Asymptotic of the Green function for the diffraction by a perfectly conducting plane perturbed by a sub-wavelength rectangular cavity
✍ Scribed by E. Bonnetier; F. Triki
- Publisher
- John Wiley and Sons
- Year
- 2009
- Tongue
- English
- Weight
- 401 KB
- Volume
- 33
- Category
- Article
- ISSN
- 0170-4214
- DOI
- 10.1002/mma.1194
No coin nor oath required. For personal study only.
✦ Synopsis
This work is aimed at understanding the amplification and confinement of electromagnetic fields in open subwavelength metallic cavities. We present a theoretical study of the electromagnetic diffraction by a perfectly conducting planar interface, which contains a sub-wavelength rectangular cavity. We derive a rigorous asymptotic of the Green function associated with the Helmholtz operator when the width of the cavity shrinks to zero. We show that the limiting Green function is that of a perfectly conducting plane with a dipole in place of the cavity. We give an explicit description of the effective dipole in terms of the wavelength and of the geometry of the cavity.