volume | PIER Journals

Abstract

We propose a kind of novel photonic crystal fibers (PCFs) based on a fiber core with arrays of subwavelength circular air holes, achieving the flexible control of the birefringence or the dispersion property of the PCFs. A highly birefringent (HB) PCF is achieved by employing arrays of subwavelength circular air hole pairs in the fiber core, which are arranged as a conventional hexagonal lattice structure with a subwavelength lattice constant. The HB-PCF is with uniform and ultrahigh birefringence (up to the order of 0.01) in a wavelength region from 1.25 μm to 1.75 μm or even a larger region, which, to the best of our knowledge, is the best birefringence property of the PCFs. A dispersion-flattened (DF) PCF with near-zero dispersion is achieved by employing arrays of subwavelength circular air holes in the fiber core arranged as a conventional hexagonal lattice structure with a subwavelength lattice constant, which contributes negative waveguide dispersion to the PCF. The proposed design of the DF-PCF provides an alternate approach for the dispersion control of the PCF. Besides the high birefringence and the flattened near-zero dispersion, the proposed PCFs with a fiber core of arrays of subwavelength circular air holes have the potential to achieve a large mode area single mode PCF.

1. Knight, J. C., T. A. Birks, P. S. J. Russell, and D. M. Atkin, "All-silica single-mode optical fiber with photonic crystal cladding," Opt. Lett., Vol. 21, 1547-1549, 1996.
doi:10.1364/OL.21.001547

2. Birks, T. A., J. C. Knight, and . S. J. Russel, "Endlessly single-mode photonic crystal fiber," Opt. Lett., Vol. 22, 961-963, 1997.
doi:10.1364/OL.22.000961

3. Knight, J. C., J. Broeng, T. A. Birks, and P. S. J. Russell, "Photonic band gap guidance in optical fibers," Science, Vol. 282, 1476-1478, 1998.
doi:10.1126/science.282.5393.1476

4. Knight, J. C. and P. S. J. Russell, "Photonic crystal fibers: New way to guide light," Science, Vol. 296, 276-277, 2002.
doi:10.1126/science.1070033

5. Knight, J. C., "Photonic crystal fibers," Nature, Vol. 424, 847-851, 2003.
doi:10.1038/nature01940

6. Shen, G.-F., X.-M. Zhang, H. Chi, and X.-F. Jin, "Microwave/millimeter-wave generation using multi-wavelength photonic crystal fiber brillouin laser," Progress In Electromagnetics Research, Vol. 80, 307-320, 2008.
doi:10.2528/PIER07112202

7. Nozhat, N. and N. Granpayeh, "Specialty fibers designed by photonic crystals," Progress In Electromagnetics Research, Vol. 99, 225-244, 2009.
doi:10.2528/PIER09092309

8. Wu, J.-J., D. Chen, K.-L. Liao, T.-J. Yang, and W.-L. Ouyang, "The optical properties of bragg fiber with a fiber core of 2-dimension elliptical-hole photonic crystal structure," Progress In Electromagnetics Research Letters, Vol. 10, 87-95, 2009.
doi:10.2528/PIERL09061804

9. Chau, Y.-F., C.-Y. Liu, H.-H. Yeh, and D. P. Tsai, "A comparative study of high birefringence and low confinement loss photonic crystal ¯ber employing elliptical air holes in fiber cladding with tetragonal lattice," Progress In Electromagnetics Research B, Vol. 22, 39-52, 2010.
doi:10.2528/PIERB10042405

10. Ortigosa-Blanch, A., J. C. Knight, W. J. Wadsworth, J. Arriaga, B. J. Mangan, T. A. Birks, and P. S. J. Russel, "Highly birefringent photonic crystal fibers," Opt. Lett., Vol. 25, 1325-1327, 2000.
doi:10.1364/OL.25.001325

11. Ademgil, H. and S. Haxha, "Highly birefringent photonic crystal fibers with ultralow chromatic dispersion and low confinement losses," J. Lightwave Technol., Vol. 26, 441-448, 2008.
doi:10.1109/JLT.2007.912508

12. Hansen, T. P., J. Broeng, S. E. B. Libori, E. Knudsen, A. Bjarklev, J. R. Jensen, and H. Simonsen, "Highly birefringent index-guiding photonic crystal fibers," IEEE Photon. Technol. Lett., Vol. 13, 588-590, 2001.
doi:10.1109/68.924030

13. Sapulak, M., G. Statkiewicz, J. Olszewski, T. Martynkien, W. Urbanczyk, J. Wojcik, M. Makara, J. Klimek, T. Nasilowski, F. Berghmans, and H. Thienpont, "Experimental and theoretical investigations of birefringent holey fibers with a triple defect," Appl. Opt., Vol. 44, 2652-2658, 2005.
doi:10.1364/AO.44.002652

14. Anthkowiak, M., R. Kotynski, T. Nasilowski, P. Lesiak, J.Wojcik, W. Urbanczyk, F. Berghmans, and H. Thienpont, "Phase and group modal birefringence of triple-defect photonic crystal fibres," J. Opt. A: Pure Appl. Opt., Vol. 7, 763-766, 2005.
doi:10.1088/1464-4258/7/12/009

15. Chen, D. and L. Shen, "Highly birefringent elliptical-hole photonic crystal fibers with double defect," J. Lightw. Technol., Vol. 25, 2700-2705, 2007.
doi:10.1109/JLT.2007.902114

16. Steel, M. J. and R. M. Osgood, "Elliptical-hole photonic crystal fibers," Opt. Lett., Vol. 26, 229-231, 2001.
doi:10.1364/OL.26.000229

17. Steel, M. J. and R. M. Osgood, "Polarization and dispersive properties of elliptical-hole photonics crystal fibers," J. Lightwave Technol., Vol. 19, 495-503, 2001.
doi:10.1109/50.920847

18. Yue, Y., G. Kai, Z. Wang, T. Sun, L. Jin, Y. Lu, C. Zhang, J. Liu, Y. Li, Y. Liu, S. Yuan, and X. Dong, "Highly birefringent elliptical-hole photonic crystal fiber with squeezed hexagonal lattice," Opt. Lett., Vol. 32, 469-471, 2007.
doi:10.1364/OL.32.000469

19. Chen, D. and L. Shen, "Ultrahigh birefringent photonic crystal fiber with ultralow confinement loss," IEEE Photon. Technol. Lett., Vol. 19, 185-187, 2007.
doi:10.1109/LPT.2006.890040

20. Agrawal, A., N. Kejalakshmy, J. Chen, B. M. A. Rahman, and K. T. V. Grattan, "Golden spiral photonic crystal fiber: Polarization and dispersion properties," Opt. Lett., Vol. 33, 2716-2718, 2008.
doi:10.1364/OL.33.002716

21. Shen, L. P., W. P. Huang, and S. S. Jian, "Design of photonic crystal fibers for dispersion-related applications," J. Lightwave Technol., Vol. 21, 1644-1651, 2003.
doi:10.1109/JLT.2003.814397

22. Ferrando, A., E. Silvestre, J. J. Miret, and P. Andres, "Nearly zero ultraflattened dispersion in photonic crystal fibers," Opt. Lett., Vol. 25, 790-792, 2000.
doi:10.1364/OL.25.000790

23. Ferrando, A., E. Silvestre, P. Andres, J. Miret, and M. Andres, "Designing the properties of dispersion-flattened photonic crystal fibers," Opt. Express, Vol. 9, 687-697, 2001.
doi:10.1364/OE.9.000687

24. Saitoh, K., M. Koshiba, T. Hasegawa, and E. Sasaoka, "Chromatic dispersion control in photonic crystal fibers: Application to ultra-flattened dispersion," Opt. Express, Vol. 11, 843-852, 2003.
doi:10.1364/OE.11.000843

25. Poletti, F., V. Finazzi, T. M. Monro, N. G. R. Broderick, V. Tse, and D. J. Richardson, "Inverse design and fabrication tolerances of ultra-flattened dispersion holey fibers," Opt. Express, Vol. 13, 3728-3736, 2005.
doi:10.1364/OPEX.13.003728

26. Gerome, F., J.-L. Auguste, and J.-M. Blondy, "Design of dispersion-compensating fibers based on a dual-concentric-core photonic crystal fiber," Opt. Lett., Vol. 29, 2725-2727, 2004.
doi:10.1364/OL.29.002725

27. Huttunen, A. and P. Torma, "Optimization of dual-core and microstructure fiber geometries for dispersion compensation and large mode area ," Opt. Express, Vol. 13, 627-635, 2005.
doi:10.1364/OPEX.13.000627

28. Varshney, S. K., T. Fujisawa, K. Saitoh, and M. Koshiba, "Design and analysis of a broadband dispersion compensating photonic crystal fiber Raman amplifier operating in S-band," Opt. Express, Vol. 14, 3528-3540, 2006.
doi:10.1364/OE.14.003528

29. Yang, S., Y. Zhang, X. Peng, Y. Lu, S. Xie, J. Li, W. Chen, Z. Jiang, J. Peng, and H. Li, "Theoretical study and experimental fabrication of high negative dispersion photonic crystal fiber with large area mode field," Opt. Express, Vol. 14, 3015-3023, 2006.
doi:10.1364/OE.14.003015

30. Ju, J., W. Jin, and M. S. Demokan, "Design of single-polarization single mode photonics crystal fibers," J. Lightwave Technol., Vol. 24, 825-830, 2001.

31. Saitoh, K. and M. Koshiba, "Single-polarization single-mode photonic crystal fibers," IEEE Photon. Technol. Lett., Vol. 15, 1384-1340, 2003.
doi:10.1109/LPT.2003.818215

32. Kubota, H., S. Kawanishi, S. Koyanagi, M. Tanaka, and S. Yamaguchi, "Absolutely single polarization photonic crystal fiber," IEEE Photon. Technol. Lett., Vol. 16, 182-184, 2004.
doi:10.1109/LPT.2003.819415

33. Knight, J. C. and D. V. Skryabin, "Nonlinear waveguide optics and photonic crystal fibers," Opt. Express, Vol. 15, 15365-15376, 2007.
doi:10.1364/OE.15.015365

34. Mortensen, N. A., M. D. Nielsen, J. R. Folkenberg, A. Petersson, and H. R. Simonsen, "Improved large-mode-area endlessly single-mode photonic crystal fibers," Opt. Lett., Vol. 28, 393-395, 2003.
doi:10.1364/OL.28.000393

35. Limpert, J., T. Schreiber, S. Nolte, H. Zellmer, T. Tunnermann, R. Iliew, F. Lederer, J. Broeng, G. Vienne, A. Petersson, and C. Jakobsen, "High-power air-clad large-mode-area photonic crystal fiber laser," Opt. Express, Vol. 11, 818-823, 2003.
doi:10.1364/OE.11.000818

36. Folkenberg, J., M. Nielsen, N. Mortensen, C. Jakobsen, and H. Simonsen, "Polarization maintaining large mode area photonic crystal fiber ," Opt. Express, Vol. 12, 956-960, 2004.
doi:10.1364/OPEX.12.000956

37. Dobb, H., K. Kalli, and D. J. Webb, "Temperature-insensitive long period grating sensors in photonic crystal fibre," Eletron. Lett., Vol. 40, 657-658, 2004.
doi:10.1049/el:20040433

38. Dong, X. and H. Y. Tam, "Temperature-insensitive strain sensor with polarization-maintaining photonic crystal fiber based on Sagnac interferometer," Appl. Phys. Lett., Vol. 90, 151113-2007.
doi:10.1063/1.2722058

39. Wadsworth, W. J., J. C. Knight, W. H. Reewes, P. S. J. Russell, and J. Arriaga, "Yb³⁺-doped photonic crystal fibre laser," Eletron. Lett., Vol. 36, 1452-1253, 2000.
doi:10.1049/el:20000942

40. Liu, X., X. Zhou, X. Tang, J. Ng, J. Hao, T. Chai, E. Leong, and C. Lu, "Swithable and tunable multiwavelength erbium-doped ¯ber laser with ¯ber Bragg grating and photonic crystal fiber ," IEEE Photon. Technol. Lett., Vol. 17, 1626-1628, 2005.
doi:10.1109/LPT.2005.851024

41. Chen, D., "Stable multi-wavelength erbium-doped fiber laser based on photonic crystal fiber Sagnac loop filter," Laser Phys. Lett., Vol. 4, 437-439, 2007.
doi:10.1002/lapl.200710003

42. Broderick, N. G. R., T. M. Monro, P. J. Bennett, and D. J. Richardson, "Nonlinearity in holey optical fbers: Measurement and future opportunities," Opt. Lett., Vol. 24, 1395-1397, 1999.
doi:10.1364/OL.24.001395

43. Zhu, Z. and T. G. Brown, "Experimental studies of polarization properties of supercontinua generated in a birefringent photonic crystal fiber," Opt. Express, Vol. 12, 791-796, 2004.
doi:10.1364/OPEX.12.000791

44. Zhu, Z. and T. G. Brown, "Polarization properties of supercontinuum spectra generated in birefringent photonic crystal fibers," J. Opt. Soc. Am. B, Vol. 21, 249-257, 2004.
doi:10.1364/JOSAB.21.000249

45. Dudley, J. M. and J. R. Taylor, "Ten years of nonlinear optics in photonic crystal fibre," Nature Photonics, Vol. 3, 85-90, 2009.
doi:10.1038/nphoton.2008.285

46. Wiederhecher, G. S., C. M. B. Cordeiro, F. Couny, F. Benabid, S. A. Maier, J. C. Knight, C. H. B. Cruz, and H. L. Fragnito, "Field enhancement within an optical fibre with a subwavelength air core," Nature Photonics, Vol. 1, 115-118, 2007.
doi:10.1038/nphoton.2006.81

47. Klocek, P., Handbook of Infrared Optical Materials, Marcel Dekker, New York, NY, 1991.

48. Meade, R. D., A. M. Rappe, K. D. Brommer, J. D. Joannopoulos, and O. L. Alerhand, "Accurate theoretical analysis of photonic band-gap matetrials," Phys. Rev. B, Vol. 48, 8434-8437, 1993.
doi:10.1103/PhysRevB.48.8434

49. Chen, D., M.-L. Vincent Tse, and H. Y. Tam, "Super-lattice structure photonic crystal fiber," Progress In Electromagnetics Research M, Vol. 11, 53-64, 2010.
doi:10.2528/PIERM09120701

Dr. Daru Chen

Dr. Ming-Leung Vincent Tse

Dr. Hwa-Yaw Tam