Microwave CAD and Measurements

Grade: attentance 10%, homework 30%, mid-term exam. 30%, final exam 30%

Homework submission: 개신누리 e-campus

PIN: Last 4 digits of your mobile phone number. If a digit is zero, sequentially replace it with 1, 2, 3 etc.

Example 1: 010-1234-4321 → PIN = 4321

Example 2: 010-1234-4010 → PNI = 4112

Week-01: Transmission Lines 1

Theory lecture: pdf, pptx-no-voice, pptx-voice, mp4

Homework: sol

1. Express the characteristic impedance Z₀ of a transmission line in terms of R, L, G, and C.

2. Express the complex propagation constant γ of a transmission line in terms of R, L, G, and C.

3. Express Z₀ and γ of a lossless transmission line in terms of L and C.

Week-02: Transmission Lines 2

Theory lecture: pdf, pptx-no-voce, pptx-voice, mp4

(Reference) Complex number calculator

Python: complex_calc_1_python.txt

Fortran: complex_calc_1.f90, complex_calc_1.exe

Homework:

PIN=pqrs, a = p+q+r+s, b = 3*a

Coaxial cable with a(given above), b(given above), μ_r = 1, ε_r = 2, tanδ = 0.001, σ = 5.8e7 S/m, f = 5.8 GHz

Calculate Z₀, γ, R, L, G, C, α_c (dB/m), α_d (dB/m), α (dB/m), λ_g.

(Note) Use the following equations.

Week-03: Transmission Lines 3

Theory lecture: pdf, pptx-no-voice, pptx-voice, mp4

Homework: Visit http://mcalc.sourceforge.net/ to analyze a microstrip line. Set up the program as follows.

Unit: mm

Er = 4.3, Rho =1

H = 1, Rough = 0.0

Tmet = 0.035, Tanδ = 0.02

Keff는 ε_re (effective dielectric constant)

Guided wavelength:

Elec. Len. (degrees): Guided wavelength expressed in degrees. One physical guided wavelength = 2π electrical length

For W = 2mm, Frequency = 1500MHz, find Z0, Keff, L (lenght of a wavelength), and Loss (dB).

Week-04: Smith Chart

Theory lecture: pdf, pptx-no-voice, pptx-voice, mp4

Homework:

PIN=abcd (PIN=3194, a=3, b=1, c=9, d=4)

1. Draw a r = a circle on a Smith chart.

2. Draw a x = d circle on a Smith chart.

(Note)

Smith chart forms: Smith-z-chart, Smith-y-chart, Smith-zy-chart

Complex calculator in Python

Wee-05: Impedance Matching 1

Theory lecture: pdf, pptx-no-voice, pptx-voice, mp4

Laboratory lecture: pdf, htm, mp4

Student laboratory: pdf, htm

Homework: PIN=abcd (exmple: PIN=3194, a=3, b=1, c=9, d=4)

Vs = 10a × exp(j20°)

Zs = 10b + j 10c (ohm) : connected in series with Vs

ZL = 30a − j 40d (ohm) : connected in series with Zs

1. Find the power PL (W) at ZL

2. Modify ZL for maximum power transfer.

3. Find the power PL (W) at ZL when ZL is modified for the maximum power transfer.

Week-06: Impedance Matching 2

Theory lecture: pdf, pptx-no-voice, pptx-voice, mp4

Laboratory lecture: pdf, htm, mp4

Student laboratory: pdf, htm

(Note) LC matching: Python souce code (python-general LC matching.doc)

Homework: PIN=abcd (exmple: PIN=3194, a=3, b=1, c=9, d=4)

1. Find all the possible element values of LC-matching networks that transforms 10a+j40b Ω to 50 Ω. Use the Python code given above.

Week-07: Passive RLC Components 1 - Resistors

Theory lecture: pdf, pptx-no-voice, pptx-voice, mp4

Laboratory lecture: pdf, htm, mp4

Student laboratory: pdf, htm

Homework: PIN=abcd (exmple: PIN=3194, a=3, b=1, c=9, d=4)

1. Resistor equivalent circuit

1) Find an expression for the impedance.

2) f = a MHz, R = 100b (ohm), L = b nH, C= 2d pF. Calculate the impedance.

Week-08: Mid-term Exam.

Mid-term exam.: prob (pdf, htm)

Week-09: Passive RLC Components 2 - Capacitors

Theory lecture: pdf, pptx-no-voice, pptx-voice, mp4

Homework: PIN=abcd (exmple: PIN=3194, a=3, b=1, c=9, d=4)

1. Capacitor equivalent circuit

1) Find and expression for the impedance.

2) f = 100a MHz, C1 = 20b nF, R2=b Gohm, R1=c/100 ohm, L1 = d/4 nH. Calculate the impedance.

Week-10: Passive RLC Components 3 - Inductors

Theory lecture: pdf, pptx-no-voice, pptx-voice, mp4

Laboratory lecture: pdf, htm, mp4

Student laboratory: pdf, htm

Homework: PIN=abcd (exmple: PIN=3194, a=3, b=1, c=9, d=4)

1. Inductor equivalent circuit

1) Find and expression for the impedance.

2) f = 100a MHz, R=10b ohm, L = 5b μH, C = d/10 pF. Calculate the impedance.

Week-11: Maxwell's Equations and Wave Equation

Theory lecture: pdf, pptx-no-voice, pptx-voice, mp4

Homework: PIN=abcd (exmple: PIN=3194, a=3, b=1, c=9, d=4)

1. f = 1 GHz, εr = a, μr = b. Find the wavelength and the intrinsic impedance.

Week-12: Planewave 1

Theory lecture: pdf, pptx-no-voice, pptx-voice, mp4

Homework: PIN=abcd (exmple: PIN=3194, a=3, b=1, c=9, d=4)

1. Planewave in lossy media

ε'/ ε₀ = a, ε'' = 0.1ε', μ'/ μ₀ = d, μ''= 0, f = c GHz

Find the attenuation constant α, propagation constant β, and skin depth δ_s.

Week-13(5/27): Planewave 2

Theory lecture: pdf, pptx-no-voice, pptx-voice, mp4

Homework:

Medium 1: air, Mediumk 2: ε_r = a, μ_r = b

1. Find the intrinsic impedance of the air η₁ and of the earth η₂.

2. Find the reflection cofficient Γ and transmission coefficient τ of a planewave normally incident from the air to the medium 2.

Week-14: Student Self-study Week

Time for self study of the class

Week-15 (6/9): Final exam.

Final exam.: prob (pdf, htm)

[Summary of Formulas]

Lecure 01: Transmission lines 1

- Voltage and current waves

- R, L, G, C from Z₀ and γ

- Formulas for coaxial cable, two-wire line, and parallel-plate line

- Microstrip line formulas