Ultrafast analog Fourier transform using 2-D LC lattice

IEEE Transactions on Circuits and Systems I: Regular Papers

Volumn 55, Issue 8, 2008, Pages 2332-2343

  Afshari, Ehsan ^a   Bhat, Harish S ^b   Hajimiri, Ali ^c  

^a School of Operations Research and Industrial Engineering   (United States)

^b UNIVERSITY OF CALIFORNIA   (United States)

^c California Institute of Technology   (United States)

Author keywords

Discrete Fourier transforms; Lattice circuits; Physical theory of diffraction; Planar transmission lines; Ultra fast analog signal processing

Indexed keywords

DIFFRACTION; LATTICE THEORY; LENSES; SIGNAL PROCESSING; TIMING CIRCUITS;

ANALOG SIGNAL PROCESSING; ARBITRARY INPUTS; INPUT VECTOR; LATTICE CIRCUITS; OPTICAL EFFECTS; PHYSICAL THEORY OF DIFFRACTION; PLANAR TRANSMISSION LINES; RECTANGULAR LATTICES; ULTRA-FAST; ULTRA-FAST ANALOG SIGNAL PROCESSING;

DISCRETE FOURIER TRANSFORMS;

EID: 54749108789     PISSN: 10577122     EISSN: None     Source Type: Journal    
DOI: 10.1109/TCSI.2008.918151     Document Type: Article

References (16)

1. E. Afshari, H. S. Bhat, A. Hajimiri, and J. E. Marsden, "Extremely wideband signal shaping using one- and two-dimensional nonuniform nonlinear transmission lines," J. Appl. Phys., vol. 99, no. 5, p. 054901, 2006.
2. E. Afshari, H. S. Bhat, X. Li, and A. Hajimiri, "Electrical Funnel: A new signal combining method," in Proc. IEEE Int. Solid-State Circuits Conf. (ISSCC'06), San Francisco, CA, Feb. 2006, pp. 206-208.
3. M. Born and E. Wolf, Principles of Optics, 7th ed. Cambridge, U.K.: Cambridge Univ. Press, 1999.
4. J. W. Goodman, Introduction to Fourier Optics, 3rd ed. Greenwood Village, CO: Roberts, 2004.
5. C. J. Bouwkamp, "Diffraction theory," Rep. Prog. Phys., vol. 17, pp. 35-100, 1954.
6. J. J. Stamnes, "Focusing of two-dimensional waves," J. Opt. Soc. Am., vol. 71, no. 1, pp. 15-31, 1981.
7. J. J. Stamnes, Waves in Focal Regions. Bristol, U.K., Hilger, 1986.
8. J. J. Stamnes and H. A. Eide, "Exact and approximate solutions for focusing of two-dimensional waves - I: Theory," J. Opt. Soc. Amer. A vol. 15, no. 5, pp. 1285-1291, 1998.
9. H. A. Eide and J. J. Stamnes, "Exact and approximate solutions for focusing of two-dimensional waves - II: Numerical comparisons among exact, Debye, and Kirchhoff theories," J. Opt. Soc. Amer. A, vol. 15, no. 5, pp. 1292-1307, 1998.
10. H. A. Eide and J. J. Stamnes, "Exact and approximate solutions for focusing of two-dimensional waves. III. Numerical comparisons between exact and Rayleigh-Sommerfeld theories," J. Opt. Soc. Amer. A, vol. 15, no. 5, pp. 1308-1319, 1998.
11. A. C. Green, H. L. Bertoni, and L. B. Felsen, "Properties of the shadow cast by a half-screen when illuminated by a Gaussian beam," J. Opt. Soc. Amer., vol. 69, no. 11, pp. 1503-1508, 1979.
12. S. L. Dvorak and H.-Y. Pao, "A new solution for the problem of plane wave diffraction by a 2-D aperture in a ground plane," IEEE Trans. Antennas Propagat., vol. 53, no. 7, pp. 2299-2306, Jul. 2005.
13. J. B. Keller, "Diffraction by an aperture," J. Appl. Phys., vol. 28, no. 4, pp. 426-444, 1957.
14. J. B. Keller, R. M. Lewis, and B. D. Seckler, "Diffraction by an aperture. II," J. Appl. Phys., vol. 28, no. 5, pp. 570-579, 1957.
15. L. Brillouin, Wave Propagation in Periodic Structures. Electric Filters and Crystal Lattices, ser. International Series in Pure and Applied Physics. New York: McGraw-Hill, 1946.
16. Ansoft, "High-Frequency Structure Simulator: High Frequency Electromagnetic Simulator Ansoft. Pittsburgh, PA, 2006 [Online]. Available: http://www.ansoft.com/products/hf/hfss/