Extremely wideband signal shaping using one- And two-dimensional nonuniform nonlinear transmission lines

Journal of Applied Physics

Volumn 99, Issue 5, 2006, Pages

  Afshari, E ^a   Bhat, H S ^b   Hajimiri, A ^a   Marsden, J E ^c  

^a California Institute of Technology   (United States)

^b Department of Earth and Environmental Sciences   (United States)

^c CALIFORNIA INSTITUTE OF TECHNOLOGY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EXTREMELY WIDEBAND (EWB) SIGNAL SHAPING; NONLINEAR TRANSMISSION LINES; PULSE GENERATION; TWO-DIMENSIONAL TRANSMISSION LATTICE;

INTEGRATED CIRCUIT LAYOUT; MATHEMATICAL MODELS; NONLINEAR EQUATIONS; ONE DIMENSIONAL; TWO DIMENSIONAL;

ELECTRIC LINES;

EID: 33645219701     PISSN: 00218979     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.2174126     Document Type: Article

References (23)

1. I. Aoki, S. Kee, D. Rutledge, and A. Hajimiri, IEEE J. Solid-State Circuits 37, 371 (2002).
2. A. Komijani and A. Hajimiri, Proceeding of the IEEE Custom Integrated Circuits Conference, 2004 (unpublished), p. 561.
3. E. Afshari and A. Hajimiri, IEEE J. Solid-State Circuits 40, 744 (2005).
4. E Afshari and A. Hajimiri, Proceedings of the IEEE Custom Integrated Circuits Conference, 2003 (unpublished), p. 91.
5. A. C. Scott, Active and Nonlinear Wave Propagation in Electronics (Wiley, New York, 1970).
6. V. Nejoh, J. Phys. A 20, 1733 (1987).
7. H. Kaufman, IRE Trans. Antennas Propag. 3, 218 (1955).
8. P. Pantano, Lett. Nuovo Cimento 36, 209 (1983).
9. H. Ikezi, S. S. Wojtowicz, R. E. Waltz, and D. R. Baker, J. Appl. Phys. 64, 6836 (1988).
10. W.-S. Duan, Europhys. Lett, 66, 192 (2004).
11. J. N. Dinkel, C. Setzer, S, Rawal, and K. E. Lonngren, Chaos, Solitons Fractals 12, 91 (2001).
12. 2 is dimensionless, consistent with the h→0 limit of the dispersion relation that we will describe later.
13. S. Klainerman and A. Majda, Commun, Pure Appl. Math. 33, 241 (1980).
14. F. John, Nonlinear Wave Equations, Formation of Singularities, University Lecture Series Vol. 2 (American Mathematical Society, Providence, RI, 1990).
15. J. L. Bona and R. Smith, Philos. Trans. R. Soc. London, Ser. A 278, 555 (1975).
16. P. D. Lax and C. D. Levermore, Commun. Pure Appl. Math. 36, 1253 (1983).
17. A. S. Fokas and M. J. Ablowitz, Stud. Appl. Math. 80, 253 (1989).
18. R. Camassa and T. Y. Wu, Wave Motion 11, 495 (1989).
19. 2 has units of velocity squared, implying that the right-hand side of dispersion relation (30b) is also unittess, and remains so even in the h→0 limit.
20. D. J. Kaup and A. C. Newell, Proc. R. Soc. London, Ser. A 361, 413 (1978).
21. R. H. J. Grimshaw and S. R. Pudjaprasetya, Stud. Appl. Math. 112, 271 (2004).
22. SONNET software, high frequency electromagnetic software, Sonnet Technologies, Inc., 2004,; http://www.sonnetusa.com
23. Advanced Design System User Guide (Agilent Technologies, Inc., 2002).