Habitat for Creative Electromagneticists

N-Series Solutions and Aperture Coupling


Goals

We have developed N-series solutions of several canonical aperture coupling problems. We found that the interior resonances of an object can be strongly coupled to even though the apertures are very small. We have considered linear and nonlinear loading of those cavities.  

 

Papers

  1. A. K. Gautesen, R. W. Ziolkowski, and R. R. McLeod, “A solution to the scattering of electromagnetic waves from a dielectric semi-cylinder,” SIAM J. Appl. Math., Vol. 51(6), pp. 1556-1567, 1991.  

  2. Y-L. Kok, N. C. Gallagher, and R. W. Ziolkowski, “Dual series solution to the scattering of plane waves from a binary conducting grating,” IEEE Trans. Antennas and Propagat., Vol. 37(7), pp. 901-917, 1989.  

  3. R. W. Ziolkowski, D. P. Marsland, L. F. Libelo, and G. Pisane, “Scattering from an open spherical shell having a circular aperture and enclosing a concentric dielectric sphere,” IEEE Trans. Antennas and Propaga., Vol. 36(7), pp. 985-999, 1988.  

  4. R. W. Ziolkowski and W. A. Johnson, “Pseudo-decoupling ansatz for electromagnetic aperture coupling in three dimensions,” Radio Sci., Vol. 22(2), pp. 169-174, 1987.  

  5. R. W. Ziolkowski and W. A. Johnson, “Electromagnetic scattering of an arbitrary plane wave from a spherical shell with a circular aperture,” J. Math. Phys., Vol. 26(6), pp. 1293-1314, 1987.  

  6. R. W. Ziolkowski and J. B. Grant, “Scattering from cavity-backed apertures: The generalized dual series solution of the concentrically loaded E-pol slit cylinder problem,” IEEE Trans. Antennas and Propaga., Vol. AP-35(5), pp. 504-528, 1987.  

  7. R. W. Ziolkowski, “New electromagnetic resonance effects associated with cavity-backed apertures,” Radio Science, Vol. 22(2), pp. 169-174, 1987.  

  8. R. W. Ziolkowski and J. B. Grant, “Vortex formation near an iris in a rectangular waveguide,” IEEE Trans. Microwave Theory Tech., Vol. MTT-34(11), pp. 1164-1182, 1986.  

  9. R. W. Ziolkowski, “N-series problems and the coupling of electromagnetic waves to apertures: A Riemann-Hilbert approach,” SIAM J. Math. Anal., Vol. 16(2), pp. 358-378, 1985.  

  10. W. A. Johnson and R. W. Ziolkowski, “The scattering of an H-polarized plane wave from an axially slotted infinite cylinder: A dual series approach,” Radio Sci., Vol. 19(1), pp. 275-291, 1984.  

  11. R. W. Ziolkowski, W. A. Johnson, and K. F. Casey, “Applications of Riemann-Hilbert problem techniques to electromagnetic coupling through apertures,” Radio Sci., Vol. 19(12), pp. 1425-1431, 1984.