OSA's Digital Library

Journal of the Optical Society of America A

Journal of the Optical Society of America A

| OPTICS, IMAGE SCIENCE, AND VISION

  • Editor: Stephen A. Burns
  • Vol. 26, Iss. 2 — Feb. 1, 2009
  • pp: 259–264

Exact off-resonance near fields of small-size extended hemielliptic 2-D lenses illuminated by plane waves

Artem V. Boriskin, Ronan Sauleau, and Alexander I. Nosich  »View Author Affiliations


JOSA A, Vol. 26, Issue 2, pp. 259-264 (2009)
http://dx.doi.org/10.1364/JOSAA.26.000259


View Full Text Article

Enhanced HTML    Acrobat PDF (1185 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

The near fields of small-size extended hemielliptic lenses made of rexolite and isotropic quartz and illuminated by E- and H-polarized plane waves are studied. Variations in the focal domain size, shape, and location are reported versus the angle of incidence of the incoming wave. The problem is solved numerically in a two-dimensional formulation. The accuracy of results is guaranteed by using a highly efficient numerical algorithm based on the combination of the Muller boundary integral equations, the method of analytical regularization, and the trigonometric Galerkin discretization scheme. The analysis fully accounts for the finite size of the lens as well as its curvature and thus can be considered as a reference solution for other electromagnetic solvers. Moreover, the trusted description of the focusing ability of a finite-size hemielliptic lens can be useful in the design of antenna receivers.

© 2009 Optical Society of America

OCIS Codes
(040.1240) Detectors : Arrays
(220.0220) Optical design and fabrication : Optical design and fabrication
(220.3630) Optical design and fabrication : Lenses
(040.2235) Detectors : Far infrared or terahertz

ToC Category:
Optical Design and Fabrication

History
Original Manuscript: September 9, 2008
Manuscript Accepted: November 20, 2008
Published: January 22, 2009

Citation
Artem V. Boriskin, Ronan Sauleau, and Alexander I. Nosich, "Exact off-resonance near fields of small-size extended hemielliptic 2-D lenses illuminated by plane waves," J. Opt. Soc. Am. A 26, 259-264 (2009)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-26-2-259


Sort:  Author  |  Year  |  Journal  |  Reset  

References

  1. G. Godi, R. Sauleau, and D. Thouroude, “Performance of reduced size substrate lens antennas for mm-wave communications,” IEEE Trans. Antennas Propag. 53, 1278-1286 (2005). [CrossRef]
  2. J. Rudd and D. Mittleman, “Influence of substrate-lens design in terahertz time-domain spectroscopy,” J. Opt. Soc. Am. B 19, 319-329 (2002). [CrossRef]
  3. A. D. Greenwood and J.-M. Jin, “A field picture of wave propagation in inhomogeneous dielectric lenses,” IEEE Antennas Propag. Mag. 41, 9-18 (1999). [CrossRef]
  4. P. Varga, “Focusing of electromagnetic radiation by hyperboloidal and ellipsoidal lenses,” J. Opt. Soc. Am. A 19, 1658-1667 (2002). [CrossRef]
  5. A. V. Boriskin and A. I. Nosich, “Whispering-gallery and Luneburg-lens effects in a beam-fed circularly-layered dielectric cylinder,” IEEE Trans. Antennas Propag. 50, 1245-1249 (2002). [CrossRef]
  6. A. V. Boriskin, S. V. Boriskina, A. I. Nosich, T. M. Benson, P. Sewell, and A. Altintas, “Lens or resonator?--electromagnetic behavior of an extended hemielliptical lens for a sub-mm wave receiver,” Microwave Opt. Technol. Lett. 43, 515-158 (2004). [CrossRef]
  7. J. Wiersig, “Formation of long-lived, scarlike modes near avoided resonance crossings in optical microcavities,” Phys. Rev. Lett. 97, 253901 (2006). [CrossRef]
  8. A. V. Boriskin, G. Godi, R. Sauleau, and A. I. Nosich, “Small hemielliptic dielectric lens antenna analysis in 2-D: boundary integral equations vs. geometrical and physical optics,” IEEE Trans. Antennas Propag. 56, 485-492 (2008). [CrossRef]
  9. J. V. Rudd, J. L. Johnson, and Daniel M. Mittleman, “Cross-polarized angular emission patterns from lens-coupled terahertz antennas,” J. Opt. Soc. Am. B 18, 1524-1533 (2001). [CrossRef]
  10. X. Wu, G. V. Eleftheriades, and T. E. van Deventer-Perkins, “Design and characterization of single and multiple-beam mm-wave circularly polarized substrate lens antennas for wireless communications,” IEEE Trans. Microwave Theory Tech. 49, 431-441 (2001). [CrossRef]
  11. D. Pasqualini and S. Maci, “High-frequency analysis of integrated dielectric lens antennas,” IEEE Trans. Antennas Propag. 52, 840-847 (2004). [CrossRef]
  12. A. V. Boriskin, A. Rolland, R. Sauleau, and A. I. Nosich, “Validation of FDTD accuracy in the compact hemielliptic dielectric lens antenna analysis,” IEEE Trans. Antennas Propag. 56, 758-764 (2008). [CrossRef]
  13. A. V. Boriskin, A. Rolland, R. Sauleau, and A. I. Nosich, “Test of the FDTD accuracy in the analysis of the scattering resonances associated with high-Q whispering-gallery modes of a circular cylinder,” J. Opt. Soc. Am. A 25, 1169-1173 (2008). [CrossRef]
  14. S. V. Boriskina, T. M. Benson, P. Sewell, and A. I. Nosich, “Accurate simulation of 2D optical microcavities with uniquely solvable boundary integral equations and trigonometric-Galerkin discretization,” J. Opt. Soc. Am. A 21, 393-402 (2004). [CrossRef]
  15. D. Wilton, “Review of current status and trends in the use of integral equations in computational electromagnetics,” Electromagnetics 12, 287-341 (1992). [CrossRef]
  16. L. Rogobete and C. Henkel, “Spontaneous emission in a subwavelength environment characterized by boundary integral equations,” Phys. Rev. A 70, 063815 (2004). [CrossRef]
  17. J. Wiersig, “Boundary element method for resonances in dielectric microcavities,” J. Opt. A, Pure Appl. Opt. 5, 53-60 (2003). [CrossRef]
  18. M. S. Kurdoglyan, S.-Y. Lee, S. Rim, and C.-M. Kim, “Unidirectional lasing from a microcavity with a rounded isosceles triangle shape,” Opt. Lett. 29, 2758-2760 (2004). [CrossRef] [PubMed]
  19. V. Rokhlin, “Rapid solution of integral equations of scattering theory in two dimensions,” J. Comput. Phys. 86, 414-439 (1990). [CrossRef]
  20. J. L. Tsalamengas, “Exponentially convergent Nystrom methods applied to integral-integrodifferential equations of oblique scattering/hybrid wave propagation in presence of composite dielectric cylinders of arbitrary cross section,” IEEE Trans. Antennas Propag. 55, 3239-3250 (2007). [CrossRef]
  21. A. I. Nosich, E. I. Smotrova, S. V. Boriskina, T. M. Benson, and P. Sewell, “Trends in microdisk laser research and linear optical modelling,” Opt. Quantum Electron. 39, 1253-1272 (2007). [CrossRef]

Cited By

Alert me when this paper is cited

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.


« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited