volume | PIER Journals

2005-04-18

Application of Integral Equation Method to Metal-Plate Lens Structures

Akira Matsushima,

Prof. Akira Matsushima

Fukuoka Institute of Technology

Japan

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Y. Nakamura,

Dr. Y. Nakamura

Department of Electrical and Computer Engineering

Kumamoto University

Japan

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S. Tomino

Dr. S. Tomino

Department of Electrical and Computer Engineering

Kumamoto University

Japan

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, Vol. 54, 245-262, 2005

doi:10.2528/PIER05011401

Abstract

The present paper concerns the design, numerical analysis, and measurement for simple metal-plate lens structures. The power of electromagnetic waves can be concentrated by arranging flat strips parallel to one another and adjusting the transverse and longitudinal length of the waveguide regions. The simple designing procedures are described for the lenses with plane, concave, and convex profiles. These steps are practically applied to construct the lenses for the X band. In order to discuss the dependence of focusing properties on the lens and source types, we numerically analyze the scattering problems using the integral equations combined with the moment method. The lenses are made up by aluminum plates, and the field amplitude in the transmission region is measured. We confirm the formation of the focus near the design point.

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Akira Matsushima, Y. Nakamura, and S. Tomino, "Application of Integral Equation Method to Metal-Plate Lens Structures," , Vol. 54, 245-262, 2005.
doi:10.2528/PIER05011401

References

1. Silver, S., Microwave Antenna Theory and Design, McGraw-Hill, 1949.

2. Collin, R. E. and F. J. Zucker, Antenna Theory, Part 2, 1969.

3. Johnson, R. C., Antenna Engineering Handbook, Third Edition, 1993.

4. Gallée, F., G. Landrac, and M. M. Ney, "Artificial lens for third-generation automotive radar antenna at millimetre-wave frequencies," IEE Proceedings-Microwave, Vol. 150, No. 6, 470-476, 2003.

5. Ghodgaonkar, D. K., V. V. Varadan, and V. K. Varadan, "A free-space method for measurement of dielectric constants and loss tangent at microwave frequencies," IEEE Trans. Instrum. Meas., Vol. 38, No. 3, 789-793, 1989.
doi:10.1109/19.32194

6. Frenkel, A., "External modes of two-dimensional thin scatterers," IEE Proceedings, Vol. 130, No. 3, 209-214, 1983.

7. Panasyuk, B. B., M. P. Savruk, and Z. T. Nazarchuk, Method of Singular Integral Equations in Two-Dimensional Diffraction Problems, Naukova Dumka, 1985.

8. Matsushima, A. and T. Itakura, "Singular integral equation approach to electromagnetic scattering from a finite periodic array of conducting strips," J. Electromagn. Waves Applic., Vol. 5, No. 6, 545-562, 1991.

9. Matsushima, A., T. L. Zinenko, H. Minami, and Y. Okuno, "Integral equation analysis of plane wave scattering from multilayered strip gratings," J. Electromagn. Waves Applic., Vol. 12, No. 11, 1449-1469, 1998.

10. Collin, R. E., Antennas and Radiowave Propagation, Sec. 4.4, 1985.

11. Pozar, D. M., Microwave Engineering, Sec. 3.3, 1998.

12. Marcuvitz, N., Waveguide Handbook, Sec. 5.23, 1951.

13. Abramowitz, M. and I. A. Stegun (eds.), Handbook of Mathematical Functions, 889, 1972.

14. Meixner, J., "The behavior of electromagnetic fields at edges," IEEE Trans. Antennas Propagat., Vol. AP-20, No. 4, 442-446, 1972.
doi:10.1109/TAP.1972.1140243

15. Collin, R. E., Field Theory of Guided Waves, Second edition, 1991.