Electromagnetic Waves and Antennas combined - Chapter 3 ppt

... vac 0 1 3 4 0 1 z/a t =0 0 1 3 4 0 1 z/a t =40 0 1 3 4 0 1 z/a t =120 0 1 3 4 0 1 z/a t =180 0 1 3 4 0 1 z/a t =220 0 1 3 4 0 1 z/a t = 230 0 1 3 4 0 1 z/a t =240 0 1 3 4 0 1 z/a t =250 0 1 3 4 0 1 z/a t ... , dn dλ =− 11.98× 10 3 μm −1 , d 2 n dλ 2 =−4.24×10 3 μm −2 (3. 6. 13) resulting in the group index n g = 1.4 63 and group velocity v g = c/n g = 0.684c. Using...

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... k 2 l 2 jη 2 sin k 2 l 2 jη −1 2 sin k 2 l 2 cos k 2 l 2  E 3 H 3  But at interface -3 , E 3 = E  3 = E  3+ and H 3 = Z −1 3 E 3 = η −1 b E  3+ , because Z 3 = η b . Therefore, we can obtain the fields E 1 ,H 1 by ... the half- and quarter- wavelength cases have the same notch widths. A standard measure for the width is the 3- dB width, which for the half-waveleng...

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... time-dependent point source located at the origin: 1 c 2 ∂ 2 u ∂t 2 −∇ 2 u = f(t)δ (3) (r) (14.2.2) where f(t) is an arbitrary function of time and δ (3) (r) is the 3- dimensional delta func- tion. ... about r. See Appendix D and Refs. [1179,4 83, 495,621] and [129– 133 ] for the properties of such principal value integrals. 14.6. Ewald-Oseen Extinction Theorem 587 The self-consist...

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... Eqs. (15 .3. 5) and (15 .3. 8), we obtain: G max = e a  πd λ  2 (15 .3. 9) Antennas fall into two classes: fixed-area antennas, such as dish antennas, for which A is independent of frequency, and fixed-gain ... bandwidth is 30 MHz. The uplink and downlink wavelengths are λ u = 0.05 m and λ d = 0.075 m, corresponding to 6 and 4 GHz. The up and down free-space gains and losse...

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... the 3- dB and first-null widths in radians and degrees: Δθ 3dB = 0.5144 λ a = 29.47 o λ a ,Δθ null = 1.22 λ a = 70 o λ a (17.9.5) The 3- dB angle is θ 3dB = Δθ 3dB /2 = 0.2572λ/a = 14.74 o λ/a and ... gain-beamwidth product is p = G(Δθ 3dB ) 2 =  4π(πa 2 )/λ 2  (0.514λ/a) 2 = 4π 2 (0.5144) 2 = 10.44 63 rad 2 = 34 2 93 deg 2 . Thus, in radians and degrees: G = 10.44 63 (Δθ 3dB )...

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... plane waves propagating in dielectrics, conductors, and birefringent me- dia, (b) guided waves propagating in hollow waveguides, transmission lines, and optical fibers, and (c) propagating waves ... come by [1 53] , although examples of such media have been fabricated [38 1]. Negative-index media, also known as left-handed media, have , μ that are simulta- neously negative, <0...

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... A  ,B  ,θcolumns of the pre- vious example, if it is called with the inputs: A = [3, 3, 4, 3, 4, 3, 4, 3] ’; B = [0, 4, 3, 3, 3, 4, 3, 4]’; phi = [-9 0, 0, 180, 60, 45, -4 5, 135 , -1 35 ]’; To determine quickly ... polarization a. 3 0 −90 o 30 0 o → linear/forward b. 3 4 0 o 05 36 .87 o  linear/backward c. 4 3 180 o 50 36 .87 o  linear/forward d. 3 3 60 o 3. 67...

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... − n 2 3 N 2 = 1 (4.7.9) n 3 n 1 cos 2 θ + n 1 n 3 sin 2 θ = n 1 n 3 N 2 (4.7.10) n 2 1 n 2 3 sin 2 θ + n 2 3 n 2 1 cos 2 θ = n 2 1 +n 2 3 −N 2 N 2 (4.7.11) sin 2 θ = 1 − n 2 1 N 2 1 − n 2 1 n 2 3 , ... the 4.2. Uniaxial and Biaxial Media 133 uniaxial and biaxial cases are similar, and therefore, we will work with the biaxial case. Setting D x =  1 E x and D y =  2 E...

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... Structures r= -0 .1000 -0 .2000 -0 .4000 0.5000 A= 1.0000 1.0000 1.0000 1.0000 -0 .1000 -0 .1200 -0 .2000 0 -0 .0640 -0 .1000 0 0 -0 .0500000 B= -0 .1000 -0 .2000 -0 .4000 0.5000 -0 .1880 -0 .36 00 0.5000 0 -0 .35 00 0.5000 0 ... − 0. 230 0z −1 +0.0040z −2 +0.1502z 3 +0.0415z −4 1 + 0.0428z −1 −0. 033 9z −2 −0. 033 3z 3 −0.0066z −4 We note that...

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... water. The Brewster angles from the air and the water sides of an air-water interface are: θ B = atan  1 .33 3 1  = 53. 1 o ,θ  B = atan  1 1 .33 3  = 36 .9 o We note that θ B +θ  B = 90 o . ... as p-polarization, π-polarization, or TM po- larization, the electric fields lie on the plane of incidence and the magnetic fields are Fig. 7.1.1 Oblique incidence for TM- and TE-polarized...

Ngày tải lên: 13/08/2014, 02:20