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Optical Beamforming Networks (OBFNs) is used to optimized the received signal power in airplane-satellite communication by controlling the signal beams towards the desired direction. The control of these OBFNs is a difficult and very complex nonlinear problem. The complexity of OBFN can be reduced by lowering the bandwidth of the modulated optical signals at its inputs. It can be achieved by performing optical single-sideband suppressed-carrier (SSB-SC) modulation. However, there is potential problem due to the fact that the phase relation between the optical carrier and the remaining sideband is lost when the group delay response is only optimized for the sideband frequency range. Optical phase synchronization is used to correct this issue by adding extra phase shifters. However, there is not any simple yet effective method to determine the value of the extra phase shifters needed for a certain OBFN. This paper propose a simple and computationally cheap feedback approximation approach to solve this problem.
 R. C. Hansen, Phased Array Antennas, John Wiley & Sons, 2009.
 A. Meijerink, C. Roeloffzen, L. Zhuang, D. Marpaung, R. Heideman, A. Borreman and W. v. Etten, "Phased array antenna steering using a ring resonator-based optical beam forming network," in IEEE Symposium on Communications and Vehicular Technology, Liege, 2006.
 G. Lenz, B. Eggleton, C. K. Madsen and R. Slusher, "Optical delay lines based on optical filters," IEEE Journal of Quantum Electronics vol. 37, no. 4, pp. 525-532, 2001.
 L. Zhuang, C. G. Roeloffzen and W. V. Etten, "Continuously tunable optical delay line," in IEEE Symposium on Communications and Vehicular Technology, Twente, 2005.
 A. Meijerink, C. Roeloffzen, R. Meijerink, L. Zhuang and D. Marpaung, "Novel ring resonatorbased integrated photonic beamformer for broadband phased array receive antennas - Part I: Design and performance analysis," Journal of Lightwave Technology, p. 318, 2010.
 L. Zhuang, C. Roeloffzen, A. Meijerink, M. Burla, D. Marpaung, A. Leinse, M. Hoekman, R. Heideman and W. v. Etten, "Novel ring resonator-based integrated photonic beamformer for broadband phased array receive antennas - Part II: Experimental prototype," Lightwave Technology, Journal of, vol. 28, no. 1, p. 1931, 2010.
 L. Zhuang, "Time-delay properties of optical ring resonators," Masters thesis, University of Twente, 2005.
 H. Schippers, J. Verpoorte, P. Jorna, A. Hulzinga, A. Meijerink, C. Roeloffzen, L. Zhuang, D. Marpaung, W. v. Etten and R. Heideman, "Broadband conformal phased array with optical beamforming for airborne satellite communication," in 2008 IEEE Aerospace Conference, Big Sky, Montana, USA, 2008.
 A. Garca, "Optical phase synchronization in coherent optical beamformers for phased array receive antennas," Masters thesis, University of Twente, 2009.
 D. G. Rabus, Integrated Ring Resonators: The Compendium, ser. Springer Series in Optical Sciences., Berlin: Springer, 2007.
 R. Blokpoel, "Staggered delay tuning algorithms for ring resonators in optical beamforming networks," Masters thesis, University of Twente, 2007.