Abstract

We intent to investigate the dynamics and steering characteristics of an optical pulse propagation through photonic crystal fiber coupler (PCFC) using the projection operator method (POM) at 850 nm. For the proposed study, we begin with the analysis of silica PCFC design. From the proposed design, we examine the propagation of Gaussian pulse through PCFC, by means of coupled nonlinear Schrödinger equations. By employing POM, we derive the equations of motion describing the dynamics of the pulse parameters, called collective variables (CVs), namely the amplitude, pulse width, phase and chirp. The corresponding results obtained through POM are compared and verified numerically by split step Fourier method (SSFM). Furthermore, we propose a novel chloroform filled PCF structure that operates as a single mode at 850 nm, featuring an enhanced dispersion and nonlinearity for efficient switching, thus enabling to accomplish switching at a low input pulse power and low loss over shorter distances. Efficient optical pulse switching through both the designs are demonstrated through the simulation of the transmission curve. From the transmission curve, we infer that efficient switching can be achieved at relatively low input power in the proposed chloroform filled PCF.

© 2012 IEEE

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2010 (9)

J. R. Salgueiro, Y. S. Kivshar, "Nonlinear plasmonic directional couplers," Appl. Phys. Lett. 97, 1-3 (2010).

B. Fu, S. G. Li, Y. Y. Yao, L. Zhang, M. Y. Zhang, "Design of two kinds of dual-core high birefringence and high coupling degree photonic crystal fibers," Opt. Commun. 283, 4064-4068 (2010).

A. Martinez, F. Cuesta, J. Marti, "Ultrashort 2-D photonic crystal directional couplers," IEEE Photon. Technol. Lett. 15, 694-696 (2010).

M. Aliramezani, S. M. Nejad, "Numerical analysis and optimization of a dual-concentric-core photonic crystal fiber for broadband dispersion compensation," Opt. LaserTech. 42, 1209-1217 (2010).

R. V. J. Raja, K. Porsezian, K. Nithyanandan, "Modulational-instability-induced supercontinuum generation with saturable nonlinear response," Phys. Rev. A 82, 1-6 (2010).

H. Zhang, S. Chang, J. Yuan, D. Huang, "Supercontinuum generation in chloroform-filled photonic crystal fiber," Optik 121, 783-787 (2010).

T. Uthayakumar, C. P. Jisha, K. Porsezian, V. C. Kuriakose, "Switching dynamics of a two-dimensional nonlinear directional coupler in a photopolymer," J. Opt. 12, 1-8 (2010).

R. V. J. Raja, K. Senthilnathan, K. Porsezian, K. Nakkeeran, "Efficient pulse compression using tapered photonic crystal fiber at 850 nm," IEEE J. Quantum Electron. 46, 1795-1803 (2010).

R. V. J. Raja, K. Porsezian, S. K. Varshney, S. Sivabalan, "Modeling photonic crystal fiber for efficient soliton pulse propagation at 850 nm," Opt. Commun. 283, 5000-5006 (2010).

2009 (4)

A. Tonello, M. Szpulak, J. Olszewski, S. Wabnitz, A. B. Aceves, W. Urbanczyk, "Nonlinear control of soliton pulse delay with asymmetric dual-core photonic crystal fibers," Opt. Lett. 34, 920-922 (2009).

A. Kamagate, P. Grelu, P. T. Dinda, J. M. Soto-Crespo, N. Akhmediev, "Stationary and pulsating dissipative light bullets from a collective variable approach," Phys. Rev. E 79, 1-11 (2009).

J. Li, K. Duan, Y. Wang, X. Cao, Y. Guob, X. Lin, "Design of a single-polarization single-mode photonic crystal fiber double-core coupler," Optik 120, 490-496 (2009).

J. M. Dudley, J. R. Taylor, "Ten years of nonlinear optics in photonic crystal fibre," Nat. Photon. 3, 8590 (2009).

2008 (3)

K. R. Khan, T. X. Wu, D. N. Christodoulides, G. I. Stegeman, "Soliton switching and multi-frequency generation in a nonlinear photonic crystal fiber coupler," Opt. Exp. 16, 9417-9428 (2008).

K. R. Khan, T. X. Wu, "Short pulse propagation in wavelength selective index-guided photonic crystal fiber coupler," IEEE J. Sel. Topics Quantum Electron. 14, 752-757 (2008).

B. Kalithasan, K. Nakkeeran, K. Porsezian, P. T. Dinda, N. Mariyappa, "Ultra-short pulse propagation in birefringent fibers the projection operator method," J. Opt. A: Pure Appl. Opt. 10, 1-7 (2008).

2006 (2)

J. M. Dudley, G. Genty, S. Coen, "Supercontinuum generation in photonic crystal fiber," Rev. Mod. Phys. 78, 1135-1184 (2006).

X. Yu, M. Liu, Y. Chung, M. Yan, P. Shum, "Coupling coefficient of two-core microstructured optical fiber," Opt. Commun. 260, 164-169 (2006).

2005 (3)

K. P. Hansen, "Introduction to nonlinear photonic crystal fibers," J. Opt. Fiber Commun. Rep. 2, 226-254 (2005).

I. D. Chremmos, G. Kakarantzas, N. K. Uzunoglu, "Modeling of a highly nonlinear chalcogenide dual-core photonic crystal fiber coupler," Opt. Commun. 251, 339-345 (2005).

K. Nakkeeran, P. K. A. Wai, "Generalized projection operator method to derive the pulse parameters equations for the nonlinear Schrödinger equation," Opt. Commun. 244, 377-382 (2005).

2004 (1)

P. K. A. Wai, K. Nakkeeran, "On the uniqueness of Gaussian ansatz parameters equations: Generalized projection operator method," Phys. Lett. A 332, 239-243 (2004).

2002 (2)

B. H. Lee, J. B. Eom, J. Kim, D. S. Moon, U. Paek, G. Yang, "Photonic crystal fiber coupler," Opt. Lett. 27, 812-814 (2002).

K. Saitoh, M. Koshiba, "Full-vectorial Imaginary-Distance beam propagation method based on a finite element scheme: Application to photonic crystal fibers," IEEE J. Quantum Electron. 38, 927-933 (2002).

2001 (1)

A. B. Moubissi, K. Nakkeeran, P. T. Dinda, T. C. Kofane, "Non-lagrangian collective variable approach for optical solitons in fibres," J. Phys. A: Math. Gen. 34, 129-136 (2001).

1998 (3)

1996 (1)

R. Schiek, Y. Baek, G. Krijnen, G. I. Stegeman, I. Baumann, W. Sohler, "All-optical switching in lithium niobate directional couplers with cascaded nonlinearity," Opt. Lett. 21, 940-942 (1996).

1992 (1)

A. Villeneuve, C. C. Yang, P. G. J. Wigley, G. I. Stegeman, J. S. Aitchison, C. N. lronside, "Ultrafast all-optical switching in semiconductor nonlinear directional couplers at half the band gap," Appl. Phys. Lett. 61, 147-149 (1992).

1988 (1)

R. Boesch, P. Stancioff, C. R. Willis, "Hamiltonian equations for multiple-collective-variable theories of nonlinear Klein-Gordon equations: A projection-operator approach," Phys. Rev. B 38, 6713-6735 (1988).

1985 (1)

D. D. Gusovskii?, E. M. Dianov, A. A. Mai?er, V. B. Neustruev, E. I. Shklovskii?, I. A. Shcherbakov, "Nonlinear light transfer in tunnel-coupled optical waveguides," Sov. J. Quantum Electron. 15, 1523 (1985).

1983 (1)

D. Anderson, "Variational approach to nonlinear pulse propagation in optical fibers," Phys. Rev. A 27, 3135-3145 (1983).

1982 (1)

S. M. Jensen, "The nonlinear coherent coupler," IEEE J. Quantum Electron. 18, 1580-1583 (1982).

Appl. Phys. Lett. (2)

J. R. Salgueiro, Y. S. Kivshar, "Nonlinear plasmonic directional couplers," Appl. Phys. Lett. 97, 1-3 (2010).

A. Villeneuve, C. C. Yang, P. G. J. Wigley, G. I. Stegeman, J. S. Aitchison, C. N. lronside, "Ultrafast all-optical switching in semiconductor nonlinear directional couplers at half the band gap," Appl. Phys. Lett. 61, 147-149 (1992).

IEEE J. Quantum Electron. (1)

R. V. J. Raja, K. Senthilnathan, K. Porsezian, K. Nakkeeran, "Efficient pulse compression using tapered photonic crystal fiber at 850 nm," IEEE J. Quantum Electron. 46, 1795-1803 (2010).

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

K. R. Khan, T. X. Wu, "Short pulse propagation in wavelength selective index-guided photonic crystal fiber coupler," IEEE J. Sel. Topics Quantum Electron. 14, 752-757 (2008).

IEEE J. Quantum Electron. (2)

S. M. Jensen, "The nonlinear coherent coupler," IEEE J. Quantum Electron. 18, 1580-1583 (1982).

K. Saitoh, M. Koshiba, "Full-vectorial Imaginary-Distance beam propagation method based on a finite element scheme: Application to photonic crystal fibers," IEEE J. Quantum Electron. 38, 927-933 (2002).

IEEE Photon. Technol. Lett. (1)

A. Martinez, F. Cuesta, J. Marti, "Ultrashort 2-D photonic crystal directional couplers," IEEE Photon. Technol. Lett. 15, 694-696 (2010).

J. Opt. (1)

T. Uthayakumar, C. P. Jisha, K. Porsezian, V. C. Kuriakose, "Switching dynamics of a two-dimensional nonlinear directional coupler in a photopolymer," J. Opt. 12, 1-8 (2010).

J. Opt. A: Pure Appl. Opt. (1)

B. Kalithasan, K. Nakkeeran, K. Porsezian, P. T. Dinda, N. Mariyappa, "Ultra-short pulse propagation in birefringent fibers the projection operator method," J. Opt. A: Pure Appl. Opt. 10, 1-7 (2008).

J. Phys. A: Math. Gen. (1)

A. B. Moubissi, K. Nakkeeran, P. T. Dinda, T. C. Kofane, "Non-lagrangian collective variable approach for optical solitons in fibres," J. Phys. A: Math. Gen. 34, 129-136 (2001).

J. Opt. Fiber Commun. Rep. (1)

K. P. Hansen, "Introduction to nonlinear photonic crystal fibers," J. Opt. Fiber Commun. Rep. 2, 226-254 (2005).

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

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

S. R. Vigil, Z. Zhou, B. K. Canfield, J. Tostenrude, M. G. Kuzyk, "Dual-core single-mode polymer fiber coupler," J. Opt. Soc. Amer. B 15, 895-900 (1998).

Nat. Photon. (1)

J. M. Dudley, J. R. Taylor, "Ten years of nonlinear optics in photonic crystal fibre," Nat. Photon. 3, 8590 (2009).

Opt. Commun. (4)

X. Yu, M. Liu, Y. Chung, M. Yan, P. Shum, "Coupling coefficient of two-core microstructured optical fiber," Opt. Commun. 260, 164-169 (2006).

I. D. Chremmos, G. Kakarantzas, N. K. Uzunoglu, "Modeling of a highly nonlinear chalcogenide dual-core photonic crystal fiber coupler," Opt. Commun. 251, 339-345 (2005).

B. Fu, S. G. Li, Y. Y. Yao, L. Zhang, M. Y. Zhang, "Design of two kinds of dual-core high birefringence and high coupling degree photonic crystal fibers," Opt. Commun. 283, 4064-4068 (2010).

R. V. J. Raja, K. Porsezian, S. K. Varshney, S. Sivabalan, "Modeling photonic crystal fiber for efficient soliton pulse propagation at 850 nm," Opt. Commun. 283, 5000-5006 (2010).

Opt. Exp. (1)

K. R. Khan, T. X. Wu, D. N. Christodoulides, G. I. Stegeman, "Soliton switching and multi-frequency generation in a nonlinear photonic crystal fiber coupler," Opt. Exp. 16, 9417-9428 (2008).

Opt. Lett. (2)

R. Schiek, Y. Baek, G. Krijnen, G. I. Stegeman, I. Baumann, W. Sohler, "All-optical switching in lithium niobate directional couplers with cascaded nonlinearity," Opt. Lett. 21, 940-942 (1996).

B. H. Lee, J. B. Eom, J. Kim, D. S. Moon, U. Paek, G. Yang, "Photonic crystal fiber coupler," Opt. Lett. 27, 812-814 (2002).

Opt. Commun. (1)

K. Nakkeeran, P. K. A. Wai, "Generalized projection operator method to derive the pulse parameters equations for the nonlinear Schrödinger equation," Opt. Commun. 244, 377-382 (2005).

Opt. LaserTech. (1)

M. Aliramezani, S. M. Nejad, "Numerical analysis and optimization of a dual-concentric-core photonic crystal fiber for broadband dispersion compensation," Opt. LaserTech. 42, 1209-1217 (2010).

Opt. Lett. (2)

Optik (2)

H. Zhang, S. Chang, J. Yuan, D. Huang, "Supercontinuum generation in chloroform-filled photonic crystal fiber," Optik 121, 783-787 (2010).

J. Li, K. Duan, Y. Wang, X. Cao, Y. Guob, X. Lin, "Design of a single-polarization single-mode photonic crystal fiber double-core coupler," Optik 120, 490-496 (2009).

Phys. Rev. A (1)

D. Anderson, "Variational approach to nonlinear pulse propagation in optical fibers," Phys. Rev. A 27, 3135-3145 (1983).

Phys. Rev. E (1)

A. Kamagate, P. Grelu, P. T. Dinda, J. M. Soto-Crespo, N. Akhmediev, "Stationary and pulsating dissipative light bullets from a collective variable approach," Phys. Rev. E 79, 1-11 (2009).

Phys. Lett. A (1)

P. K. A. Wai, K. Nakkeeran, "On the uniqueness of Gaussian ansatz parameters equations: Generalized projection operator method," Phys. Lett. A 332, 239-243 (2004).

Phys. Rev. A (1)

R. V. J. Raja, K. Porsezian, K. Nithyanandan, "Modulational-instability-induced supercontinuum generation with saturable nonlinear response," Phys. Rev. A 82, 1-6 (2010).

Phys. Rev. B (1)

R. Boesch, P. Stancioff, C. R. Willis, "Hamiltonian equations for multiple-collective-variable theories of nonlinear Klein-Gordon equations: A projection-operator approach," Phys. Rev. B 38, 6713-6735 (1988).

Rev. Mod. Phys. (1)

J. M. Dudley, G. Genty, S. Coen, "Supercontinuum generation in photonic crystal fiber," Rev. Mod. Phys. 78, 1135-1184 (2006).

Sov. J. Quantum Electron. (1)

D. D. Gusovskii?, E. M. Dianov, A. A. Mai?er, V. B. Neustruev, E. I. Shklovskii?, I. A. Shcherbakov, "Nonlinear light transfer in tunnel-coupled optical waveguides," Sov. J. Quantum Electron. 15, 1523 (1985).

Other (2)

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

Comsol Multiphysics 3.4 (2008) www.comsol.com.

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