Introduction_FEM_3

Introduction_FEM_3 - ⎢ ⎢ ⎢ ⎤ ⎦ ⎥ ⎥ ⎥ ⎛...

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Lecture 3: Characteristic Impedance Calculations of Microstrip Transmission Lines Prof. Jin-Fa Lee http://esl.eng.ohio-state.edu/~csg
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Compute Z c of the microstrip transmission line C ε : the capacitance per unit length for the microstrip line C 0 : the capacitance per unit length with the dielectric replaced by air
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Partition the domain Ω Ω = K 0 K 1  K 9 K : element, in our case, triangular element Total 5 Unknowns φ 0 , 1 , , 4
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Barycentric Coordinates for Triangles ς 0 + 1 + 2 = 1 x 0 0 + x 1 1 + x 2 2 = x y 0 0 + y 1 1 + y 2 2 = y
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S Δ = cot θ 0 1 2 0 0 0 0 1 1 0 1 1
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Unformatted text preview: ⎢ ⎢ ⎢ ⎤ ⎦ ⎥ ⎥ ⎥ ⎛ ⎝ ⎜ ⎜ ⎜ ⎞ ⎠ ⎟ ⎟ ⎟ + cot 1 1 2 1 − 1 − 1 1 ⎡ ⎣ ⎢ ⎢ ⎢ ⎤ ⎦ ⎥ ⎥ ⎥ ⎛ ⎝ ⎜ ⎜ ⎜ ⎞ ⎠ ⎟ ⎟ ⎟ + cot 2 1 2 1 − 1 − 1 1 ⎡ ⎣ ⎢ ⎢ ⎢ ⎤ ⎦ ⎥ ⎥ ⎥ ⎛ ⎝ ⎜ ⎜ ⎜ ⎞ ⎠ ⎟ ⎟ ⎟ = cot Q + cot 1 Q 1 + cot 2 Q 2 Right-Hand-Side (rhs)...
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This note was uploaded on 10/21/2010 for the course ECE 715 taught by Professor Unknown during the Fall '09 term at Ohio State.

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Introduction_FEM_3 - ⎢ ⎢ ⎢ ⎤ ⎦ ⎥ ⎥ ⎥ ⎛...

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