Lens or resonator? Electromagnetic behavior of an extended hemielliptic lens for a sub‐millimeter‐wave receiver

The behavior of a 2D model of an extended hemielliptic silicon lens of a size typical for THz applications is accurately studied for the case of a plane E-wave illumination. The full-wave analysis of the scattering problem is based on the Muller's boundary integral-equations (MBIE) that are uniquely solvable. A Galerkin discretization scheme with a trigonometric basis leads to a very efficient numerical algorithm. The numerical results related to the focusability of the lens versus its rear-side extension and the angle of the plane-wave incidence, as well as near-field profiles, demonstrate strong resonances. Such effects can change the principles of optimal design of lens-based receivers. © 2004 Wiley Periodicals, Inc. Microwave Opt Technol Lett 43: 515–518, 2004; Published online in Wiley InterScience (www.interscience.wiley.com). DOI 10.1002/mop.20520

[1]  Claus Müller,et al.  Foundations of the mathematical theory of electromagnetic waves , 1969 .

[2]  Gabriel M. Rebeiz,et al.  Double-slot antennas on extended hemispherical and elliptical quartz dielectric lenses , 1993 .

[3]  P. de Maagt,et al.  Reflections inside an elliptical dielectric lens antenna , 1998 .

[4]  John B. Schneider,et al.  Inaccuracies in numerical calculation of scattering near natural frequencies of penetrable objects , 1993 .

[5]  G.V. Eleftheriades,et al.  Design and characterization of single and multiple beam MM-wave circularly polarized substrate lens antennas for wireless communications , 1999, IEEE Antennas and Propagation Society International Symposium. 1999 Digest. Held in conjunction with: USNC/URSI National Radio Science Meeting (Cat. No.99CH37010).

[6]  Trevor M Benson,et al.  Accurate simulation of two-dimensional optical microcavities with uniquely solvable boundary integral equations and trigonometric Galerkin discretization. , 2004, Journal of the Optical Society of America. A, Optics, image science, and vision.

[7]  J L Johnson,et al.  Quadrupole radiation from terahertz dipole antennas. , 2000, Optics letters.

[8]  Kai Chang,et al.  Dual-mode quasi-elliptic-function bandpass filters using ring resonators with enhanced-coupling tuning stubs , 2002 .

[9]  I. Wolff Microstrip bandpass filter using degenerate modes of a microstrip ring resonator , 1972 .

[10]  V. Rokhlin Rapid Solution of Integral Equations of Scattering Theory , 1990 .

[11]  J. V. Rudd,et al.  Influence of substrate-lens design in terahertz time-domain spectroscopy , 2002 .

[12]  Kai Chang,et al.  Compact dual-mode elliptic-function bandpass filter using a single ring resonator with one coupling gap , 2000 .

[13]  S. M. Kirkup,et al.  Solution of Helmholtz Equation in the Exterior Domain by Elementary Boundary Integral Methods , 1995 .

[14]  P. Jepsen,et al.  Radiation patterns from lens-coupled terahertz antennas. , 1995, Optics letters.