Abstract

Nearly pedestal-free optical pulse compression using self-similar chirped optical solitons near the photonic bandgap (PBG) structure of nonlinear fiber Bragg gratings (NFBGs) with exponentially decreasing dispersion is investigated using the generalized nonlinear coupled-mode equations (NLCMEs). The full dispersion characteristics and the effect of PBG are included. We find that the ratio of the frequency detune of the pulse's center frequency from the Bragg frequency of the NFBG to coupling coefficient of the NFBG is an important design parameter of the NFBG optical pulse compressor. We carried out a comprehensive study on the effect of the ratio of frequency detune to coupling coefficient, grating length, initial chirp, initial dispersion, and initial pulsewidth on the self-similar optical pulse compression. We also studied the compression of both the hyperbolic secant and Gaussian-shaped pulses and the effect of variation in the initial pulsewidth on the optical pulse compression.

© 2011 IEEE

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2009 (1)

Q. Li, K. Senthilnathan, K. Nakkeeran, P. K. A. Wai, "Nearly chirp- and pedestal-free pulse compression in nonlinear fiber Bragg gratings," J. Opt. Soc. Amer. B 26, 432-443 (2009).

2006 (1)

M. Centurion, M. A. Porter, P. G. Kevrekidis, D. Psaltis, "Nonlinearity management in optics: Experiment, theory, and simulation," Phys. Rev. Lett. 97, 033903-1-033903-4 (2006).

2005 (3)

W.-H. Cao, P. K. A. Wai, "Picosecond soliton transmission by use of concatenated gain-distributed nonlinear amplifying fiber loop mirrors," Appl. Opt. 44, 7611-7620 (2005).

V. I. Kruglov, A. C. Peacock, J. D. Harvey, "Exact solutions of the generalized nonlinear Schrödinger equation with distributed coefficients," Phys. Rev. E 71, 056619-1-056619-11 (2005).

C. Billet, J. M. Dudley, N. Joy, J. C. Knight, "Intermediate asymptotic evolution and photonic bandgap fiber compression of optical similaritons around 1550 nm," Opt. Exp. 13, 3236-3241 (2005).

2004 (1)

R. E. Slusher, G. Lenz, J. Hodelin, J. Sanghera, L. B. Shaw, I. D. Aggarwal, "Large Raman gain and nonlinear phase shifts in high-purity As2Se3 chalcogenide fibers," J. Opt. Soc. Amer. B 21, 1146-1155 (2004).

2003 (1)

V. I. Kruglov, A. C. Peacock, J. D. Harvey, "Exact self-similar solutions of generalized nonlinear Schrödinger equation with distributed coefficients," Phys. Rev. Lett. 90, 113902-1-113902-2 (2003).

2002 (2)

A. Maruta, T. Inoue, Y. Nonaka, Y. Yoshika, "Bisoliton propagating in dispersion-managed system and its application to high-speed and long-haul optical transmission," IEEE J. Sel. Top. Quantum Electron. 8, 640-650 (2002).

I. Towers, B. A. Malomed, "Stable $(2+1)$-dimensional solitons in a layered medium with sign-alternating Kerr nonlinearity," J. Opt. Soc. Amer. B 19, 537-543 (2002).

2000 (1)

1998 (3)

G. Lenz, B. J. Eggleton, "Adiabatic Bragg soliton compression in nonuniform grating structures," J. Opt. Soc. Amer. B 15, 2979-2985 (1998).

G. Lenz, B. J. Eggleton, "Adiabatic Bragg soliton compression in nonuniform grating structures," J. Opt. Soc. Amer. B 15, 2979-2985 (1998).

G. Lenz, B. J. Eggleton, N. Litchinitser, "Pulse compression using fiber grating as highly dispersive nonlinear elements," J. Opt. Soc. Amer. B 15, 715-721 (1998).

1997 (3)

M. Litchinitser, B. J. Eggleton, D. B. Patterson, "Fiber Bragg gratings for dispersion compensation in transmission: Theoretical model and design criteria for nearly ideal pulse compression," J. Lightw. Technol. 15, 1303-1313 (1997).

M. Asobe, "Nonlinear optical properties of chalcogenide glass fibers and their application to all-optical switching," Opt. Fiber Technol. 3, 142-148 (1997).

M. D. Pelusi, H. F. Liu, "Higher order soliton pulse compression in dispersion-decreasing optical fibers," IEEE J. Quantum Electron. 33, 1430-1439 (1997).

1996 (1)

B. J. Eggleton, R. E. Slusher, C. M. de Sterke, P. A. Krug, J. E. Sipe, "Bragg grating solitons," Phys. Rev. Lett. 76, 1627-1630 (1996).

1990 (1)

C. M. de Sterke, K. R. Jackson, B. D. Robert, "Nonlinear coupled-mode equations on a finite interval: A numerical procedure," J. Opt. Soc. Amer. B 8, 403-412 (1990).

Appl. Opt. (1)

IEEE J. Quantum Electron. (1)

M. D. Pelusi, H. F. Liu, "Higher order soliton pulse compression in dispersion-decreasing optical fibers," IEEE J. Quantum Electron. 33, 1430-1439 (1997).

IEEE J. Sel. Top. Quantum Electron. (1)

A. Maruta, T. Inoue, Y. Nonaka, Y. Yoshika, "Bisoliton propagating in dispersion-managed system and its application to high-speed and long-haul optical transmission," IEEE J. Sel. Top. Quantum Electron. 8, 640-650 (2002).

J. Opt. Soc. Amer. B (4)

I. Towers, B. A. Malomed, "Stable $(2+1)$-dimensional solitons in a layered medium with sign-alternating Kerr nonlinearity," J. Opt. Soc. Amer. B 19, 537-543 (2002).

G. Lenz, B. J. Eggleton, N. Litchinitser, "Pulse compression using fiber grating as highly dispersive nonlinear elements," J. Opt. Soc. Amer. B 15, 715-721 (1998).

C. M. de Sterke, K. R. Jackson, B. D. Robert, "Nonlinear coupled-mode equations on a finite interval: A numerical procedure," J. Opt. Soc. Amer. B 8, 403-412 (1990).

R. E. Slusher, G. Lenz, J. Hodelin, J. Sanghera, L. B. Shaw, I. D. Aggarwal, "Large Raman gain and nonlinear phase shifts in high-purity As2Se3 chalcogenide fibers," J. Opt. Soc. Amer. B 21, 1146-1155 (2004).

J. Lightw. Technol. (1)

M. Litchinitser, B. J. Eggleton, D. B. Patterson, "Fiber Bragg gratings for dispersion compensation in transmission: Theoretical model and design criteria for nearly ideal pulse compression," J. Lightw. Technol. 15, 1303-1313 (1997).

J. Opt. Soc. Amer. B (1)

Q. Li, K. Senthilnathan, K. Nakkeeran, P. K. A. Wai, "Nearly chirp- and pedestal-free pulse compression in nonlinear fiber Bragg gratings," J. Opt. Soc. Amer. B 26, 432-443 (2009).

J. Opt. Soc. Amer. B (2)

G. Lenz, B. J. Eggleton, "Adiabatic Bragg soliton compression in nonuniform grating structures," J. Opt. Soc. Amer. B 15, 2979-2985 (1998).

G. Lenz, B. J. Eggleton, "Adiabatic Bragg soliton compression in nonuniform grating structures," J. Opt. Soc. Amer. B 15, 2979-2985 (1998).

Opt. Exp. (1)

C. Billet, J. M. Dudley, N. Joy, J. C. Knight, "Intermediate asymptotic evolution and photonic bandgap fiber compression of optical similaritons around 1550 nm," Opt. Exp. 13, 3236-3241 (2005).

Opt. Fiber Technol. (1)

M. Asobe, "Nonlinear optical properties of chalcogenide glass fibers and their application to all-optical switching," Opt. Fiber Technol. 3, 142-148 (1997).

Opt. Lett. (1)

Phys. Rev. Lett. (1)

M. Centurion, M. A. Porter, P. G. Kevrekidis, D. Psaltis, "Nonlinearity management in optics: Experiment, theory, and simulation," Phys. Rev. Lett. 97, 033903-1-033903-4 (2006).

Phys. Rev. E (1)

V. I. Kruglov, A. C. Peacock, J. D. Harvey, "Exact solutions of the generalized nonlinear Schrödinger equation with distributed coefficients," Phys. Rev. E 71, 056619-1-056619-11 (2005).

Phys. Rev. Lett. (2)

B. J. Eggleton, R. E. Slusher, C. M. de Sterke, P. A. Krug, J. E. Sipe, "Bragg grating solitons," Phys. Rev. Lett. 76, 1627-1630 (1996).

V. I. Kruglov, A. C. Peacock, J. D. Harvey, "Exact self-similar solutions of generalized nonlinear Schrödinger equation with distributed coefficients," Phys. Rev. Lett. 90, 113902-1-113902-2 (2003).

Other (2)

G. P. Agrawal, Applications of Nonlinear Fiber Optics (Academic, 2001).

R. Kashyap, Fiber Bragg Gratings (Academic, 1999).

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