Variable permittivity dielectric material loaded stepped-horn antenna

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84Figure 2.4 Step discontinuity between i-th and i + 1-th waveguide sections.TE modes are derived from the axial z-component of the magnetic Hertzian vectorpotential H h and TM modes are derived from the axial z-component of the electric Hertzianvector potential tie. Hence, complete modal field in the i-th waveguide section can bewritten in form asHertzian vector potentials are expressed as sums of the complete set of eigenmodeswith the wave impedance of TE mode, Zihmn , , and admittance of TM mode, Yiemn given by,
where the propagation constant is expressed ask is the cut-off wavenumber of the mn-th mode and ki = k0.1 is the wavenumberin the i-th waveguide section. k, is the free space wavenumber.Figure 2.4Thmn and Ten,„are the cross-sectional eigenfunctions for the given boundaries inwhere δmn is the Kronecker delta symbol.The eigenfunctions are normalized so that for a wave amplitude of unity, the totalpower carried by the corresponding mode is(2.9)
Page 1 and 2: Copyright Warning & RestrictionsThe
Page 4 and 5: VARIABLE PERMITTIVITY DIELECTRIC MA
Page 6 and 7: APPROVAL PAGEVARIABLE PERMITTIVITY
Page 8 and 9: To my parents, ..Tahsin and Güler
Page 10 and 11: TABLE OF CONTENTSChapterPage1 INTRO
Page 12 and 13: LIST OF FIGURESFigurePage2.1 Geomet
Page 14 and 15: FigureLIST OF FIGURES(Continued)Pag
Page 16 and 17: 2field uniformity and this results
Page 18 and 19: 4from improving the gain, dielectri
Page 20 and 21: Figure 2.1 Geometry of pyramidal a
Page 24 and 25: 10section asFrom (2.4), the transve
Page 26 and 27: 12and for the magnetic fieldIn the
Page 28 and 29: 14where * shows complex conjugate.
Page 30 and 31: 16where D is a diagonal matrix of t
Page 32 and 33: 18Figure 2.6 Generalized reflection
Page 34 and 35: 20aperture region and 11Ps is the m
Page 36 and 37: 22where T; (x) and T: (y) are trian
Page 38 and 39: 24where Γwghnk and r wg enk are th
Page 40 and 41: tiTo determine the unknown coeffici
Page 42 and 43: 28An electric vector potential F an
Page 44 and 45: 30Using midpoint rule to evaluate i
Page 46 and 47: 32whereGreen function integrals, 4,
Page 48 and 49: 34taper and the phase distribution
Page 50 and 51: 36Even though, TE10 mode is an inci
Page 52 and 53: 38satisfy the amplitude ratio of 1/
Page 54 and 55: 40would be slight deviation from th
Page 56 and 57: 42increased to 15. Scattering matri
Page 58 and 59: 44Table 4.4 Amplitude and Phase of
Page 60 and 61: 46Figure 4.3, it is obvious that th
Page 62 and 63: 48al = 0.73A, b1 = 0.34A and apertu
Page 64 and 65: 50Table 4.7 Optimization Values of
Page 66 and 67: Figure 4.3 Input reflection coeffic
Page 68 and 69: Figure 4.5 Aperture efficiency vers
Page 70 and 71: Figure 4.7 Input reflection coeffic
Page 72 and 73:
Figure 4.9 Aperture efficiency vers
Page 74 and 75:
Figure 4.11 E-plane pattern versus
Page 76:
62Figure 4.13 Input reflection coef
Page 79 and 80:
Figure 4.16 Aperture efficiency ver
Page 81 and 82:
Figure 4.18 Amplitude of aperture m
Page 83 and 84:
Figure 4.20 Amplitude of aperture m
Page 85 and 86:
Figure 4.22 Input reflection coeffi
Page 87 and 88:
Figure 4.24 Cross-polarization leve
Page 89 and 90:
751Figure 4.26 Amplitude of apertur
Page 91 and 92:
770.8Figure 4.28 Amplitude of apert
Page 93 and 94:
Figure 4.30 Amplitude of aperture e
Page 95 and 96:
81Dielectric materials of various p
Page 97 and 98:
The indefinite integrals associated
Page 99 and 100:
BIBLIOGRAPHY[1] P. Clarricoats, A.
Page 101 and 102:
87[26] T. Bird and S. Hay, "Mismatc
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Variable permittivity dielectric material loaded stepped-horn antenna

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