Real-Time Optical Spectrum Analysis Based on the Time-Space Duality in Chirped Fiber Gratings

IEEE Journal of Quantum Electronics

Volumn 36, Issue 5, 2000, Pages 517-525

  Azaña, José ^a   Muriel, Miguel A ^a  

^a UNIVERSIDAD POLITÉCNICA DE MADRID   (Spain)

Author keywords

Fourier transforms; Gratings; Optical fiber devices; Optical fibers; Time domain analysis; Transient propagation

Indexed keywords

EID: 0000306563     PISSN: 00189197     EISSN: None     Source Type: Journal    
DOI: 10.1109/3.842092     Document Type: Article

References (28)

1. E. B. Treacy, "Optical pulse compression with diffraction gratings," IEEE J. Quantum Electron., vol. QE-5, pp. 454-458, Sept. 1969.
2. A. Papoulis, "Pulse compression, fiber communications, and diffraction: A unified approach," J. Opt. Soc. Amer. A, vol. 11, no. 1, pp. 3-13, January 1994.
3. B. H. Kolner, "Space-time duality and the theory of temporal imaging," IEEE J. Quantum Electron., vol. 30, pp. 1951-1963, Aug. 1994.
4. T. Jannson and J. Jannson, "Temporal self-imaging effect in single-mode fibers," J. Opt. Soc. Amer., vol. 71, no. 11, pp. 1373-1376, November 1981.
5. B. E. A. Saleh and M. I. Irshid, "Collet-Wolf equivalence theorem and propagation of a pulse in a single-mode optical fiber," Opt. Lett., vol. 7, no. 7, pp. 342-343, 1982.
6. T. Jannson, "Real-time Fourier transformation in dispersive optical fibers," Opt. Lett., vol. 8, no. 4, pp. 232-234, 1983.
7. B. H. Kolner and M. Nazarathy, "Temporal imaging with a time lens," Opt. Lett., vol. 14, no. 12, pp. 630-632, 1989.
8. _, "Temporal imaging with a time lens: Erratum," Opt. Lett., vol. 15, no. 11, p. 655, 1990.
9. M. T. Kauffman, A. A. Godil, B. A. Auld, W. C. Banyai, and D. M. Bloom, "Applications of time lens optical systems," Electron Lett., vol. 29, no. 3, pp. 268-269, 1993.
10. C. V. Bennet, R. P. Scott, and B. H. Kolner, "Temporal magnification and reversal of 100 Gb/s optical data with an up-conversion time microscope," Appl. Phys. Lett., vol. 65, no. 20, pp. 2513-2515, 1994.
11. A. W. Lohmann and D. Mendlovic, "Temporal filtering with time lenses," Appl. Opt., vol. 31, no. 29, pp. 6212-6219, 1992.
12. M. A. Muriel, J. Azaña, and A. Carballar, "Real-time Fourier transformer based on fiber gratings," Opt. Lett., vol. 24, no. 1, pp. 1-3, 1999.
13. J. Azaña, L. R. Chen, M. A. Muriel, and P. W. E. Smith, "Experimental demonstration of real-time Fourier transformation using linearly chirped fiber Bragg gratings," Electron Lett., vol. 35, no. 25, pp. 2223-2224, 1999.
14. J. Azaña and M. A. Muriel, "Technique for multiplying the repetition rates of periodic trains of pulses by means of a temporal self-imaging effect in chirped fiber gratings," Opt. Lett., vol. 24, no. 23, pp. 1672-1674, 1999.
15. _, "Temporal talbot effect in fiber gratings and its applications," Appl. Opt., vol. 38, no. 32, pp. 6700-6704, 1999.
16. J. Kuhl and J. Heppner, "Compression of femtosecond optical pulses with dielectric multilayer interferometers," IEEE J. Quantum Electron., vol. QE-22, pp. 182-185, Jan. 1986.
17. O. E. Martínez, "3000 times grating compressor with positive group velocity dispersion: Application to fiber compensation in 1.3-1.6 μm region," IEEE J. Quantum Electron., vol. QE-23, pp. 59-64, Jan. 1987.
18. F. Oullette, J.-F. Cliche, and S. Gagnon, "All-fiber devices for chromatic dispersion compensation based on chirped distributed resonant coupling," J. Lightwave Technol., vol. 12, pp. 1728-1738, Oct. 1994.
19. F. Ouellette, "Dispersion cancellation using linearly chirped Bragg grating filters in optical waveguides," Opt. Lett., vol. 12, no. 10, pp. 847-849, 1987.
20. _, "All-fiber filter for efficient dispersion compensation," Opt. Lett., vol. 16, no. 5, pp. 303-305, 1991.
21. N. M. Litchinitser, B. J. Eggleton, and D. B. Patterson, "Fiber Bragg gratings for dispersion compensation in transmission: Theoretical model and design criteria for nearly ideal pulse recompression," J. Lightwave Technol., vol. 15, pp. 1303-1313, Aug. 1997.
22. S. Qian and D. Chen, Joint Time-Frequency Analysis: Methods and Applications. Englewood Cliffs, NJ: Prentice-Hall, 1996.
23. L. Cohen, Time-Frequency Analysis. Englewood Cliffs, NJ: Prentice-Hall, 1995.
24. J. W. Goodman, Introduction to Fourier Optics, 2nd ed, New York: McGraw-Hill, 1996.
25. M. A. Muriel, A. Carballar, and J. Azaña, "Field distributions inside fiber gratings," IEEE J. Quantum Electron., vol. 35, pp. 548-558, Apr. 1999.
26. K. Ennser, M. N. Zervas, and R. Laming, "Optimization of apodized linearly chirped fiber gratings for optical communications," IEEE J. Quantum Electron., vol. 34, pp. 770-778, May 1998.
27. K. Ennser, R. I. Laming, M. N. Zervas, M. Ibsen, and M. Durkin, "Effects of nonideal group delay and reflection characteristics of fiber grating dispersion compensators," in Proc. Eur. Conf. Optical Communications, 1997 (ECOC'97), vol. 2, pp. 45-48.
28. L. R. Chen, S. D. Benjamin, P. W. E. Smith, and J. E. Sipe, "Applications of ultrashort pulse propagation in Bragg gratings for wavelength-division multiplexing and code-division multiple access," IEEE J. Quantum Electron., vol. 34, pp. 2117-2129, Nov. 1998.