ظاهرشدن اختلال بر سطح بازتابنده اصلی سبب تغییر الگوی تشعشعی در آنتنهای بازتابنده شده و ویژگیهای تشعشعی این آنتن را به خصوص در فرکانسهای بالا تخریب میکند. روشهای متفاوتی برای جبرانسازی اثرات نامطلوب اختلال سطح بازتابنده اصلی وجود دارد. در این مقاله، نشان داده میشود که چگونه میتوان با استفاده از شکلدهی سطح بازتابنده فرعی اقدام به جبرانسازی این اثرات نمود. بر مبنای ریاضیات وردِشی میتوان الگوی تشعشعی آنتن بازتابنده را خطی سازی و بهصورت ماتریسی بازنویسی کرد. با استفاده از روش تفکیک مقادیر ویژه میتوان اقدام به حل مسئله معکوس نموده و نشان داده میشود که برای یک ساختار دوبازتابندهای، روش ارائه شده با دقت مناسبی قادر به طراحی بازتابنده فرعی مطلوب است. نتایج بهدست آمده نشان میدهد که اگر دامنه اختلال سطح بازتابنده اصلی کمتر از یکچهارم طول موج باشد، الگوریتم ارائهشده با دقت و سرعت قادر به طراحی بازتابنده فرعی مورد نظر است.
S. K. Sharma, S. Rao, and L. Shafai, âHandbook of Reflector Antennas and Feed Systems,â Volume I: Theory and Design of Reflectors, Artech house, 2013##
T. S. Bird, âReflector Antennas,â Singapore: Springer Singapore, pp.1â61, 2014##
Y. Rahmat-Samii and R. Haupt, âReflector Antenna Developments: a Perspective on the Past, Present and Future,â Antennas and Propagation Magazine, IEEE, vol. 57, pp. 85â95, April 2015##
D.-W. Duan and Y. Rahmat-Samii, âA Generalized Diffraction Synthesis Technique for High Performance Reflector Antennas,â Antennas and Propagation, IEEE Transactions on, vol. 43, no. 1, pp. 27â40, 1995##
G. Cortes-Medellin and P. F. Goldsmith, âAnalysis of Active Surface Reflector Antenna for a Large Millimeter Wave Radio Telescope,â Antennas and Propagation, IEEE Transactions on, vol. 42, no. 2, pp. 176â183, 1994##
Y. Rahmat-Samii, âEffects of Deterministic Surface Distortions on Reflector Antenna Performance,â in Annales des telecommunications, vol. 40, pp. 350â360, Springer, 1985##
J. Ruze, âAntenna Tolerance Theoryâa Review,â in IEEE Proceedings, vol. 54, pp. 633â642, 1966##
M. S. Zarghamee, âOn Antenna Tolerance Theory,â Antennas and Propagation, IEEE Transactions on, vol. 15, no. 6, pp. 777â781, 1967##
S. Ghobrial, âAxial Cross Polarization in Reflector Antennas with Surface Imperfections,â Antennas and Propagation, IEEE Transactions on, vol. 28, no. 5, pp. 610â616, 1980##
J. Jervase, S. Ghobrial, et al., âAxial Cross Polarization in Reflector Antennas with Surface Errors of Large Correlation Diameter,â Antennas and Propagation, IEEE Transactions on, vol. 31, no. 4, pp. 662â 665, 1983##
H. Ling, Y. T. Lo, and Y. Rahmat-Samii, âReflector Sidelobe Degradation due to Random Surface Errors,âAntennas and Propagation, IEEE Transactions on, vol. 34, no. 2, pp. 164â172, 1986##
P. Lian, B. Duan, W. Wang, B. Xiang, and N. Hu, âEffects of non-Uniform Surface Errors Along the Radius on Reflectorâs Radiation Characteristic and Its Quality Evaluation,â Antennas and Propagation, IEEE Transactions on, vol. 63, no. 5, pp. 2312â 2316, 2015##
R. P. Corkish, âA Survey of the Effects of Reflector Surface Distortions on Sidelobe Levels,â Antennas and Propagation Magazine, IEEE, vol. 32, no. 6, pp. 6â11, 1990##
P. Rocca, N. Anselmi, and A. Massa, âInterval Arithmetic for Pattern Tolerance Analysis of Parabolic Reflectors,â Antennas and Propagation, IEEE Transactions on, vol. 62, no. 10, pp. 4952â4960, 2014##
J.-W. Kim, B. S. Kim, S. Nam, and C. W. Lee, âComputation of the Average Power Pattern of a Reflector Antenna with Random Surface Errors and Misalignment Errors,â Antennas and Propagation, IEEE Transactions on, vol. 44, no. 7, pp. 996â999, 1996##
S. Zhang, B. Duan, H. Bao, and P. Lian, âSensitivity Analysis of Reflector Antennas and Its Application on Shaped Geo-Truss Unfurlable Antennas,â Antennas and Propagation, IEEE Transactions on, vol. 61, no. 11, pp. 5402â5407, 2013##
K. Bahadori and Y. Rahmat-Samii, âCharacterization of Effects of Periodic and Aperiodic Surface Distortions on Membrane Reflector Antennas,â Antennas and Propagation, IEEE Transactions on, vol. 53, no. 9, pp. 2782â2791, 2005##
A. Greve and D. Morris, âRepetitive Radio Reflector Surface Deformations,â Antennas and Propagation, IEEE Transactions on, vol. 53, no.6, pp.2123â2126, 2005##
W. T. Smith and R. J. Bastian, âAn Approximation of the Radiation Integral for Distorted Reflector Antennas Using Surface-Error Decomposition,â Antennas and Propagation, IEEE Transactions on, vol. 45, no. 1, pp. 5â10, 1997##
T.-H. Lee, R. Ruddock, and M. C. Bailey, âA Surface Distortion Analysis Applied to the Hoop/Column Deployable Mesh Reflector Antenna,â Antennas and Propagation, IEEE Transactions on, vol. 37, no. 4, pp. 452â458, 1989##
Y. Zong, B. Duan, Y. Ban, W. Wang, W. Xu, C. Wang, and J. Du, âSurface Configuration Design of Cable-Network Reflectors Considering the Radiation Pattern,â Antennas and Propagation, IEEE Transactions on, vol. 62, no. 6, pp. 3163â3173, 2014##
R. J. Langley and E. A. Parker, âWave Scattering from Error-Compensating Secondary Reflectors,â IEEE Transactions on Antennas and Propagation, vol. 27, pp. 527â530, 1979##
B. M. Thomas and P. Rayner, âEffect of Surface Distortions on the Crosspolarisation Performance of Paraboloidal Reflectors,â Electronics Letters, vol. 13, no. 16, pp. 478â480, 1977##
K. Chan and A. Raab, âSurface-Current Analysis of Distorted Reflector Antennas,â Microwaves, Optics and Antennas, IEEE Proceedings H, vol. 128, no. 4, pp. 206â212, 1981##
R. Hoferer, Y. Rahmat-Samii, et al., âSubreflector Shaping for Antenna Distortion Compensation: an Efficient Fourier-Jacobi Expansion with GO/PO Analysis,â Antennas and Propagation, IEEE Transactions on, vol. 50, no. 12, pp. 1676â1687, 2002##
R. Subrahmanyan, âPhotogrammetric Measurement of the Gravity Deformation in a Cassegrain Antenna,â IEEE transactions on antennas and propagation, vol. 53, no. 8, pp. 2590â2596, 2005##
J. W. Baars, âThe Paraboloidal Reflector Antenna in Radio Astronomy and Communication,â Springer, 2007##
Y. Rahmat-Samii, âMicrowave Holography of Large Reflector AntennasâSimulation Algorithms,â IEEE Transactions on antennas and Propagation, vol. 33, no. 11, pp. 1194â1203, 1985##
Y. Rahmat-Samii, âSurface Diagnosis of Large Reflector Antennas Using Microwave Holographic Metrology: an Iterative Approach,â Radio Science, vol. 19, no. 5, pp. 1205â1217, 1984##
J. Bennett, A. Anderson, P. McInnes, and A. Whitaker, âMicrowave Holographic Metrology of Large Reflector Antennas,â IEEE Transactions on Antennas and Propagation, vol. 24, no. 3, pp. 295â303, 1976##
G. Harp, R. Ackermann, et al., âPrimary Beam and Dish Surface Characterization at the Allen Telescope Array by Radio Holography,â IEEE Transactions on Antennas and Propagation, vol. 59, no. 6, pp. 2004â 2021, 2011##
G. R. Harp, âprivate communication,â 2013â2015##
W. A. Imbriale, âDistortion Compensation Techniques for Large Reflector Antennas,â in Aerospace Conference, 2001, IEEE Proceedings, vol. 2, pp. 2â799, 2001##
R. Paradies and M. Hertwig, âShape Control of Adaptive Composite Reflectors,â Composites Part B: Engineering, vol.30, no.1, pp.65â78, 1999##
D. Gorinevsky and T. T. Hyde, âAdaptive Membrane for Large Lightweight Space Telescopes,â in Astronomical Telescopes and Instrumentation, pp.330â338, International Society for Optics and Photonics, 2002##
âFive hundred meter aperture spherical telescope,â http://www.fast.bao.ac.cn/##
âThe 305m telescope,â http://www.naic.edu/##
R. J. Acosta, âActive Feed Array Compensation for Reflector Antenna Surface Distortions,â 1988##
A. R. Cherrette, R. J. Acosta, P. T. Lam, and S.-W. Lee, âCompensation of Reflector Antenna Surface Distortion Using an Array Feed,â IEEE transactions on antennas and propagation, vol. 37, no. 8, pp. 966â978, 1989##
N. Amitay and H. Zucker, âCompensation of Spherical Reflector Aberrations by Planar Array Feeds,â IEEE Transactions on Antennas and Propagation, vol. 20, no. 1, pp. 49â56, 1972##
Y. Rahmat-Samii, âArray Feeds for Reflector Surface Distortion Compensation: Concepts and Implementation,â IEEE Antennas and Propagation Magazine, vol. 32, no. 4, pp. 20â26, 1990##
S. Xu, Y. Rahmat-Samii, and W. A. Imbriale, âSubreflectarrays for Reflector Surface Distortion Compensation,â IEEE Transactions on Antennas and Propagation, vol. 57, no. 2, pp. 364â372, 2009##
P. R. Lawson and J. L. Yen, âA Piecewise Deformable Subreflector for Compensation of Cassegrain Main Reflector Errors,â IEEE transactions on antennas and propagation, vol. 36, no. 10, pp. 1343â1350, 1988##
P. Cowles and E. Parker, âReflector Surface Error Compensation in Cassegrain Antennas,â IEEE Transactions on Antennas and Propagation, vol. 23, no. 3, pp. 323â328, 1975##
B. Gonzalez-Valdes, J. A. Martinez-Lorenzo, C. Rappaport, and A. G. Pino, âA New Physical Optics Based Approach toSubreflector Shaping for Reflector Antenna Distortion Compensation,â IEEE Transactions on Antennas and Propagation, vol. 61, no. 1, pp. 467â472, 2013##
A. Haddadi and A. Ghorbani, âDistorted Reflector Antennas: Analysis of Radiation Pattern and Polarization Performance,â IEEE Transactions on Antennas and Propagation, vol. 64, no. 10, pp. 4159â 4167, 2016##
A. Ludwig, âThe Definition of Cross Polarization,â IEEE Transactions on Antennas and Propagation, vol. 21, no. 1, pp. 116â119, 1973##
B. Noble, J. W. Daniel, et al., âApplied Linear Algebra,â Prentice-Hall New Jersey, vol. 3, 1988##
J. A. Martinez-Lorenzo, C. M. Rappaport, and A. G. Pino, âReflector Antenna Distortion Determination: an Iterative-Field-Matrix Solution,â Radio Science, vol. 43, no. 4, 2008##
C. Granet, âDesigning Axially Symmetric Cassegrain or Gregorian Dual-Reflector Antennas from Combinations of Prescribed Geometric Parameters, Minimum Blockage Condition While Taking into Account the Phase-Center of the Feed,â Antennas and Propagation Magazine, IEEE, vol. 40, no. 3, pp. 82â89, 1998.##
C. Granet, âDesigning Classical Offset Cassegrain or Gregorian Dual-Reflector Antennas from Combinations of Prescribed Geometric Parameters,â IEEE Antennas and Propagation Magazine, vol. 44, no. 3, pp. 114â123, 2002.##
حدادی, سیدابوالفضل, & قربانی, ایاز. (1396). جبرانسازی اثرات اختلال سطح آنتن بازتابنده با استفاده از بازتابنده فرعی شکل داده شده. رادار, 5(1), 1-14.
MLA
سیدابوالفضل حدادی; ایاز قربانی. "جبرانسازی اثرات اختلال سطح آنتن بازتابنده با استفاده از بازتابنده فرعی شکل داده شده", رادار, 5, 1, 1396, 1-14.
HARVARD
حدادی, سیدابوالفضل, قربانی, ایاز. (1396). 'جبرانسازی اثرات اختلال سطح آنتن بازتابنده با استفاده از بازتابنده فرعی شکل داده شده', رادار, 5(1), pp. 1-14.
VANCOUVER
حدادی, سیدابوالفضل, قربانی, ایاز. جبرانسازی اثرات اختلال سطح آنتن بازتابنده با استفاده از بازتابنده فرعی شکل داده شده. رادار, 1396; 5(1): 1-14.