Variable permittivity dielectric material loaded stepped-horn antenna

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tiTo determine the unknown coefficients 14„ multiply each side of (2.65) by and h,,, andintegrate over the waveguide cross section, resulting inUsing equations (2.67), (2.62) in the matrix format, leads to(2.68)(2.69)Since BA SA11AA, one can express BA as a function of A A in (2.68),From (2.70), the reflection matrix of aperture SA can be written aswhere I is a unit matrix of size NT x NT. The tapered section and the aperture are connectedthrough a uniform waveguide section of length Al, as shown in Figure 2.3.In the previous section, the generalized scattering matrix, ST, of the tapered sectionand diagonal matrix of last uniform waveguide section of the horn antenna were presentedusing mode matching technique. Combining ST and D with SA, the amplitudes of theincident and reflected modes in the aperture A A and BA, and the reflected modes at the
27input of the horn B° are obtained for any incident field A° using following formulasEquation (2.72) uniquely determines the aperture field. Since we know the aperture fields,exact solution of magnetic current distributions on the aperture can be found using either(2.62) or (2.64). Antenna characteristics then can be calculated using the equivalent magneticcurrent density.2.4 Half-Space AdmittanceThe expressions for the magnetic field are constructed by means of the electric vectorpotential and magnetic scalar potential which ensures that Maxwell's equations and theradiation condition are satistified. Also, image theory is invoked, thereby causing the fieldexpressions to satisfy the boundary conditions on the screen. Half-space magnetic field canbe obtained from
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 22 and 23: 84Figure 2.4 Step discontinuity bet
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 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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