Progress In Electromagnetics Research
ISSN: 1070-4698, E-ISSN: 1559-8985
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By Y.-Z. Yu and W.-B. Dou

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In this paper, a quasi-optical Bessel resonator (QOBR) for generating approximations to Bessel-type modes at millimeter wavelengths have been designed and analyzed. A design approach is based on the quasi-optical techniques. In order to analyze the designed QOBR rigorously, a new method based on iterative Stratton-Chu formula (ISCF) is developed from the classical Fox-Li algorithm. And its validity is demonstrated. Numerical results reveal that at the output plane the intensity distributions of the Bessel-type modes of the QOBR are modulated by a bell-shaped envelope, and their phase patterns have a block-shaped profile except slight distortion on the edges of the element due to aperture diffraction. The effect of varying the parameters of the designed QOBR on the relevant output characteristics is also examined in our study.

Y.-Z. Yu and W.-B. Dou, "Quasi-Optical Bessel Resonator," Progress In Electromagnetics Research, Vol. 93, 205-219, 2009.

1. Durnin, J., "Exact solutions for nondiffracting beams. I. The scalar theory," J. Opt. Soc. Am. A, Vol. 4, No. 4, 651-654, 1987.

2. Durnin, J., J. J. Miceli, Jr., and J. H. Eberly, "Diffraction-free beams," Phys. Rev. Lett., Vol. 58, No. 15, 1499-1501, 1987.

3. Muys, P. and E. Vandamme, "Direct generation of Bessel beams," Appl. Opt., Vol. 41, No. 30, 6375-6379, 2002.

4. Hernandez-Aranda, R. I., S. Chavez-Cerda, and J. C. Gutierrez-Vega, "Theory of the unstable Bessel resonator," J. Opt. Soc. Am. A, Vol. 22, No. 9, 1909-1917, 2005.

5. Wu, F., Y. Chen, and D. Guo, "Nanosecond pulsed Bessel-Gauss beam generated directly from a Nd: YAG axicon-based resonator," Appl. Opt., Vol. 46, No. 22, 4943-4947, 2007.

6. Vasara, V., J. Turunen, and A. T. Friberg, "Realization of general nondiffracting beams with computer-generated holograms," J. Opt. Soc. Am. A, Vol. 6, No. 11, 1748-1754, 1989.

7. Salo, J., et al., "Millimeter-wave Bessel beams using computer holograms," Electron. Lett., Vol. 37, No. 13, 834-835, 2001.

8. Meltaus, J., et al., "Millimeter-wave beam shaping using holograms," IEEE Trans. Microwave Theory Tech., Vol. 51, No. 4, 1274-1279, 2003.

9. Cox, A. J. and D. C. Dibble, "Nondiffracting beam from a spatially filtered Fabry-Perot resonator," J. Opt. Soc. Am. A, Vol. 9, No. 2, 282-286, 1992.

10. Thewes, K., M. A. Karim, and A. A. S. Awwal, "Diffraction free beam generation using refracting systems," Opt. Laser Technol., Vol. 23, No. 2, 105-108, 1991.

11. Herman, R. M. and T. A. Wiggins, "Production and uses of diffractionless beams," J. Opt. Soc. Am. A, Vol. 8, No. 6, 932-942, 1991.

12. Monk, S., et al., "The generation of Bessel beams at millimetre-wave frequencies by use of an axicon," Opt. Commun., Vol. 170, 213-215, 1999.

13. Yu, Y. Z. and W. B. Dou, "Properties of approximate Bessel beams at millimeter wavelengths generated by fractal conical lens," Progress In Electromagnetics Research, Vol. 87, 105-115, 2008.

14. Yu, Y. Z. and W. B. Dou, "Generation of pseudo-Bessel beams at THz frequencies by use of binary axicons," Opt. Express, Vol. 17, No. 2, 888-893, 2009.

15. Yu, Y. Z. and W. B. Dou, "Generation of Bessel beams at mm- and sub mm-wavelengths by binary optical elements," Int. J. Infrared Milli. Waves, Vol. 29, No. 7, 693-703, 2008.

16. Yu, Y. Z. and W. B. Dou, "Generation of mm- and sub mm-wave Bessel beams using DOE's Designed by BOR-FDTD method and MGA," J. Infrared Milli. Terahz Waves, Vol. 30, No. 2, 172-182, 2009.

17. Cong, W. X., N. X. Chen, and B. Y. Gu, "Generation of nondiffracting beams by diffractive phase elements," J. Opt. Soc. Am. A, Vol. 15, No. 9, 2362-2364, 1998.

18. Durnin, J. and J. H. Eberly, Diffraction free arrangement, U.S. Patent 4,887,885, December 19, 1989.

19. Uehara, K. and H. Kikuchi, "Generation of nearly diffraction-free laser beams," Appl. Phys. B, Vol. 48, No. 2, 125-129, 1989.

20. Paakkonen, P. and J. Turunen, "Resonators with Bessel-Gauss modes," Opt. Commun., Vol. 156, 359-366, 1998.

21. Rogel-Salazar, J., G. H. C. New, and S. Chavez-Cerda, "Bessel-Gauss beam optical resonator," Opt. Commun., Vol. 190, 117-122, 2001.

22. Tsangaris, C. L., G. H. C. New, and J. Rogel-Salazar, "Unstable Bessel beam resonator," Opt. Commun., Vol. 223, 233-238, 2003.

23. Khilo, A. N., E. G. Katranji, and A. A. Ryzhevich, "Axicon-based Bessel resonator: Analytical description and experiment," J. Opt. Soc. Am. A, Vol. 18, No. 8, 1986-1992, 2001.

24. Gutierrez-Vega, J. C., R. Rodriguez-Masegosa, and S. Chavez-Cerda, "Bessel-Gauss resonator with spherical output mirror: geometrical and wave-optics analysis," J. Opt. Soc. Am. A, Vol. 20, No. 11, 2113-2122, 2003.

25. Fox, A. G. and T. Li, "Resonant modes in a maser interferometer," Bell Syst. Tech. J., Vol. 40, 453-488, 1961.

26. Hsu, W. and R. Barakat, "Stratton-Chu vectorial diffraction of electromagnetic fields by apertures with application to small-Fresnel-number systems," J. Opt. Soc. Am. A, Vol. 11, No. 2, 623-629, 1994.

27. Stratton, J. A., Electromagnetic Theory, McGraw-Hill, New York, 1941.

28. Gui, Y. F., W. B. Dou, K. Yin, and P. G. Su, Automated and precise dielectric measurement systems at millimeter wavelengths using open resonator technique, 2008 Global Symposium on Millimeter Waves, 66-69, 2008.

29. Gui, Y. F., W. B. Dou, K. Yin, and P. G. Su, "Open resonator system for automatic and precise dielectric measurement at millimeter wavelengths," Int. J. Infrared Milli. Waves, Vol. 29, No. 8, 782-791, 2008..

30. Gui, Y. F., W. B. Dou, K. Yin, and P. G. Su, "The improvement of open resonator technique for dielectric measurement at millimeter wavelengths," IET Microwaves, Antennas and Propagation, Accepted.

31. Asitya, S. and T. Naveen, "An automated open resonator technique for measurement of extinction cross-section of single falling water drops over X-band," Progress In Electromagnetics Research, Vol. 8, 161-171, 1994.

32. Perov, A. O., Y. K. Sirenko, and N. P. Yashina, "Periodic open resonators: Peculiarities of pulse scattering and spectral features," Progress In Electromagnetics Research, Vol. 46, 33-75, 2004.

33. Velychko, L. G. and Y. K. Sirenko, "Time-domain analysis of open resonators analytical grounds," Progress In Electromagnetics Research, Vol. 61, 1-26, 2006.

34. Geyi, W., "Time-domain theory of metal cavity resonator," Progress In Electromagnetics Research, Vol. 78, 219-253, 2008.

35. Saliminejad, R. and M. R. Ghafouri Fard, "A novel and accurate method for designing dielectric resonator filter," Progress In Electromagnetics Research B, Vol. 8, 293-306, 2008.

36. Shin, D. H. H. and T. Itoh, "A note on radiation loss of zeroth order resonators," Progress In Electromagnetics Research C, Vol. 2, 109-116, 2008.

37. Maab, H. and Q. A. Naqvi, "Fractional rectangular cavity resonator," Progress In Electromagnetics Research B, Vol. 9, 69-82, 2008.

38. Malekabadi, S. A., M. H. Neshati, and J. Rashed-Mohassel, "Circular polarized dielectric resonator antennas using a single probe feed," Progress In Electromagnetics Research C, Vol. 3, 81-94, 2008.

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