volume | PIER Journals

Abstract

In this paper a new type of optical filter using photonic band gap materials has been suggested. A detailed mathematical analysis is presented to predict allowed and forbidden bands of wavelengths with variation of angle of incidence. It is possible to get desired ranges of the electromagnetic spectrum filtered with this structure by changing the incidence angle of light.

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. Jonopoulos, J.D., P. Villeneuve, and S. Fan, "Photonic crystals: Putting a new twist on light," Nature, Vol. 386, 143-149, 1997.
doi:10.1038/386143a0

3. Zheng, Q. R., Y. Q. Fu, and N. C. Yuan, "Characteristics of planar PBG structures with a cover layer," Journal of Electromagnetic Waves and Applications, Vol. 20, 1439-1453, 2006.
doi:10.1163/156939306779274264

4. 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

5. Rojas, J.A.M., J. Alpuente, J. Pineiro, and R. Sanchez, "Rigorous full vectorial analysis of electromagnetic wave propagation in 1D," Progress In Electromagnetics Research, Vol. 63, 89-105, 2006.
doi:10.2528/PIER06042501

6. Chigrin, D. N., A. V. Lavrinenko, D. A. Yarotsky, and S. V. Gaponenko, "Observation of total omnidirectional reflection from a one-dimensional dielectric lattice," Appl. Phys. A:Mater. Sci. Process., Vol. 68, 25-281999, 2819.
doi:10.1007/s003390050849

7. Joannopoulos, J. D., R. D. Meade, and J. N. Winn, Photonic Crystals: Molding the Flow of Light, Princeton University Press, 1995.

8. Burstein, E. and C. Weisbuch, Confined Electron and Photon: New Physics and Applications, Plenum Press, 1995.

9. Soukoulis, C., Photonic Band Gap Materials, 71-79, 71-79, 1996.

10. Macleod, H., Thin-film Optical Filters, Adam Hilger, 1986.

11. Yeh, P., Optical Waves in Layered Media, John Wiley & Sons, 1988.

12. Guida, G., "Numerical studies of disordered photonic crystals," Progress In Electromagnetics Research, Vol. 41, 107-131, 2003.
doi:10.2528/PIER02010805

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

14. Hattori, H. T., A. Kazmierczak, and V. M. Schneider, "and C.L.Barbosa Photonic crystal micro-cavity based radiation filter," Journal of Electromagnetic Waves and Applications, Vol. 19, 1525-1534, 2005.
doi:10.1163/156939305775701840

15. Khalaj-Amirhosseini, M., "Microwave filters using waveguides filled by multi-layer dielectric," Progress In Electromagnetics Research, Vol. 66, 105-110, 2006.
doi:10.2528/PIER06102502

16. Guenneu, S., A. Nicolet, F. Zolla, and S. Lasquellec, "Numerical and theoretical study of photonic crystal fibers," Progress In Electromagnetics Research, Vol. 41, 271-305, 2003.
doi:10.2528/PIER02010893

17. Zandi, O., Z. Atlasbaf, and K. Forooraghi, "Flat multilayer dielectric reflector antennas," Progress In Electromagnetics Research, Vol. 72, 1-19, 2007.
doi:10.2528/PIER07022604

18. Aissaoui, M., J. Zaghdoudi, M. Kanzari, and B. Rezig, "Optical properties of the quasi-periodic one-dimensional generalized multilayer Fibonacci structures," Progress In Electromagnetics Research, Vol. 59, 69-83, 2006.
doi:10.2528/PIER05091701

19. Maka, T., D. N. Chigrin, S. G. Romanov, and C. M. S. Torres, "Three dimensional photonic crystals in the visible regime," Progress In Electromagnetics Research, Vol. 41, 307-335, 2003.
doi:10.2528/PIER02010894

20. Wu, C.-J., "Transmission and reflection in a periodic superconductor/ dielectric film multilayer structure," Journal of Electromagnetic Waves and Applications, Vol. 19, 1991-1996, 2006.
doi:10.1163/156939305775570468

21. Delano, E. and R. J. Pegis, Progress in Optics, E.W olf (ed.), 1969.

22. John, S. and Wang, "Quantum optics of localized light in a photonic band gap," Phys. Rev. B, Vol. 43, 12772-12789, 1991.
doi:10.1103/PhysRevB.43.12772

23. Brooks, D. and S. Ruschin, "Integrated electrooptic multielectrode tunable filter," J. Lightwave Technol., Vol. 13, 1508-1513, 1995.
doi:10.1109/50.400719

24. Wooten, E.L., R. L. Stone, E. W. Miles, and E. M. Bradely, "Rapidly tunable narrowband wavelength filter using LiNbO3," J. Lightwave Technol., Vol. 14, 2530-2536, 1996.
doi:10.1109/50.548151

25. Oda, K., N. Yakato, T. Kominato, and H. Toba, "A 16-channel frequency selection switch for optical FDM distribution systems," IEEE J. Sel. Areas Commun., Vol. 8, 1132-1140, 1990.
doi:10.1109/49.57818

26. Stone, J. and L. W. Stulz, "High-performance fibre Fabry-Perot filters," Electron. Lett., Vol. 27, 2239-2240, 1991.
doi:10.1049/el:19911385

27. Born, M. and E. Wolf, Principles of Optics, Cambridge University Press, 1998.

28. Zirngibl, M., C. H. Joyner, and B. Glance, "Digitally tunable channel-dropping filter/equalizer based on waveguide grating router and optical amplifier integration," IEEE Photonics Technol. Lett., Vol. 6, 513-515, 1994.
doi:10.1109/68.281812

29. Ishida, O., H. Takahashi, and Y. Inoue, "Digitally tunable optical filters using arrayed-waveguide grating (AWG) multiplexers and optical switches," J. Light Wave Technol., Vol. 15, 321-327, 1997.
doi:10.1109/50.554384

30. Sneh, A. and K. M. Johnson, "High-speed tunable liquid crystal filter for WDM networks," J. Lightwave Technol., Vol. 14, 1067-1080, 1996.
doi:10.1109/50.511608

31. Chen, P. L., K. C. Lin, W. C. Chuang, Y. C. Tzeng, K. Y. Lee, and W. Y. Lee, "Analysis of a liquid crystal FabryPerot etalon filter: A novel model," IEEE Photonics Technol. Lett., Vol. 9, 467-469, 1997.
doi:10.1109/68.559390

32. Fujii, Y., "High-isolation polarization-independent optical circulator coupled with single-mode fibers," J. Lightwave Technol., Vol. 9, 456-460, 1991.
doi:10.1109/50.76659

33. Smith, D. A., J. E. Baran, J. J. Johnson, and K. W. Cheung, "Integrated-optic acoustically tunable filters for WDM networks," IEEE J. Sel. Areas Commun., Vol. 8, 1151-1159, 1990.
doi:10.1109/49.57821

34. Zhao, L. P., X. Zhai, B. Wu, T. Su, W. Xue, and C.-H. Liang, "Novel design of dual-mode bandpass filter using rectangle structure," Progress In Electromagnetics Research B, Vol. 3, 131-141, 2008.
doi:10.2528/PIERB07121003

35. Jopson, R.M., J. Jtone, and L. W. Stulz, "Nonreciprocal transmission in a fiber Fabry-Perot resonatorcontaining a magnetooptic material," Photonics Tech. Lett., Vol. 2, 702-704, 1990.
doi:10.1109/68.60765

36. Morishita, K., "Optical fiber devices using dispersive materials," IEEE J. Lightwave Technol., Vol. 7, 198-201, 1989.
doi:10.1109/50.17754

37. Reid, D. C. J., C. M. Rogdale, I. Robbins, D. J. Robbins, J. Buus, and W. J. Stewart, "Phase-shifted Moire grating fibre resonators," Electron. Lett., Vol. 26, 10-12, 1990.
doi:10.1049/el:19900007

38. Ojha, S. P., P. K. Chaudhary, P. Khastgir, and O. N. Singh, "Operating characteristics of an optical filter with a linearly periodic refractive index pattern in the filter material," Jpn. J. Appl. Phys., Vol. 31, 281-285, 1992.
doi:10.1143/JJAP.31.281

39. Chen, J.C., A. Haus, S. Fan, P. R. Villeneuve, and J. D. Joannopoulos, "Optical filters from photonic band gap air bridges," IEEE J. Lightwave Technol., Vol. 14, 2575-2580, 1996.
doi:10.1109/50.548157

40. D'Orazio, A., M. De Sario, V. Petruzzelli, and F. Prudenzano, "Photonic band gap filter for wavelength division multiplexer," Opt. Express, Vol. 11, 230-239, 2003.

41. Del Villar, I., I. R. Matias, F. J. Arregui, and R. O. Claus, "Analysis of one-dimensional photonic bandgap structures with a liquid crystal defect toward development of fiber-optic tunable wavelength filters," Opt. Express, Vol. 11, 430-436, 2003.

42. Dowling, J. P. and C. M. Bowden, , Vol. 41, 345, J. Mod. Optics, 1994.

Dr. Ragini Srivastava

Dr. Khem Thapa

Dr. Shyam Pati

Prof. Sant Ojha