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2010-12-01
One-Dimensional Photonic Heterostructure with Broadband Omnidirectional Reflection
By
Progress In Electromagnetics Research, Vol. 111, 105-117, 2011
Abstract
In this work we report the modeling of an one-dimensional photonic heterostructure which presents a giant omnidirectional photonic band gap. This omnidirectional reflector is made by the union of lattices with the same filling fraction and index contrast, but with different lattice periods. Using the scalability of the electromagnetic wave equation we present a simple manner to enlarge ---as large as desired--- the omnidirectional mirror. We apply our method to design an omnidirectional reflector for all the visible range.
Citation
Jesus Manzanares-Martinez, Raul Archuleta-Garcia, Paola Castro-Garay, Damian Moctezuma-Enriquez, and Efrain Urrutia-Banuelos, "One-Dimensional Photonic Heterostructure with Broadband Omnidirectional Reflection," Progress In Electromagnetics Research, Vol. 111, 105-117, 2011.
doi:10.2528/PIER10110404
References

1. Yablonovitch, E., "Inhibited spontaneous emission in solid-state physics and electronics," Phys. Rev. Lett., Vol. 58, 2059-2062, 1987.
doi:10.1103/PhysRevLett.58.2059

2. Ozbay, E., B. Temelkuran, and M. Bayindir, "Microwave applications of photonic crystals," Progress In Electromagnetics Research, Vol. 41, 185-209, 2003.
doi:10.2528/PIER02010808

3. Guida, G., A. de Lustrac, and A. Priou, "An introduction to photonic band gap (PBG) materials," Progress In Electromagnetics Research, Vol. 41, 1-20, 2003.
doi:10.2528/PIER02010801

4. Banerjee, A., "Enhanced temperature sensing by using one-dimensional ternary photonic band gap structures," Progress In Electromagnetics Research Letters, Vol. 11, 129-137, 2009.
doi:10.2528/PIERL09080101

5. Awasthi, S. K., U. Malaviya, S. P. Ojha, N. K. Mishra, and B. Singh, "Design of a tunable polarizer using a one-dimensional nano sized photonic bandgap structure," Progress In Electromagnetics Research B, Vol. 5, 133-152, 2008.
doi:10.2528/PIERB08021004

6. Hsu, H.-T., T.-W. Chang, T.-J. Yang, B.-H. Chu, and C.-J. Wu, "Analysis of wave properties in photonic crystal narrowband filters with lefthanded defect," Journal of Electromagnetic Waves and Applications, Vol. 24, 2285-2298, 2010.
doi:10.1163/156939310793699073

7. Dai, G.-L. and M.-Y. Xia, "An investigation of quarter-wavelength square-spiral resonator and its applications to miniaturized bandpass filters," Journal of Electromagnetic Waves and Applications, Vol. 24, 1303-1313, 2010.
doi:10.1163/156939310791958699

8. He, Y., L. Li, C.-H. Liang, and Q. H. Liu, "EBG structures with fractal topologies for ultra-wideband ground bounce noise suppression," Journal of Electromagnetic Waves and Applications, Vol. 24, 1365-1374, 2010.
doi:10.1163/156939310791958734

9. Zhang, X. F., L. F. Shen, J.-J. Wu, and T.-J. Yang, "Backward guiding of terahertz radiation in periodic dielectric waveguides," Journal of Electromagnetic Waves and Applications, Vol. 24, 557-564, 2010.

10. Wu, C.-J. and Y.-L. Chen, "Effective surface impedance for a superconductor-semiconductor superlattice at mid-infrared frequency," Journal of Electromagnetic Waves and Applications, Vol. 23, 1441-1453, 2009.
doi:10.1163/156939309789476419

11. Wu, C.-J., C.-L. Liu, and W.-K. Kuo, "Analysis of thickness-dependent optical properties in a one-dimensional superconducting photonic crystal," Journal of Electromagnetic Waves and Applications, Vol. 23, 1113-1122, 2009.

12. Winn, J. N., Y. Fink, S. Fan, and J. D. Joannopoulous, "Omnidirectional reflection from a one-dimensional photonic crystal," Opt. Lett., Vol. 23, 1573-1575, 1998.
doi:10.1364/OL.23.001573

13. Banerjee, A., "Enhanced incidence angle based spectrum tuning by using one-dimensional ternary photonic band gap structures," Journal of Electromagnetic Waves and Applications, Vol. 24, 1023-1032, 2010.
doi:10.1163/156939310791586151

14. Kuzma-Filipek, I. J., F. Duerinckx, E. van Kerschaver, K. van Nieuwenhuysen, G. Beaucarne, and J. Poortmans, "Chirped porous silicon reflectors for thin-film epitaxial silicon solar cells," J. Appl. Phys., Vol. 104, 073529-073536, 2008.
doi:10.1063/1.2993753

15. Biancotto, C. and P. Record, "Dielectric EBG corner reflector antenna," Journal of Electromagnetic Waves and Applications, Vol. 24, 2107-2118, 2010.

16. Chau, Y.-F., H.-H. Yeh, and D. P. Tsai, "A new type of optical antenna: Plasmonics nanoshell bowtie antenna with dielectric hole," Journal of Electromagnetic Waves and Applications, Vol. 24, 1621-1632, 2010.
doi:10.1163/156939310792149588

17. Zhou, H., S. Qu, Z. Pei, Y. Yang, J. Zhang, J. Wang, H. Ma, C. Gu, and X. Wang, "A high-directive patch antenna based on all-dielectric near-zero-index metamaterial superstrates," Journal of Electromagnetic Waves and Applications, Vol. 24, 1387-1396, 2010.
doi:10.1163/156939310791958680

18. Curel, C. S., H. Cosar, and O. Akalm, "Accurate resonant frequency computation of multisegment rectangular dielectric resonator antennas," Journal of Electromagnetic Waves and Applications, Vol. 24, 839-847, 2010.
doi:10.1163/156939310791036313

19. Masri, T., M. K. A. Rahim, H. A. Majid, O. Ayop, F. Zubir, and M. N. A. Karim, "Electromagnetic band gap structure for planar ultra wide band antenna," Journal of Electromagnetic Waves and Applications, Vol. 24, 229-239, 2010.
doi:10.1163/156939310790735570

20. Dominici, L., L. Vesce, D. Colonna, F. Michelotti, T. F. Brown, A. Reale, and A. Di Carlo, "Angular and prism coupling refractive enhancement in dye solar cells," Appl. Phys. Lett., Vol. 96, 103302-103304, 2010.
doi:10.1063/1.3328097

21. Liu, C.-C., Y.-H. Chang, and C.-J. Wu, "Refractometric optical sensing by using a multilayer reflection and transmission narrowband filter," Journal of Electromagnetic Waves and Applications, Vol. 24, 293-305, 2010.
doi:10.1163/156939310790735651

22. Manzanares-Martinez, J. and P. Castro-Garay, "Modeling the tuning of lasing in liquid crystal based one-dimensional photonic crystals using the Finite Difference Time-Domain method," Journal of Electromagnetic Waves and Applications, Vol. 24, No. 14/15, 1867-1875, 2010.

23. Wu, C.-J., J.-J. Liao, and T.-W. Chang, "Tunable multilayer fabry-perot resonator using electro-optical defect layer," Journal of Electromagnetic Waves and Applications, Vol. 24, 531-542, 2010.

24. Deopura, M., C. K. Ullal, B. Temelkuran, and Y. Fink, "Dielectric omnidirectional visible reflector," Optics Letters, Vol. 26, 1197-1199, 2001.
doi:10.1364/OL.26.001197

25. Chigrin, D. N., A. D. Lavrinenko, D. A. Yarotsky, and S. V. Gaponenko, "All-dielectric one-dimensional periodic strcutures for total omnidirectional reflection and partial spontaneous emission control," J. Lightwave Technol., Vol. 17, 2018-2024, 1999.
doi:10.1109/50.802989

26. Fink, Y., J. N. Winn, S. Fan, C. Chen, J. Michel, J. D. Joannopoulos, and E. L. Thomas, "A dielectric omnidirectional reflector," Science, Vol. 282, 1679-1682, 1998.
doi:10.1126/science.282.5394.1679

27. Istrate, E. and E. H. Sargent, "Photonic crystal heterostructures and interfaces," Rev. of Mod. Phys., Vol. 78, 455-481, 2006.
doi:10.1103/RevModPhys.78.455

28. Banerjee, A., "Enhanced refractometric optical sensing by using one-dimensional ternary photonic crystals," Progress In Electromagnetics Research, Vol. 89, 11-22, 2009.
doi:10.2528/PIER08112105

29. Awasthi, S. K. and S. P. Ojha, "Wide-angle broadband plate polarizer with 1d photonic crystal," Progress In Electromagnetics Research, Vol. 88, 321-335, 2008.
doi:10.2528/PIER08093003

30. Wang, Z. Y., X. M. Cheng, X. Q. He, S. L. Fan, and W. Z. Yan, "Photonic crystal narrow filters with negative refractive index structural defects," Progress In Electromagnetics Research, Vol. 80, 421-430, 2008.
doi:10.2528/PIER07121002

31. Kumar, N. and S. P. Ojha, "Photonic crystals as infrared broadband reflectors with different angles of incidence: A comparative study," Progress In Electromagnetics Research, Vol. 80, 431-445, 2008.
doi:10.2528/PIER07120502

32. Srivastava, S. K. and S. P. Ojha, "Omnidirectional reflection bands in one-dimensional photonic crystal structure using fullerene films," Progress In Electromagnetics Research, Vol. 74, 181-194, 2007.
doi:10.2528/PIER07050202

33. Srivastava, S. K. and S. P. Ojha, "Enhancement of omnidirectional reflection bands in one-dimensional photonic crystals with left-handed materials," Progress In Electromagnetics Research, Vol. 68, 91-111, 2007.
doi:10.2528/PIER06061602

34. Srivastava, R., K. B. Thapa, S. Pati, and S. P. Ojha, "Design of photonic band gap filter," Progress In Electromagnetics Research, Vol. 81, 225-235, 2008.
doi:10.2528/PIER08010902

35. Wu, C. J. and Z. H. Wang, "Properties of defect modes in one-dimensional photonic crystals," Progress In Electromagnetics Research, Vol. 103, 169-184, 2010.
doi:10.2528/PIER10031706

36. Wu, C.-J., B.-H. Chu, and M.-T. Weng, "Analysis of optical reflection in a chirped distributed bragg reflector," Journal of Electromagnetic Waves and Applications, Vol. 23, 129-138, 2009.
doi:10.1163/156939309787604643

37. Archuleta-Garcia, R., M. B. Manzanares-Martinez, and J. Manzanares-Martinez, "Giant photonic band gaps in photonic heterostructures," Revista Mexicana de Fisica, Vol. 53, 371-375, 2007.

38. Archuleta-Garcia, R. and J. Manzanares-Martinez, "Slow group velocity in photonic heterostructures," Superficies y Vacio, Vol. 21, 18-20, 2008.

39. Archuleta-Garcia, R., D. Moctezuma-Enriquez, and J. Manzanares-Martinez, "Enlargement of photonic band gap in porous silicon dielectric mirrors," Journal of Electromagnetic Waves and Applications, Vol. 24, No. 2/3, 351-361, 2010.
doi:10.1163/156939310790735732

40. Archuleta-Garcia, R., M. B. Manzanares-Martinez, and J. Manzanares-Martinez, "A description of the plane wave method for the calculation of photonic bands," Revista Boliviana de Fisica, Vol. 13, 79-85, 2007.

41. Ramos-Mendieta, F. and P. Halevi, "Electromagnetic surface modes of a dielectric superlattice: The supercell method," J. Opt. Soc. Am. B, Vol. 14, 370-381, 1997.
doi:10.1364/JOSAB.14.000370

42. Xifre-Perez, X., L. F. Marshal, J. Pallares, and J. Ferre-Borull, "Porous silicon mirrors with enlarged omnidirectional band gap," J. Appl. Phys., Vol. 97, 064503-064508, 2005.
doi:10.1063/1.1866497

43. Sozuer, H. S. and S. Kevim, "Robustness of one-dimensional photonic band gaps under random variations of geometrical parameters," Phys. Rev. B., Vol. 72, 195101-195110, 2005.
doi:10.1103/PhysRevB.72.195101