Asymptotic wave-like modeling of dielectric lenses
DOI:
https://doi.org/10.1109/ICATT.2007.4425123Keywords:
dielectric, THz, asymptotic, full wave, high frequency, infrared lens, microwave modeling, physical optics, simulationAbstract
We propose asymptotic wave-like approximations for the accurate modeling of dielectric lenses used in quasi-optical systems of millimeter, submillimeter, and infrared wave applications. For the comparison, we obtain an exact full-wave solution of two-dimensional focusing lens problem and use it as a benchmark for testing and validation of asymptotic models being proposed.References
BOWDEN, M.; TAYLOR, ANDY N.; GANGA, KEN M.; ADE, PETER A.; BOCK, JAMES J.; CAHILL, GARY A.; CARLSTROM, JOHN E.; CHURCH, SARAH E.; GEAR, WALTER K.; HINDERKS, JAMES R.; HU, WAYNE; KEATING, BRIAN G.; KOVAC, JOHN; LANGE, ANDREW E.; LEITCH, ERIK M.; MAFFEI, BRUNO; MALLIE, OLIVIER; MELHUISH, SIMON J.; MURPHY, JOHN ANTHONY; PISANO, GIAMPAOLO; PICCIRILLO, LUCIO; PRYKE, CLEM; RUSHOLME, BEN A.; O'SULLIVAN, CREIDHE M.; THOMPSON, KEITH L.; ZEMCOV, MICHAEL. Measuring the cosmic microwave background polarization with the QUaD experiment. Proc. SPIE, 2004, v.5489, p.84-94, doi: http://dx.doi.org/10.1117/12.551110.
CHURCH, SARAH; ADE, PETER; BOCK, JAMES; BOWDEN, MELANIE; CARLSTROM, JOHN; GANGA, KEN; GEAR, WALTER; HINDERKS, JAMES; HU, WAYNE; KEATING, BRIAN; KOVAC, JOHN; LANGE, ANDREW; LEITCH, ERIC; MALLIE, OLIVIER; MELHUISH, SIMON; MURPHY, ANTHONY; RUSHOLME, BEN; O’SULLIVAN, CREIDHE; PICCIRILLO, LUCIO; PRYKE, CLEM; TAYLOR, ANDY; THOMPSON, KEITH. QUEST on DASI: a South Pole CMB polarization experiment. New Astronomy Reviews, Dec. 2003, v.47, n.11-12, p.1083-1089, doi: http://dx.doi.org/10.1016/j.newar.2003.09.033.
BALANIS, C.A. Advanced Engineering Electromagnetics. New York: John Wiley and Sons, 1989.
SADIKU, M.N.O. Numerical Techniques in Electromagnetics. London: CRC Press, 1992.
MULLER, C. Foundations of the Mathematical Theory of Electromagnetic Waves. Berlin: Springer-Verlag, 1969, doi: http://dx.doi.org/10.1007/978-3-662-11773-6.
PRATHER, D.W.; MIROTZNIK, M.S.; MAIT, J.N. Boundary integral methods applied to the analysis of diffractive optical elements. J. Opt. Soc. Am. A, 1997, v.14, n.1, p.34-43, doi: http://dx.doi.org/10.1364/JOSAA.14.000034.
FIKIORIS, G. A note on the method of analytical regularization. IEEE Antennas Propag. Mag., 2001, v.43, n.2, p.34-40, doi: http://dx.doi.org/10.1109/74.924602.
BORISKINA, S.V.; SEWELL, PHILLIP; BENSON, TREVOR M.; NOSICH, ALEXANDER I. Accurate simulation of two-dimensional optical microcavities with uniquely solvable boundary integral equations and trigonometric Galerkin discretization. J. Opt. Soc. Am. A, 2004, v.21, n.3, p.393-402, doi: http://dx.doi.org/10.1364/JOSAA.21.000393.
BORISKIN, A.V.; NOSICH, ALEXANDER I.; BORISKINA, SVETLANA V.; BENSON, TREVOR M.; SEWELL, PHILLIP; ALTINTAS, AYHAN. Lens or resonator? Electromagnetic behavior of an extended hemielliptic lens for a sub-millimeter-wave receiver. Microwave and Opt. Technol. Letters, 2004, v.43, n.6, p.515-518, doi: http://dx.doi.org/10.1002/mop.20520.
YE, JIA-SHENG; DONG, BI-ZHEN; GU, BEN-YUAN; YANG, GUO-ZHEN; LIU, SHU-TIAN. Analysis of a closed-boundary axilens with long focal depth and high transverse resolution based on rigorous electromagnetic theory. J. Opt. Soc. Am. A, 2002, v.19, n.10, p.2030-2035, doi: http://dx.doi.org/10.1364/JOSAA.19.002030.
FENG, DI; YAN, YINGBAI; JIN, GUOFAN; FAN, SHOUSHAN. Axial focusing characteristics of diffractive micro-lenses based on a rigorous electromagnetic theory. J. Opt. A Pure Appl. Opt., 2004, v.6, p.1067-1071, doi: http://dx.doi.org/10.1088/1464-4258/6/12/002.
YE, JIA-SHENG; GU, BEN-YUAN; DONG, BI-ZHEN; LIU, SHU-TIAN. Applications of improved first Rayleigh-Sommerfeld method to analyze the performance of cylindrical microlenses with different f-numbers. J. Opt. Soc. Am. A, 2005, v.22, n.5, p.862-869, doi: http://dx.doi.org/10.1364/JOSAA.22.000862.
DUAN, KAILIANG; LÜ, BAIDA. Improved diffraction integral for studying the diffracted field of a spherical microlens. J. Opt. Soc. Am. A, 2005, v.22, n.12, p.2677-2681, doi: http://dx.doi.org/10.1364/JOSAA.22.002677.
