. 23–25 (1983)

   Google Scholar 

5. Jungemann, C., Neinhüs, B., Decker, S., Meinerzhagen, B.: Hierarchical 2–D DD and HD noise simulations of Si and SiGe devices: Part II—Results. IEEE Trans. Electron Devices 49, 1258–1264 (2002)

   Article  Google Scholar 

6. Gonzalez, T., Mateos, J., Martin-Martinez, M.J., Perez, S., Rengel, R., Vasallo, B.G., Pardo, D.: Monte Carlo simulation of noise in electronic devices: limitations and perspectives. In: Proceedings of the 3rd International Conference on Unsolved Problems of Noise, pp. 496–503 (2003)

   Google Scholar 

7. Goldsman, N., Lin, C., Han, Z., Huang, C.: Advances in the spherical Harmonic-Boltzmann-Wigner approach to device simulation. Superlattices and Microstructures 27, 159–175 (2000)

   Article  Google Scholar 

8. Gnudi, A., Ventura, D., Baccarani, G., Odeh, F.: Two-Dimensional MOSFET Simulation by Means of a Multidimensional Spherical Harmonics Expansion of the Boltzmann Transport Equation. Solid–State Electron 36, 575–581 (1993)

   Article  Google Scholar 

9. Jungemann, C., Graf, P., Zylka, G., Thoma, R., Engl, W.L.: New highly efficient method for the analysis of correlation functions based on a spherical harmonics expansion of the BTE’s Green’s function. In: Proc. IWCE, Portland, Oregon, pp. 45–48 (1994)

   Google Scholar 

10. Korman, C.E., Mayergoyz, I.D.: Semiconductor noise in the framework of semiclassical transport. Phys. Rev. B 54, 17620–17627 (1996)

    Article  Google Scholar 

11. Jungemann, C., Meinerzhagen, B.: A Legendre polynomial solver for the Langevin Boltzmann equation. In: Proc. IWCE, pp. 22–23 (2004)

    Google Scholar 

12. Papoulis, A.: Probability, Random Variables, and Stochastic Processes, 4th edn. McGraw-Hill, New York (2001)

    Google Scholar 

13. Jungemann, C., Meinerzhagen, B.: Hierarchical Device Simulation, ser. In: Selberherr, S. (ed.) Computational Microelectronics. Springer, Heidelberg (2003)

    Google Scholar 

14. van Vliet, K.M.: Markov approach to density fluctuations due to transport and scattering. I. Mathematical Formalism∗. J. Math. Phys. 12, 1981–1998 (1971)

    Article  MATH  Google Scholar 

15. Bronstein, I.N., Semendjajew, K.A.: Taschenbuch der Mathematik. B. G. Teubner, Stuttgart (1991)

    Google Scholar 

16. Branin, F.H.: Network sensitivity and noise analysis simplified. IEEE Transactions on circuit theory 20, 285–288 (1973)

    Google Scholar 

17. Jungemann, C., Meinerzhagen, B.: Analysis of the stochastic error of stationary Monte Carlo device simulations. IEEE Trans. Electron Devices 48, 985–992 (2001)

    Article  Google Scholar 

18. Jungemann, C., Meinerzhagen, B.: In-advance CPU time analysis for stationary Monte Carlo device simulations. IEICE Trans. on Electronics E86-C, 314–319 (2003)

    Google Scholar 

Download references