MICROLEECTRONIC E BOOKS
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ISBN: 9780190853532
Author: SEDRA
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Chapter 2.2, Problem D2.8E
To determine
The design parameters of a weighted summer which yields a given output.
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A plane wave propagating in the +z direction in medium 1 is normally incident to medium 2 located at
the z=0 plane as below. Both mediums are general, characterized by ( ε i, Mi, Ơi ).
tot
=
[ ει μη σ]
[ε, μη σε ]
Ex
Ex
tot
E₁₂ (z) = Ee
Ex
z=0
From conservation of energy: P₁AV'(z=0) + Piav'(z=0) = P2av²(z=0).
Using the above show for lossless media that: ( 1 - ||²) = (1/M2 )|T|² .
A plane wave propagating in the +z direction in medium 1 is normally incident to medium 2 located at
the z=0 plane as below. Both mediums are general, characterized by ( ε i, Hi, σ¡ ).
[ ει μη σ]
Ex
[ ει μη ση ]
Ex
tot
E₁₂ (z) = E'₁e¹²
-122
E(z) = Ee+ E₁₁₁²
E₁x
z=0
1. Specify the electric field reflection coefficient г and transmission coefficient T:
E
ΓΔ
E
E
TA
EL
2. Show that T=1+г. Can the transmitted electric field amplitude in region 2 be LARGER than the
incident electric field amplitude?
3. Determine expressions for P₁AV'(z), PIAV'(z) and P2AV'(z) (note the sign for the reflected power
direction should be (-z).
Chapter 2 Solutions
MICROLEECTRONIC E BOOKS
Ch. 2.1 - Prob. 2.1ECh. 2.2 - Prob. D2.4ECh. 2.2 - Prob. 2.5ECh. 2.2 - Prob. D2.8ECh. 2.3 - Prob. 2.10ECh. 2.3 - Prob. D2.11ECh. 2.3 - Prob. 2.12ECh. 2.3 - Prob. 2.13ECh. 2.3 - Prob. 2.14ECh. 2.4 - Prob. 2.15E
Ch. 2.4 - Prob. D2.16ECh. 2.4 - Prob. 2.17ECh. 2.5 - Prob. D2.19ECh. 2.5 - Prob. D2.20ECh. 2.6 - Prob. 2.21ECh. 2.6 - Prob. 2.22ECh. 2.6 - Prob. 2.23ECh. 2.6 - Prob. 2.24ECh. 2.6 - Prob. 2.25ECh. 2.7 - Prob. 2.26ECh. 2.7 - Prob. 2.27ECh. 2.7 - Prob. 2.28ECh. 2.8 - Prob. 2.29ECh. 2 - Prob. 2.1PCh. 2 - Prob. 2.2PCh. 2 - Prob. 2.3PCh. 2 - Prob. 2.4PCh. 2 - Prob. 2.7PCh. 2 - Prob. 2.8PCh. 2 - Prob. 2.10PCh. 2 - Prob. 2.11PCh. 2 - Prob. 2.12PCh. 2 - Prob. 2.16PCh. 2 - Prob. 2.17PCh. 2 - Prob. 2.19PCh. 2 - Prob. 2.23PCh. 2 - Prob. 2.24PCh. 2 - Prob. 2.25PCh. 2 - Prob. 2.26PCh. 2 - Prob. D2.27PCh. 2 - Prob. 2.28PCh. 2 - Prob. 2.32PCh. 2 - Prob. 2.33PCh. 2 - Prob. 2.34PCh. 2 - Prob. D2.35PCh. 2 - Prob. D2.36PCh. 2 - Prob. D2.37PCh. 2 - Prob. 2.39PCh. 2 - Prob. D2.42PCh. 2 - Prob. D2.43PCh. 2 - Prob. 2.44PCh. 2 - Prob. D2.46PCh. 2 - Prob. D2.47PCh. 2 - Prob. D2.48PCh. 2 - Prob. D2.49PCh. 2 - Prob. 2.50PCh. 2 - Prob. 2.51PCh. 2 - Prob. D2.53PCh. 2 - Prob. 2.54PCh. 2 - Prob. D2.59PCh. 2 - Prob. 2.60PCh. 2 - Prob. 2.65PCh. 2 - Prob. 2.66PCh. 2 - Prob. 2.67PCh. 2 - Prob. 2.68PCh. 2 - Prob. D2.69PCh. 2 - Prob. 2.70PCh. 2 - Prob. 2.76PCh. 2 - Prob. 2.77PCh. 2 - Prob. 2.80PCh. 2 - Prob. 2.81PCh. 2 - Prob. 2.89PCh. 2 - Prob. D2.92PCh. 2 - Prob. D2.93PCh. 2 - Prob. 2.94PCh. 2 - Prob. D2.99PCh. 2 - Prob. 2.104PCh. 2 - Prob. 2.106PCh. 2 - Prob. 2.114PCh. 2 - Prob. D2.117PCh. 2 - Prob. 2.119PCh. 2 - Prob. 2.121PCh. 2 - Prob. 2.123PCh. 2 - Prob. 2.124PCh. 2 - Prob. 2.126PCh. 2 - Prob. D2.127P
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