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Optics Express

Optics Express

  • Editor: Michael Duncan
  • Vol. 14, Iss. 22 — Oct. 30, 2006
  • pp: 10759–10764

Focusing of electromagnetic waves by periodic arrays of air holes with gradually varying radii

Hung-Ta Chien and Chii-Chang Chen  »View Author Affiliations

Optics Express, Vol. 14, Issue 22, pp. 10759-10764 (2006)

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We study theoretically the focusing effects when a Gaussian beam passing through a graded photonic crystal consisting of air holes with gradually varying radii. The device is used to couple the light between the conventional and photonic crystal waveguides. The coupling efficient is about 4 times higher than that by the linear taper structure.

© 2006 Optical Society of America

OCIS Codes
(130.3120) Integrated optics : Integrated optics devices
(220.2560) Optical design and fabrication : Propagating methods
(250.5300) Optoelectronics : Photonic integrated circuits

ToC Category:
Optical Design and Fabrication

Original Manuscript: August 28, 2006
Revised Manuscript: October 17, 2006
Manuscript Accepted: October 18, 2006
Published: October 30, 2006

Hung-Ta Chien and Chii-Chang Chen, "Focusing of electromagnetic waves by periodic arrays of air holes with gradually varying radii," Opt. Express 14, 10759-10764 (2006)

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  1. C. C. Chen, H. D. Chien, and P. G. Luan, "Photonic crystal beam splitters," Appl. Opt. 43, 6187-6190 (2004) http://www.opticsinfobase.org/abstract.cfm?URI=ao-43-33-6187. [CrossRef] [PubMed]
  2. H. T. Chien, C. C. Chen, and P. G. Luan, "Photonic crystal beam splitters," Opt. Commun. 259, 873-875 (2006). [CrossRef]
  3. C. C. Chen, Y. L. Tsai, C. L. Hsu, and J. Y. Chang, "Propagation loss reduction of photonic crystal slab waveguides by microspheres," Opt. Express 12, 3934-3939 (2004). [CrossRef] [PubMed]
  4. L. M. Chang, C. H. Hou, Y. C. Ting, C. C. Chen, C. L. Hsu, J. Y. Chang, C. C. Lee, G. T. Chen, and J. I. Chyi, "Laser emission from GaN photonic crystals," Appl. Phys. Lett. 89, 071116 (2006). [CrossRef]
  5. C. Luo, S. G. Johnson, J. D. Joannopoulos, and J. B. Pendry, "All-angle negative refraction without negative effective index," Phys. Rev. B 65, 201104 (2002). [CrossRef]
  6. A. Martínez and J. Martí, "Negative refraction in two-dimensional photonic crystals: Role of lattice orientation and interface termination," Phys. Rev. B 71, 235115 (2005). [CrossRef]
  7. H. T. Chien, H. T. Tang, C. H. Kuo, C.C. Chien, and Z. Ye, "Directed diffraction without negative refraction," Phys. Rev. B 70, 113101 (2004). [CrossRef]
  8. Z. Y. Li and L. L. Lin, "Evaluation of lensing in photonic crystal slabs exhibiting negative refraction," Phys. Rev. B 68, 245110 (2003). [CrossRef]
  9. P. Halevi, A. A. Krokhin, and J. Arriaga, "Photonic crystals as optical components," Appl. Phys. Lett. 75, 2725-2727 (1999). [CrossRef]
  10. L. Sanchis, A. Håkansson, D. López-Zanón, J. Bravo-Abad, and José Sánchez-Dehesa, " Integrated optical devices design by genetic algorithm," Appl. Phys. Lett. 84, 4460-4462 (2004). [CrossRef]
  11. E. Centeno and D. Cassagne, "Graded photonic crystals," Opt. Lett. 30, 2278-2280 (2005). http://www.opticsinfobase.org/abstract.cfm?URI=ol-30-17-2278 [CrossRef] [PubMed]
  12. E. Pshenay-Severin, C. C. Chen, T. Pertsch, M. Augustin, A. Chipouline, A. Tünnermann, "Photonic Crystal Lens for Photonic Crystal Waveguide Coupling," Proceeding of CLEO2006,  CTHK3, 2006.
  13. E. H. Khoo, A. Q. Liu, J. H. Wu, J. Li, and D. Pinjala, "Modified step-theory for investigating mode coupling mechanism in photonic crystal waveguide taper," Opt. Express 14, 6035-6054 (2006). [CrossRef] [PubMed]
  14. D. H. Chien, C. H. Tsai, S. S. Lo, C. C. Chen, J. Y. Chang, "Solid immersion lenses in planar waveguides," J. Lightwave Technol. 23, 2746-2748 (2005). [CrossRef]

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