TY - GEN
T1 - Non-uniform sampling schemes for fast multilevel source imaging of reflector antenna surfaces
AU - Gergel, Alexander
AU - Boag, Amir
N1 - Publisher Copyright: © 2014 IEEE.
PY - 2014/11/12
Y1 - 2014/11/12
N2 - Reconstruction of the radiating fields or equivalent currents on a closed surface enclosing a radiating body, also termed source imaging, is a widely used method in antenna diagnosis for estimating inaccuracy of antenna fabrication or localizing antenna malfunction. The Rayleigh-Sommerfeld (RS) formulation with incoming wave Green function (A. J. Devaney, Mathematical foundations of imaging, tomography and wavefield inversion. Cambridge University Press, 2012) is used in this work to enable the back-propagation from the scalar field measurement on a planar surface. This method provides a good approximation for the field backpropagated from the measurement plane towards the source, though, due to truncation errors, it is suitable mostly for the metrology of directional arrays or large reflector antennas. Direct evaluation of the discretized back-propagation integral is characterized by a computational complexity (CC) of O(N4), where N=ka (a and k being the radius of the smallest sphere circumscribing the measurement domain and the wavenumber, respectively). For antennas that are very large compared to the wavelength, this computational bottleneck renders this approach unattractive. Significant reduction of the CC down to O(N 2logN) is achieved using a modified version of the multilevel non-uniform grid (MLNG) (Y. Brick and A. Boag, IEEE Trans. Ultrason., Ferroelectr., Freq. Control, 57/1, 262-273, 2010).
AB - Reconstruction of the radiating fields or equivalent currents on a closed surface enclosing a radiating body, also termed source imaging, is a widely used method in antenna diagnosis for estimating inaccuracy of antenna fabrication or localizing antenna malfunction. The Rayleigh-Sommerfeld (RS) formulation with incoming wave Green function (A. J. Devaney, Mathematical foundations of imaging, tomography and wavefield inversion. Cambridge University Press, 2012) is used in this work to enable the back-propagation from the scalar field measurement on a planar surface. This method provides a good approximation for the field backpropagated from the measurement plane towards the source, though, due to truncation errors, it is suitable mostly for the metrology of directional arrays or large reflector antennas. Direct evaluation of the discretized back-propagation integral is characterized by a computational complexity (CC) of O(N4), where N=ka (a and k being the radius of the smallest sphere circumscribing the measurement domain and the wavenumber, respectively). For antennas that are very large compared to the wavelength, this computational bottleneck renders this approach unattractive. Significant reduction of the CC down to O(N 2logN) is achieved using a modified version of the multilevel non-uniform grid (MLNG) (Y. Brick and A. Boag, IEEE Trans. Ultrason., Ferroelectr., Freq. Control, 57/1, 262-273, 2010).
UR - http://www.scopus.com/inward/record.url?scp=84916200638&partnerID=8YFLogxK
U2 - https://doi.org/10.1109/USNC-URSI.2014.6955455
DO - https://doi.org/10.1109/USNC-URSI.2014.6955455
M3 - منشور من مؤتمر
T3 - 2014 USNC-URSI Radio Science Meeting (Joint with AP-S Symposium), USNC-URSI 2014 - Proceedings
SP - 73
BT - 2014 USNC-URSI Radio Science Meeting (Joint with AP-S Symposium), USNC-URSI 2014 - Proceedings
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - 2014 USNC-URSI Radio Science Meeting (Joint with AP-S Symposium), USNC-URSI 2014
Y2 - 6 July 2014 through 11 July 2014
ER -