Bibliography. [3] A.I. Borisenko and I.E. Tarapov. Vector and Tensor Analysis with Applications. Dover Publications, Inc., New York, 1968.

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1 Bibliography [1] L. B. Almeida. The fractional Fourier transform and time-frequency representations. Signal Processing, IEEE Transactions on, 42(11): , [2] V. Ashok Narayanan and K. M. M. Prabhu. The fractional fourier transform: theory, implementation and error analysis. Microprocessors and Microsystems, 27(10): , [3] A.I. Borisenko and I.E. Tarapov. Vector and Tensor Analysis with Applications. Dover Publications, Inc., New York, [4] V. P. Cable, L. A. S. Co, and C. A. Burbank. Iteration, multiple scattering and the sphere of influencetechnique. In Antennas and Propagation Society International Symposium, AP-S., pages 68 71, Dallas, USA, [5] C. Candan, M. A. Kutay, and H. M. Ozaktas. The discrete fractional Fourier transform. Signal Processing, IEEE Transactions on, 48(5): , [6] F. X. Canning. Singular value decomposition of integral equations of em and applications to the cavity resonance problem. Antennas and Propagation, IEEE Transactions on, 37(9): , [7] F. X. Canning. The impedance matrix localization (iml) method for moment-method calculations. Antennas and Propagation Magazine, IEEE, 32(5):18 30, [8] Wei Cao, X. H. Yan, and X. J. Zhu. A new modal formalism in analysis of radiation and scattering problems. In Antennas and Propagation Society International Symposium, AP-S., pages vol.2, San Jose, CA, USA, [9] C. H. Chan and R. Mittra. On the analysis of frequency-selective surfaces using subdomain basis functions. Antennas and Propagation, IEEE Transactions on, 38(1):40 50, [10] Wai-Kai Chen, editor. The Electrical Engineering Handbook. Elsevier Academic Press, [11] Y. L. Chow, J. J. Yang, D. G. Fang, and G. E. Howard. A closed-form spatial green s function for the thick microstrip substrate. Microwave Theory and Techniques, IEEE Transactions on, 39(3): , [12] T. A. Cwik and R. Mittra. Scattering from a periodic array of free-standing arbitrarily shaped perfectly conducting or resistive patches. IEEE Transactions on Antennas and Propagation, 35: , November 第 221 页

2 [13] N. K. Das and D. M. Pozar. A generalized spectral-domain green s function for multilayer dielectric substrates with application to multilayer transmission lines. Microwave Theory and Techniques, IEEE Transactions on, 35(3): , [14] K. R. Demarest and K. Kalbasi. Efficient iterative technique for large electromagnetic problems. Electronic Letters, 25: , [15] N. Engheta. On fractional calculus and fractional multipoles in electromagnetism. Antennas and Propagation, IEEE Transactions on, 44(4): , [16] D. G. Fang, J. J. Yang, and G. Y. Delisle. Discrete image theory for horizontal electric dipole in a multilayer medium. In Proc. Inst. Elect. Eng, volume 135, pages , [17] T. R. Ferguson, T. H. Lehman, and R. J. Balestri. Efficient solution of large moments problems - Theory and small problem results. IEEE Transactions on Antennas and Propagation, 24: , March [18] G. Goubau, N. N. Puri, and F. K. Schwering. Diakoptic theory for multielement antennas. IEEE Transactions on Antennas and Propagation, 30:15 26, January [19] R. Harrington and J. Mautz. Computation of characteristic modes for conducting bodies. Antennas and Propagation, IEEE Transactions on [legacy, pre ], 19(5): , [20] W. Hong, W. Sun, and W. Dai. Fast parameters extraction of multilayer multiconductor interconnects using geometry independent measured equation of invariance,. In IEEE MCM Conference, volume 5, pages , Santa Cruz, USA, [21] N. Inagaki and R. Garbacz. Eigenfunctions of composite hermitian operators with application to discrete and continuous radiating systems. Antennas and Propagation, IEEE Transactions on [legacy, pre ], 30(4): , [22] T. Itoh. Spectral domain immitance approach for dispersion characteristics of generalized printed transmission lines. Microwave Theory and Techniques, IEEE Transactions on, 28(7): , [23] J. O. Jevti and R. Lee. An analytical characterization of the error in the measuredequation of invariance. Antennas and Propagation, IEEE Transactions on,, 43(10): , [24] Jianming Jin. The Finite Element Method in Electromagnetics. John Wiley & Sons, Inc., 2nd edition, 第 222 页

3 [25] Chen Jun and Hong Wei. An iterative algorithm based on the measured equation of invariance for the scattering analysis of arbitrary multicylinders. Antennas and Propagation, IEEE Transactions on, 47(9): , [26] Chen Jun, Hong Wei, and Jin Jian-Ming. An iterative measured equation technique for electromagnetic problems. Microwave Theory and Techniques, IEEE Transactions on, 46(1):25 30, [27] J. Y. Ke and C. H. Chen. Dispersion and attenuation characteristics of coplanar waveguides with finite metallization thickness and conductivity, [28] E. F. Knott. A progression of high-frequency rcs prediction techniques. Proceedings of the IEEE, 73(2): , [29] J. A. Kong. Electromagnetic Waves Theory. EMW Publishing, 2nd edition, [30] Y. W. Liu, K. K. Mei, and K. N. Yung. Differential formulation of on-surface measured equation of invariance for 2-d conducting scatterings. Microwave and Guided Wave Letters, IEEE [see also IEEE Microwave and Wireless Components Letters], 8(2):99 101, [31] A. C. McBride and F. H. Kerr. On Namias s fractional Fourier transforms. IMA Journal of Applied Mathematics, 39(2):159, [32] K. K. Mei, R. Pous, Chen Zhaoqing, Liu Yao-Wu, and M. D. Prouty. Measured equation of invariance: a new concept in field computations. Antennas and Propagation, IEEE Transactions on, 42(3): , [33] D. Mendlovic and H. M. Ozaktas. Fractional Fourier transforms and their optical implementation: I. Journal of the Optical Society of America A, 10(9): , [34] K. S. Miller and B. Ross. An Introduction to the Fractional Calculus and Fractional Differential Equations. John Wiley & Sons, Inc., [35] R. Mittra, C.H. Chan, and T. Cwik. Techniques for analyzing frequency selective surfaces - a review. Proceedings of the IEEE, 76(12): , [36] V. Namias. The fractional order Fourier transform and its application to quantum mechanics. IMA Journal of Applied Mathematics, 25(3):241, [37] K. B. Oldham and J. Spanier. The Fractional Calculus: Theory and Applications of Differentiation and Integration to Arbitrary Order. Academic Press, 第 223 页

4 [38] H. Ozaktas and D. Mendlovic. Fractional Fourier transforms and their optical implementation: II. Journal of the Optical Society of America A, 10(12): , [39] H. M. Ozaktas, O. Arikan, M. A. Kutay, and G. Bozdagt. Digital computation of the fractional Fourier transform. Signal Processing, IEEE Transactions on, 44(9): , [40] S. C. Pei and M. H. Yeh. Improved discrete fractional Fourier transform. Optics Letters, 22(14): , [41] S. C. Pei, M. H. Yeh, and C. C. Tseng. Discrete fractional Fourier transform based on orthogonal projections. Signal Processing, IEEE Transactions on, 47(5): , [42] S. Rao, D. Wilton, and A. Glisson. Electromagnetic scattering by surfaces of arbitrary shape. Antennas and Propagation, IEEE Transactions on [legacy, pre ], 30(3): , [43] Dipankar Sarkar and N. J. Halas. General vector basis function solution of maxwell s equations. Physical Review E, 56(1): , [44] T. Sarkar, E. Arvas, and S. Rao. Application of FFT and the conjugate gradient method for the solution of electromagnetic radiation from electrically large and small conducting bodies. Antennas and Propagation, IEEE Transactions on [legacy, pre ], 34(5): , [45] T. K. Sarkar and E. Arvas. On a class of finite step iterative methods (conjugate directions) for the solution of an operator equation arising in electromagnetics. IEEE Transactions on Antennas and Propagation, 33: , October [46] U. Schulz and R. Pregla. A new technique for the analysis of the dispersion characteristics of planar waveguides and its application to microstrips with tuning septums. Radio Science, 16(6): , [47] F. Schwering, N. N. Puri, and C. M. Butler. Modified diakoptic theory of antennas. IEEE Transactions on Antennas and Propagation, 34: , November [48] C. C. Shih. Optical interpretation of a complex-order Fourier transform. Optics Letters, 20(10): , [49] K. Umashankar, S. Nimmagadda, and A. Taflove. Application of integral equation and method of moments forelectrically very large scatterers using spatial decomposition technique. In Antennas and Propagation Society International Symposium, AP-S., pages 76 79, Dallas, USA, 第 224 页

5 [50] K. R. Umashankar, S. Nimmagadda, and A. Taflove. Numerical analysis of electromagnetic scattering by electricallylarge objects using spatial decomposition technique. Antennas and Propagation, IEEE Transactions on,, 40(8): , [51] S. B. Worm and R. Pregla. Hybrid-mode analysis of arbitrarily shaped planar microwave structures by the method of lines. Microwave Theory and Techniques, IEEE Transactions on, 32(2): , [52] J. J. Yang, Y. L. Chow, G. E. Howard, and D. G. Fang. Complex images of an electric dipole in homogeneous and layereddielectrics between two ground planes. Microwave Theory and Techniques, IEEE Transactions on, 40(3): , [53] Liu Yaowu, Lan Kang, Liao Cheng, and K. K. Mei. Time-domain mei method for radiation of line source. Electronics Letters, 35(4): , [54] Xu Yun-Sheng and Chen Hong-Ming. Validity of the measured equation of invariance. Antennas and Propagation, IEEE Transactions on, 47(12): , [55] Лисковец О.А. Метод прямых. Дифференциальные уравнения, 1(12): , (Liskovets, O.A., The method of lines (Review), Differential Equations.). [56] 廖成. 时域 MEI 方法初探. 电波科学学报, 15(3): , 2000 年 9 月. [57] 戴振铎, 鲁述. 电磁理论中的并矢格林函数. 武汉大学出版社, [58] 方大纲. 电磁理论中的谱域方法. 安徽教育出版社, [59] 杨儒贵. 电磁理论中的辅助函数. 高等教育出版社, [60] 符果行. 电磁场中的格林函数法. 高等教育出版社, [61] 陶然, 邓兵, 王越. 分数阶 Fourier 变换在信号处理领域的研究进展. 中国科学 E 辑, 36(2): , 第 225 页

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