Generation of a train of ultrashort pulses using periodic waves in tapered photonic crystal fibres

S. O. Atubaa, K. Nakkeeran, K. W. Chow, P Ramesh Babu, A. Manimegalaid, K. Senthilnathan

Research output: Contribution to journalArticle

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Abstract

We consider a light wave propagation in tapered photonic crystal fibres (PCFs) wherein the wave propagation is described by the variable coefficient nonlinear Schrödinger equation. We solve it directly by means of the theta function identities and Hirota bilinear method in order to obtain the exact periodic waves of sn, cn and dn types. These chirped period waves demand exponential variations in both dispersion and nonlinearity. Besides, we analytically demonstrate the generation of a train of ultrashort pulses using the periodic waves by exploiting the exponentially varying optical properties of the tapered PCFs. As a special case, we discuss the chirped solitary pulses under long wave limit of these periodic waves. In addition, we derive these types of periodic waves using the self-similar analysis and compare the results.
Original languageEnglish
Pages (from-to)2246-2258
Number of pages13
JournalJournal of Modern Optics
Volume63
Issue number21
Early online date14 Jun 2016
DOIs
Publication statusPublished - 2016

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photonics
fibers
pulses
crystals
nonlinear equations
wave propagation
nonlinearity
coefficients

Keywords

  • nonlinear optics
  • photonic crystal fiber
  • pulse compression

Cite this

Generation of a train of ultrashort pulses using periodic waves in tapered photonic crystal fibres. / Atubaa, S. O.; Nakkeeran, K.; Chow, K. W.; Ramesh Babu, P; Manimegalaid, A.; Senthilnathan, K.

In: Journal of Modern Optics, Vol. 63, No. 21, 2016, p. 2246-2258.

Research output: Contribution to journalArticle

Atubaa, S. O. ; Nakkeeran, K. ; Chow, K. W. ; Ramesh Babu, P ; Manimegalaid, A. ; Senthilnathan, K. / Generation of a train of ultrashort pulses using periodic waves in tapered photonic crystal fibres. In: Journal of Modern Optics. 2016 ; Vol. 63, No. 21. pp. 2246-2258.
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abstract = "We consider a light wave propagation in tapered photonic crystal fibres (PCFs) wherein the wave propagation is described by the variable coefficient nonlinear Schr{\"o}dinger equation. We solve it directly by means of the theta function identities and Hirota bilinear method in order to obtain the exact periodic waves of sn, cn and dn types. These chirped period waves demand exponential variations in both dispersion and nonlinearity. Besides, we analytically demonstrate the generation of a train of ultrashort pulses using the periodic waves by exploiting the exponentially varying optical properties of the tapered PCFs. As a special case, we discuss the chirped solitary pulses under long wave limit of these periodic waves. In addition, we derive these types of periodic waves using the self-similar analysis and compare the results.",
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T1 - Generation of a train of ultrashort pulses using periodic waves in tapered photonic crystal fibres

AU - Atubaa, S. O.

AU - Nakkeeran, K.

AU - Chow, K. W.

AU - Ramesh Babu, P

AU - Manimegalaid, A.

AU - Senthilnathan, K.

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PY - 2016

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N2 - We consider a light wave propagation in tapered photonic crystal fibres (PCFs) wherein the wave propagation is described by the variable coefficient nonlinear Schrödinger equation. We solve it directly by means of the theta function identities and Hirota bilinear method in order to obtain the exact periodic waves of sn, cn and dn types. These chirped period waves demand exponential variations in both dispersion and nonlinearity. Besides, we analytically demonstrate the generation of a train of ultrashort pulses using the periodic waves by exploiting the exponentially varying optical properties of the tapered PCFs. As a special case, we discuss the chirped solitary pulses under long wave limit of these periodic waves. In addition, we derive these types of periodic waves using the self-similar analysis and compare the results.

AB - We consider a light wave propagation in tapered photonic crystal fibres (PCFs) wherein the wave propagation is described by the variable coefficient nonlinear Schrödinger equation. We solve it directly by means of the theta function identities and Hirota bilinear method in order to obtain the exact periodic waves of sn, cn and dn types. These chirped period waves demand exponential variations in both dispersion and nonlinearity. Besides, we analytically demonstrate the generation of a train of ultrashort pulses using the periodic waves by exploiting the exponentially varying optical properties of the tapered PCFs. As a special case, we discuss the chirped solitary pulses under long wave limit of these periodic waves. In addition, we derive these types of periodic waves using the self-similar analysis and compare the results.

KW - nonlinear optics

KW - photonic crystal fiber

KW - pulse compression

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DO - 10.1080/09500340.2016.1193638

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JO - Journal of Modern Optics

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SN - 0950-0340

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