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Tham khảo tài liệu 'microstrip antennas part 6', kỹ thuật - công nghệ, cơ khí - chế tạo máy phục vụ nhu cầu học tập, nghiên cứu và làm việc hiệu quả | 140 Microstrip Antennas Mzu2 f z f2 z e u 49 where Mz p 1 zl. - A z 1 50 0 otherwise f2 z p2 1 Z2- z z2 A 51 0 otherwise and A is 1 the segment length in z-direction. The rooftop functions 3 t Tz 2 are given by Mzut f z ft z e-iuf 52 where i 1 zt - A z zt ft z 1 zt z zt A 53 0 otherwise and zt ii Some tr and are 5 the center coordinate of the rooftop basis-function. ansforms of these z-directed basis-functions will be needed throughout the chapter given below. The exponential series in f and Fourier transform in z are given by M u 1 n kz ỏn ufỉ kz 54 Mif n kz 5 u ff kz 55 zu2 z n u 2 z Mut n kz ôn ufỉ kz 56 where Ỗ n u is the Kronecker s delta function given by 0 n u and ft kz eff A 1 - ppp 58 z 2n jkz A k2J 2nA k2z v 7 . jv-la 1 1 ejkz z2a A f2 kz n - jpz A - 2nAkz 59 ĨỈ kz t .J 1 cos kzA 60 n A k2 Similarl y the exponential series in f and sine series in z are given by MMzuX n kz Snf kz 61 Mĩezsu2 n kz Snf kz 62 Mỉezsut n kz ẻn ufỉ kz 63 Cavity-Backed Cylindrical Wraparound Antennas 141 where fĩ M f zlfl-A- - ZC 64 f2W Lzc Aqn sin i q 7Ĩ . X 7 z2fl A-zlc 4-.ZC -sin 7 - z2fl -zlc 4-.ZC 65 7s 7 4 i 7ĩ ft r 2 sin 7- 2f - 2lc l2CA i TT l2C LLzc On the other hand the -directed equivalent magnetic surface currents are expanded in piecewise-constant basis functions as l-cos 66 - ZC _ u Ĩ Mif p z 52 z H -lỉf l 67 where u is the maximum number of harmonics in p d s are the coefficients to be determined and Tf is the number of piecewise-constant basis-functions Mijnit given by Mỳut tp z gt z 68 where _ i 1 1 z Z -nx Vf z . 69 Ự otherwise The piecewise-constant basis-functions used for Mq are shown in Fig. 5 and a single basis is shown in Fig. 6. Again we will introduce some transforms of Mijnit that will be required later. The exponential series in p and Fourier transform in z is given by 70 where M 1- A 71 And the exponential series in p and cosine series in z is given by M qui n kz ỗn ugt kz 72 where gct kz I sin lln . y- Zt-Zỉc - ZC sin P- zt-A-zic - ZC 73