Abstract

In this work, we optimize the structure of the photonic crystal fibers by using genetic algorithms to provide strong light confinement in fiber and small half diffraction angle of output beam. Furthermore, this article shows the potentials of this study, such as optimizing three purposes at the same time and the arbitrary structure design is achieved. We report two optimized results obtained by different optimization conditions. The results show that the half diffraction angle of the output beam of the photonic crystal fibers can be reduced.

© 2014 Optical Society of America

Full Article  |  PDF Article
OSA Recommended Articles
Photonic crystal fiber design by means of a genetic algorithm

Emmanuel Kerrinckx, Laurent Bigot, Marc Douay, and Yves Quiquempois
Opt. Express 12(9) 1990-1995 (2004)

Optimization of photonic nanojets generated by multilayer microcylinders with a genetic algorithm

Yin Huang, Zhishen Zhen, Yuecheng Shen, Changjun Min, and Georgios Veronis
Opt. Express 27(2) 1310-1325 (2019)

Photonic crystal fiber coupler

Byeong Ha Lee, Joo Beom Eom, Jinchae Kim, Dae Seung Moon, Un-Chul Paek, and Gil-Ho Yang
Opt. Lett. 27(10) 812-814 (2002)

References

  • View by:
  • |
  • |
  • |

  1. B. E. A. Saleh and M. C. Teich, Fundamentals of Photonics (John Wiley, 1991).
  2. J. Limpert, T. Schreiber, S. Nolte, H. Zellmer, and A. Tünnermann, “High-power air-clad large-mode-area photonic crystal fiber laser,” Opt. Express 11(7), 818–823 (2003).
  3. J. Durnin, “Exact solutions for nondiffracting beams. I. The scalar theory,” J. Opt. Soc. Am. A 4(4), 651–654 (1987).
    [Crossref]
  4. J. Durnin, J. J. Miceli, and J. H. Eberly, “Diffraction-free beams,” Phys. Rev. Lett. 58(15), 1499–1501 (1987).
    [Crossref] [PubMed]
  5. J. K. Kim, J. Kim, Y. Jung, W. Ha, Y. S. Jeong, S. Lee, A. Tünnermann, and K. Oh, “Compact all-fiber Bessel beam generator based on hollow optical fiber combined with a hybrid polymer fiber lens,” Opt. Lett. 34(19), 2973–2975 (2009).
    [Crossref] [PubMed]
  6. K. Kawano and T. Kitoh, Introduction to Optical Waveguide Analysis (Wiley-Interscience, 2001).
  7. L. Sanchis, A. Håkansson, D. López-Zanón, J. Bravo-Abad, and J. Sánchez-Dehesa, “Integrated optical devices design by genetic algorithm,” Appl. Phys. Lett. 84(22), 4460–4462 (2004).
    [Crossref]
  8. A. Håkansson, P. Sanchis, J. Sánchez-Dehesa, and J. Martí, “High-Efficiency Defect-Based Photonic-Crystal Tapers Designed by a Genetic Algorithm,” J. Lightwave Technol. 23(11), 3881–3888 (2005).
    [Crossref]
  9. L. Shen, Z. Ye, and S. He, “Design of two-dimensional photonic crystals with large absolute band gaps using a genetic algorithm,” Phys. Rev. B 68(3), 035109 (2003).
    [Crossref]
  10. M. P. Bendsøe and C. A. M. Soares, Topology Design of Structures (Kluwer Academic, 1993).
  11. P. I. Borel, A. Harpøth, L. H. Frandsen, and M. Kristensen, “Topology optimization and fabrication of photonic crystal structures,” Opt. Express 12(9), 1996–2001 (2004).
  12. K. Yasumoto, Electromagnetic Theory and Applications for Photonic Crystal (Taylor and Francis, 2006).
  13. T. A. Birks, J. C. Knight, and P. St. J. Russell, “Endlessly single-mode photonic crystal fiber,” Opt. Lett. 22(13), 961–963 (1997).
    [Crossref] [PubMed]
  14. K. D. D. Willis, E. Brockmeyer, S. E. Hudson, and I. Poupyrev, “Printed optics: 3d printing of embedded optical elements for interactive devices,” in Proceedings of the 25th Annual ACM Symposium on User Interface Software and Technology, ACM (2012), pp. 589–598.
    [Crossref]

2009 (1)

2005 (1)

2004 (2)

P. I. Borel, A. Harpøth, L. H. Frandsen, and M. Kristensen, “Topology optimization and fabrication of photonic crystal structures,” Opt. Express 12(9), 1996–2001 (2004).

L. Sanchis, A. Håkansson, D. López-Zanón, J. Bravo-Abad, and J. Sánchez-Dehesa, “Integrated optical devices design by genetic algorithm,” Appl. Phys. Lett. 84(22), 4460–4462 (2004).
[Crossref]

2003 (2)

L. Shen, Z. Ye, and S. He, “Design of two-dimensional photonic crystals with large absolute band gaps using a genetic algorithm,” Phys. Rev. B 68(3), 035109 (2003).
[Crossref]

J. Limpert, T. Schreiber, S. Nolte, H. Zellmer, and A. Tünnermann, “High-power air-clad large-mode-area photonic crystal fiber laser,” Opt. Express 11(7), 818–823 (2003).

1997 (1)

1987 (2)

J. Durnin, J. J. Miceli, and J. H. Eberly, “Diffraction-free beams,” Phys. Rev. Lett. 58(15), 1499–1501 (1987).
[Crossref] [PubMed]

J. Durnin, “Exact solutions for nondiffracting beams. I. The scalar theory,” J. Opt. Soc. Am. A 4(4), 651–654 (1987).
[Crossref]

Birks, T. A.

Borel, P. I.

Bravo-Abad, J.

L. Sanchis, A. Håkansson, D. López-Zanón, J. Bravo-Abad, and J. Sánchez-Dehesa, “Integrated optical devices design by genetic algorithm,” Appl. Phys. Lett. 84(22), 4460–4462 (2004).
[Crossref]

Durnin, J.

J. Durnin, J. J. Miceli, and J. H. Eberly, “Diffraction-free beams,” Phys. Rev. Lett. 58(15), 1499–1501 (1987).
[Crossref] [PubMed]

J. Durnin, “Exact solutions for nondiffracting beams. I. The scalar theory,” J. Opt. Soc. Am. A 4(4), 651–654 (1987).
[Crossref]

Eberly, J. H.

J. Durnin, J. J. Miceli, and J. H. Eberly, “Diffraction-free beams,” Phys. Rev. Lett. 58(15), 1499–1501 (1987).
[Crossref] [PubMed]

Frandsen, L. H.

Ha, W.

Håkansson, A.

A. Håkansson, P. Sanchis, J. Sánchez-Dehesa, and J. Martí, “High-Efficiency Defect-Based Photonic-Crystal Tapers Designed by a Genetic Algorithm,” J. Lightwave Technol. 23(11), 3881–3888 (2005).
[Crossref]

L. Sanchis, A. Håkansson, D. López-Zanón, J. Bravo-Abad, and J. Sánchez-Dehesa, “Integrated optical devices design by genetic algorithm,” Appl. Phys. Lett. 84(22), 4460–4462 (2004).
[Crossref]

Harpøth, A.

He, S.

L. Shen, Z. Ye, and S. He, “Design of two-dimensional photonic crystals with large absolute band gaps using a genetic algorithm,” Phys. Rev. B 68(3), 035109 (2003).
[Crossref]

Jeong, Y. S.

Jung, Y.

Kim, J.

Kim, J. K.

Knight, J. C.

Kristensen, M.

Lee, S.

Limpert, J.

López-Zanón, D.

L. Sanchis, A. Håkansson, D. López-Zanón, J. Bravo-Abad, and J. Sánchez-Dehesa, “Integrated optical devices design by genetic algorithm,” Appl. Phys. Lett. 84(22), 4460–4462 (2004).
[Crossref]

Martí, J.

Miceli, J. J.

J. Durnin, J. J. Miceli, and J. H. Eberly, “Diffraction-free beams,” Phys. Rev. Lett. 58(15), 1499–1501 (1987).
[Crossref] [PubMed]

Nolte, S.

Oh, K.

Russell, P. St. J.

Sánchez-Dehesa, J.

A. Håkansson, P. Sanchis, J. Sánchez-Dehesa, and J. Martí, “High-Efficiency Defect-Based Photonic-Crystal Tapers Designed by a Genetic Algorithm,” J. Lightwave Technol. 23(11), 3881–3888 (2005).
[Crossref]

L. Sanchis, A. Håkansson, D. López-Zanón, J. Bravo-Abad, and J. Sánchez-Dehesa, “Integrated optical devices design by genetic algorithm,” Appl. Phys. Lett. 84(22), 4460–4462 (2004).
[Crossref]

Sanchis, L.

L. Sanchis, A. Håkansson, D. López-Zanón, J. Bravo-Abad, and J. Sánchez-Dehesa, “Integrated optical devices design by genetic algorithm,” Appl. Phys. Lett. 84(22), 4460–4462 (2004).
[Crossref]

Sanchis, P.

Schreiber, T.

Shen, L.

L. Shen, Z. Ye, and S. He, “Design of two-dimensional photonic crystals with large absolute band gaps using a genetic algorithm,” Phys. Rev. B 68(3), 035109 (2003).
[Crossref]

Tünnermann, A.

Ye, Z.

L. Shen, Z. Ye, and S. He, “Design of two-dimensional photonic crystals with large absolute band gaps using a genetic algorithm,” Phys. Rev. B 68(3), 035109 (2003).
[Crossref]

Zellmer, H.

Appl. Phys. Lett. (1)

L. Sanchis, A. Håkansson, D. López-Zanón, J. Bravo-Abad, and J. Sánchez-Dehesa, “Integrated optical devices design by genetic algorithm,” Appl. Phys. Lett. 84(22), 4460–4462 (2004).
[Crossref]

J. Lightwave Technol. (1)

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

Opt. Express (2)

Opt. Lett. (2)

Phys. Rev. B (1)

L. Shen, Z. Ye, and S. He, “Design of two-dimensional photonic crystals with large absolute band gaps using a genetic algorithm,” Phys. Rev. B 68(3), 035109 (2003).
[Crossref]

Phys. Rev. Lett. (1)

J. Durnin, J. J. Miceli, and J. H. Eberly, “Diffraction-free beams,” Phys. Rev. Lett. 58(15), 1499–1501 (1987).
[Crossref] [PubMed]

Other (5)

B. E. A. Saleh and M. C. Teich, Fundamentals of Photonics (John Wiley, 1991).

M. P. Bendsøe and C. A. M. Soares, Topology Design of Structures (Kluwer Academic, 1993).

K. D. D. Willis, E. Brockmeyer, S. E. Hudson, and I. Poupyrev, “Printed optics: 3d printing of embedded optical elements for interactive devices,” in Proceedings of the 25th Annual ACM Symposium on User Interface Software and Technology, ACM (2012), pp. 589–598.
[Crossref]

K. Kawano and T. Kitoh, Introduction to Optical Waveguide Analysis (Wiley-Interscience, 2001).

K. Yasumoto, Electromagnetic Theory and Applications for Photonic Crystal (Taylor and Francis, 2006).

Cited By

OSA participates in Crossref's Cited-By Linking service. Citing articles from OSA journals and other participating publishers are listed here.

Alert me when this article is cited.


Figures (4)

Fig. 1
Fig. 1 (a) initial PCF structure, 1(b). The fundamental mode of Hx field, 1(c) The fundamental mode of Hy field.
Fig. 2
Fig. 2 The flowchart of the GAs optimization.
Fig. 3
Fig. 3 (a) the optimized structure after the 1st GAs case, (b) The fundamental mode of Hx field, (c) the comparison of the normalized field intensity between the initial and the 1st GAs cases in X axis
Fig. 4
Fig. 4 (a) The optimized structure after the 2nd GAs case, (b) the fundamental mode of Hx field, and (c) normalized field intensity between the initial and the 2nd GAs cases in Y axis.

Equations (2)

Equations on this page are rendered with MathJax. Learn more.

V = k Λ F 1 2 ( n 0 2 n a 2 ) 1 2
Cost value=W v × F v +W r × F r +W d × F d

Metrics