Journal of the European Optical Society - Rapid publications, Vol 8 (2013)

Temporal coherence shaping based on spectral-domain destructive interference of pulses with different self-phase modulations

D. Wei, K. Takamasu, H. Matsumoto


We show via a numerical simulation that the temporal coherence function (TCF) can be shaped by the destructive interference of pulses characterized by different amounts of self-phase modulation (SPM) in the spectral domain. We find that pulse spectra destructively interfering with one another can yield a TCF with distinct peaks. Numerical investigation demonstrates that the shape of the TCF is changeable not only by broadening the spectrum but also by overlapping spectra of the pulses that have experienced different amounts of SPM.

© The Authors. All rights reserved. [DOI: 10.2971/jeos.2013.13018]

Full Text: PDF

Citation Details

Cite this article


D. J. Frantzeskakis and T. Sphicopoulos, "Nonlinear self-phase modulation in optical soliton systems with lumped amplifiers," Opt. Commun. 101, 337–341 (1993).

R. R. Alfano, The supercontinuum laser source : fundamentals with updated references (Second Edition, Springer, New York, 2006).

S. Larochelle, Y. Hibino, V. Mizrahi, and G. I. Stegeman, ”All-optical switching of grating transmission using cross-phase modulation in optical fibres,” Electron. Lett. 26, 1459–1460 (1990).

G. P. Agrawal, Nonlinear fiber optics, 4th ed., Quantum electronics– principles and applications (Elsevier / Academic Press, Amsterdam/ Boston, 2007).

M. Ohta, M. Kuramoto, M. Ikeda, and H. Yokoyama, ”Extreme Nonlinear Phase Shift in Self-Pulsating Laser Diodes,” in OSA Technical Digest (CD) (Optical Society of America, 2007).

R. H. Stolen and C. Lin, ”Self-phase-modulation in silica optical fibers,” Phys. Rev. A 17, 1448–1453 (1978).

Y. Zhang, M. Sato, and N. Tanno, ”Resolution improvement in optical coherence tomography by optimal synthesis of light-emitting diodes,” Opt. Lett. 26, 205–207 (2001).

J. Gong, B. Liu, Y. L. Kim, Y. Liu, X. Li, and V. Backman, ”Optimal spectral reshaping for resolution improvement in optical coherence tomography,” Opt. Express 14, 5909–5915 (2006).

M. Enyama, and K. Hotate, ”Dynamic and random-access strain measurement by fiber Bragg gratings with synthesis of optical coherence function,” Proc. SPIE 5589, 144–153 (2004).

M. Takeda, W. Wang, Z. Duan, and Y. Miyamoto, ”Coherence holography,” Opt. Express 13, 9629–9635 (2005).

Z. Duan, Y. Miyamoto, and M. Takeda, ”Dispersion-free absolute interferometry based on angular spectrum scanning,” Opt. Express 14, 655–663 (2006).

Z. Duan, Y. Miyamoto, and M. Takeda, ”Dispersion-free optical coherence depth sensing with a spatial frequency comb generated by an angular spectrum modulator,” Opt. Express 14, 12109–12121 (2006).

M. Sato, I. Wakaki, Y. Watanabe, and N. Tanno, ”Fundamental characteristics of a synthesized light source for optical coherence tomography,” Appl. Optics 44, 2471–2481 (2005).

K. Hotate, and Z. He, ”Synthesis of Optical-Coherence Function and Its Applications in Distributed and Multiplexed Optical Sensing,” J. Lightwave Technol. 24, 2541 (2006).

M. Takeda, W. Wang, and D. Naik, ”Coherence Holography: A Thought on Synthesis and Analysis of Optical Coherence Fields,” in Fringe 2009, W. Osten and M. Kujawinska, eds., 1–8 (Springer, Berlin Heidelberg, 2009).

T. R. Taha, and M. I. Ablowitz, ”Analytical and numerical aspects of certain nonlinear evolution equations. II. Numerical, nonlinear Schrödinger equation,” J. Comput. Phys. 55, 203–230 (1984).

O. V. Sinkin, R. Holzlöhner, J. Zweck, and C. R. Menyuk, ”Optimization of the Split-Step Fourier Method in Modeling Optical-Fiber Communications Systems,” J. Lightwave Technol. 21, 61 (2003).

D. M. Nguyen, S. D. Le, G. Gueguen, D. Méchin, M. Thual, and T. Chartier, ”Numerical method for simultaneous measurement of dispersion and nonlinear coefficient in optical fibers,” Opt. Commun. 285, 1461–1465 (2012).

D. Wei, S. Takahashi, K. Takamasu, and H. Matsumoto, ”Theoretical Analysis of Length Measurement Using Interference of Multiple Pulse Trains of a Femtosecond Optical Frequency Comb,” Jpn. J. Appl. Phys. 50, 022701 (2011).

T. Tanabe, H. Tanabe, Y. Teramura, and F. Kannari, ”Spatiotemporal measurements based on spatial spectral interferometry for ultrashort optical pulses shaped by a Fourier pulse shaper,” J. Opt. Soc. Am. B 19, 2795–2802 (2002).