Impact of Incident Angle on Defect Modes in Symmetric and Asymmetric One-Dimensional Photonic Crystals


  • Dr. Vipin Kumar Janta Vedic College, Baraut (Baghpat) U.P. 250611
  • Ravinder Kumar Department of Physics, Janta Vedic College, Baraut (U.P.), India-250611



Defects, Transfer matrix method, Transmittance


The impact of the angle of incidence on defect modes within a one-dimensional photonic crystal (PC) containing a central defect has been thoroughly examined. We have considered two distinct types of photonic crystals, each featuring a solitary defect: symmetric PCs and asymmetric PCs. Our findings reveal that in the case of asymmetric PCs, a defect mode emerges precisely at the central wavelength. Conversely, for symmetric PCs, two distinct defect modes appear in the proximity of the central wavelength. By widening the defect layer, these two defect modes can be merged into a single central defect mode. However, it's worth noting that the intensities of these merged defect modes differ from those observed in the asymmetric case. We have analyzed the propagation characteristics of the proposed structure using the transfer matrix method.


E Yablonovitch. Phys. Rev. Lett., 58:2059, 1987.

K M Ho, C T Chan and C M Soukoulis. Phys. Rev. Lett., 65:3152, 1990.

J D Jonopoulos, P Villeneuve and S Fan. Nature, 386:143 1997.

J A M Rojas, J Alpuente, J Pineiro and R Sanchez, Prog. Electromagn. Res., PIER 63:89 2006.

E Yablonovitch and T J Gmitter, Phys. Rev. Lett., 63:1950 1989.

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

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

G Du, X Zhou, C Pang, K Zhang, Y Zhao, G Lu, F Liu and A Wu, S. Akhmadaliev, S. Zhou et al., Adv. Opt. Mater., 8:2000426 2020.

A K Goyal, A Kumar and Y Massoud, Crystals, 12:992 2022.

A T Jervakani and B S Darki, Opt. Commun., 526:128884 2023.

L Dan, D S Citrin and S Hu, Opt. Mater., 109:110256 2020.

E Shahram, M Azardokht, K M Hossein, O Sareh, G Elham and H Mohsen, Photon. Netw. Commun., 31:516 2016.

T Hiroya, T Isamu, F Hisayoshi and I Hideo, J. Lightwave Technol., 36(12):2517 2018.

X Chen, H Ni, D Zhao and Y Wang, Appl. Opt., 61(26):7786-7792 2022.

N Kumar, S Kaliramna and M Singh, Silicon, 14:6933 2022.

N Kumar and J Saraf, Optik, 252:168577 2022.

A Kumar, N Kumar and K B Thapa, Eur. Phys. J. Plus, 133:250 2018.

C Soukoulis, Photonic Band Gap Materials, 71–79, Kluwer Academic, Dordrecht, 1996.

J P Dowling, Science 282:1841 1998.

E Yablonovitch, Opt. Lett. 23:1648 1998.

D N Chigrin, A V Lavrinenko, D A Yarotsky andS V Gaponenko, Appl. Phys. A: Mater. Sci. Process. 68:25 1999.

B Suthar, V Kumar, Kh S Singh and A Bhargava, Opt. Commun. 285(6):1505-1509 2012.

V Kumar, Kh S Singh, S K Singh and S P Ojha, Prog. Electromagn. Res., PIER M 14:101-111 2010.

G Guida, A de-Lustrac and P Priou, Prog. Electromagn. Res., PIER 41:1 2003.

B Suthar and A Bhargava, IEEE: Photon. Tech. Lett., DOI:10.1109/LPT.2011.2178401.

C M Soukoulis, Photonic band gaps and localization, NATO ARW, Plenum Press, New York, 1993.

D R Smith, R Dalichaouch, N Kroll and S Schultz, J. Opt. Soc. Am., 10(2):314 1993.

V Kumar, Kh S Singh and S P Ojha, Optik, 122:1183-1187 2011.

J D Joannopoulos, R D Meade and J N Winn, Photonic Crystal: Molding Flow of Light, Princeton Univ. Press, Princeton, 1995.

H Y Lee and T Yao, J. Appl. Phys., 93:819 2003.

Z M Jiang, B Shi, D T Zhao, J Liu and X Wang, Appl. Phys. Lett., 79:3395 2001.

M W Feise, I V Shadrivov and Y S Kivshar, Phys. Rev. E, 71:037602 2005.

W D Zhou, J Sabarinathan, P Bhattacharya, B Kochman, E W Berg, P C Yu and S W Pang, IEEE: J. Quantum Electron, 37:1153 2001.

P Yeh, Optical Waves in Layered Media, John Wiley and Sons, New York,1988.



How to Cite

Dr. Vipin Kumar, Kumar R. Impact of Incident Angle on Defect Modes in Symmetric and Asymmetric One-Dimensional Photonic Crystals. J. Cond. Matt. [Internet]. 2024 Jan. 25 [cited 2024 Apr. 21];2(01):6-10. Available from:



Research Article