volume | PIER Journals

Abstract

Off-axis ellipsoid reflector based off-focus configuration for deastigmatism and circularization of an elliptical Gaussian beam is proposed. Mostly used off-axis ellipsoid reflector based conventional configuration is constructed by aligning the incident direction directed to one focus of the ellipsoid, which reflect the output beam to the another focus of the ellipsoid. However, such configuration is unavailable to deastigmatize and circularize an elliptical Gaussian beam. Therefore, the coupling efficiency between the reflected beam and an essentially circular beam is not well satisfied. In this case, an off-axis ellipsoid reflector based off-focus configuration is proposed to obtain better coupling efficiency. Different from the conventional configuration, in the proposed off-focus configuration, the incident beam direction is diverged from one focus of the ellipsoid. As a result, the coupling efficiency of no less than 99.9% (as compared with coupling efficiency of about 94.2% based on conventional configuration) can be obtained, which is verified with numerical calculations.

1. Goldsmith, P. F., Quasioptical Systems: Gaussian Beam Quasioptical Propogation and Applications, IEEE Press, January 1998.

2. Gaebe, C. E., S. Huang, K. A. Miller, T. Stanley, and G. T. Wiand, "Cruciform cylindrical lens for elliptical beam transformation,", U.S. patent 5,973,853, October 26, 1999. Google Scholar

3. Hanada, H., "Beam shaping optical system,", U.S. patent 4,318,594, March 9, 1982. Google Scholar

4. Wagner-Gentner, A., U. U. Graf, M. Philipp, and D. Rabanus, "A simple method to design astigmatic off-axis mirrors," Infrared Physics & Technology, Vol. 50, No. 11, 42-46, 2007.
doi:10.1016/j.infrared.2006.03.001 Google Scholar

5. James, G. L. and P. Peregrinus, Geometrical Theory of Diffraction for Electromagnetic Waves, 1976.

6. Rieckmann, C., "Novel modular approach based on Gaussian beam diffraction for analysing quasi-optical multi-reflector antennas ," IEE Proc.-Microw. Antennus Propag., Vol. 149, No. 3, June 2002. Google Scholar

7. McEwan, N. J. and P. F. Goldsmith, "Gaussian beam techniques for illuminating reflector antennas," IEEE Transactions on Antennas and Propagation, 2002. Google Scholar

8. Kildal, P.-S., "Synthesis of multireflector antennas by kinematic and dynamic ray tracing," IEEE Transactions on Antennas and Propagation, Vol. 38, 1587-1599, 1990.
doi:10.1109/8.59772 Google Scholar

9. Martin, R. J. and D. H. Martin, "Quasi-optical antennas for radiometric remote-sensing," Electron. Commun. Eng. J., 37-48, 1996.
doi:10.1049/ecej:19960106 Google Scholar

10. Chou, H.-T. and P. H. Pathak, "Uniform asymptotic solution for the EM reflection and diffraction of an arbitrary Gaussian beam by a smooth surface with an edge," Radio Sci., Vol. 32, No. 4, 1319-1336, 1997.
doi:10.1029/97RS00713 Google Scholar

11. Chou, H.-T., P. H. Pathak, and R. J. Burkholder, "Novel Gaussian beam method for the rapid analysis of large reflector antennas ," IEEE Transactions on Antennas and Propagation, Vol. 49, No. 6, 880-893, 2001.
doi:10.1109/8.931145 Google Scholar

12. Daubechies, I., "The wavelet transform, time-frequency localization and signal analysis," IEEE Transactions on Information Theory, Vol. 36, No. 5, 961-1005, 1990.
doi:10.1109/18.57199 Google Scholar

13. Einziger, P. D., S. Raz, and M. Shapira, "Gabor representation and aperture theory," Journal of the Optical Society of America A, Vol. 3, No. 4, 508-521, 1986.
doi:10.1364/JOSAA.3.000508 Google Scholar

14. Lugara, D. and C. Letrou, "Alternative to Gabor’s representation of plane aperture radiation," Electron. Lett., Vol. 34, No. 24, 2286-2287, 1998.
doi:10.1049/el:19981599 Google Scholar

Dr. Shan Yang

Professor Ming Bai

Dr. Jungang Miao