Abstract
Directivity of radiation from a localized source coupled to electromagnetic crystals is investigated theoretically using a two-dimensional model. The closed form expression for the far field of radiation is derived and used to examine two primary factors governing the directivity. It is shown that the directivity is uniquely characterized by the transmission windows of the electromagnetic crystals in the frequency and angular spectral domains and the Fabry-Perot resonance condition for the radiated field in the space surrounding the source.
Similar content being viewed by others
References
E. Yablonovitch, “Photonic band-gap structures,” J Opt Soc Am B 10 (2), 283–295 (1993).
A. Scherer, T. Doll, E. Yablonovitch, H. O. Everitt, and J. A. Higgins, “Mini-special issue on electromagnetic crystal structures, design, synthesis, and applications,” IEEE Trans Microwave Theory Tech 47 (11), 2057–2150 (1999).
M. M. Sigalas et al., “Dipole antennas on photonic band-gap crystals–experiment and simulation,” Microwave and Opt Tech Lett 15 (3), 153–158 (1997).
E. Ozbay et al., “Measurement of a three-dimensional photonic band gap in a crystal structure made of dielectric rods,” Phys Rev B 50 (3), 1945–1949 (1994).
G. Tayeb and D. Maystre, “Rigorous theoretical study of finite-size two-dimensional photonic crystals doped by microcavities,” J Opt Soc Am A 14 (12), 3323–3332 (1997).
M. Thevenot, M. S. Denis, A. Reineix, and B. Jecko, “Design of a new photonic cover to increase antenna directivity,” Microwave and Opt Tech Lett 22 (2), 136–139 (1999).
Y. J. Lee, J. Yeo, K. D. Ko, R. Mittra, Y. Lee, and W. S. Park, “A novel design technique for control of defect frequencies of an electromagnetic bandgap (EBG) superstrate for dual-band directivity enhancement,” Microwave and Opt Tech Lett 42 (1), 25–31 (2004).
H. Y. D. Yang, “Theory of antenna radiation from photonic-bandgap materials,” Electromagnetics 19 (3), 255–276 (1999).
C. Caloz, A. K. Skrivervik, and F. E. Gardiol, “An efficient method to determine green’s functions of a two-dimensional photonic crystal excited by a line source–The phased-array method,” IEEE Trans. on Microwave Theory and Techniques 50 (5), 1380–1391 (2002).
M. Thevenot, C. Cheype, A. Reineix, and B. Jecko, “Directive Photonic-Bandgap Antennas,” IEEE Trans on Microwave Theory and Techniques 47 (11), 2115–2122 (1999).
V. Jandieri, K. Yasumoto, and H. Toyama, “Radiation from a line source placed in two-dimensional photonic crystals,” International Journal of Infrared and Millimeter Waves 28 (12), 1161–1173 (2007).
Acknowledgment
This work was supported by the 2008 Special Coordination Funds for Promoting Science and Technology granted by the Ministry of Education, Culture, Sports, Science and Technology, Japan
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Jandieri, V., Yasumoto, K. & Gupta, B. Directivity of Radiation from a Localized Source Coupled to Electromagnetic Crystals. J Infrared Milli Terahz Waves 30, 1102–1112 (2009). https://doi.org/10.1007/s10762-009-9524-4
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10762-009-9524-4