Microwave Engineering Chap 3 7 Chap 3 11

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Microwave Engineering Chap. 3. 7 ~ Chap. 3. 11 EMLAB

Microwave Engineering Chap. 3. 7 ~ Chap. 3. 11 EMLAB

3. 7 Stripline § Stripline ≒ “Flattened-out” coax § TEM mode phase velocity, propagation

3. 7 Stripline § Stripline ≒ “Flattened-out” coax § TEM mode phase velocity, propagation constant § Characteristic impedance 1 EMLAB

3. 7 Stripline § Z 0 구하기 (1) – Conformal mapping 을 통해 구한

3. 7 Stripline § Z 0 구하기 (1) – Conformal mapping 을 통해 구한 exact solution 을 curve fitting 하여 구함. § Z 0 는 정해져 있고 stripline 의 너비 W 를 구하려는 경우 2 EMLAB

3. 7 Stripline (cont’d) § 3 Z 0 구하기 (2) – approximate electrostatic solution

3. 7 Stripline (cont’d) § 3 Z 0 구하기 (2) – approximate electrostatic solution 필드가 내부 도체 근처에만 발생한다는 가정 → |a|/2 에 도체벽 a>>b EMLAB

3. 7 Stripline (cont’d) § 4 at y=b/2 An=Bn. surface charge density EMLAB

3. 7 Stripline (cont’d) § 4 at y=b/2 An=Bn. surface charge density EMLAB

5 3. 7 Stripline (cont’d) § surface charge density 가 상수임을 가정, 미지수 An

5 3. 7 Stripline (cont’d) § surface charge density 가 상수임을 가정, 미지수 An 을 구함. 양변에 곱하고 -a/2 ~ a/2 구간에서 x에 대해 적분 § strip(center conductor) (-W/2 ~ W/2) 전압: EMLAB

3. 7 Stripline (cont’d) § strip(center conductor) 의 단위 길이당 총 전하 § stripline

3. 7 Stripline (cont’d) § strip(center conductor) 의 단위 길이당 총 전하 § stripline 의 단위 길이당 capacitance 6 EMLAB

3. 8 Microstrip Line § 7 Quasi-TEM mode phase velocity, propagation constant εe: effective

3. 8 Microstrip Line § 7 Quasi-TEM mode phase velocity, propagation constant εe: effective dielectric constant. EMLAB

3. 9 The Transverse Resonance Technique § 9 도파관의 transverse cross section (직사각형 혹은

3. 9 The Transverse Resonance Technique § 9 도파관의 transverse cross section (직사각형 혹은 원형 등) 에 전송선로 모델을 도입, 차단 주파수를 구함. § 차단주파수에서 도파관의 정재파 = 공진주파수에서의 전송선로 r: right, l: left u TE 0 n Modes of a Partially Loaded Rectangular Waveguide § Characteristic impedance for TE mode EMLAB

3. 10 Wave Velocities and Dispersion 10 lossless matched TL or WG EMLAB

3. 10 Wave Velocities and Dispersion 10 lossless matched TL or WG EMLAB

3. 10 Wave Velocities and Dispersion (cont’d) 11 EMLAB

3. 10 Wave Velocities and Dispersion (cont’d) 11 EMLAB

3. 10 Wave Velocities and Dispersion (cont’d) 12 EMLAB

3. 10 Wave Velocities and Dispersion (cont’d) 12 EMLAB

13 3. 11 Summary of Transmission Lines and Waveguides (cont’d) EMLAB

13 3. 11 Summary of Transmission Lines and Waveguides (cont’d) EMLAB

14 3. 11 Summary of Transmission Lines and Waveguides (cont’d) § Ridge Waveguide (BW

14 3. 11 Summary of Transmission Lines and Waveguides (cont’d) § Ridge Waveguide (BW ↑, Power handling capacity ↓) ridge – cutoff freq. 를 낮춰주는 역할 § Dielectric Waveguide εr 2>εr 1. lossy at bends or junctions. § Slotline quasi-TEM mode EMLAB

15 3. 11 Summary of Transmission Lines and Waveguides (cont’d) § Coplanar waveguide quasi-TEM

15 3. 11 Summary of Transmission Lines and Waveguides (cont’d) § Coplanar waveguide quasi-TEM mode § Covered microstrip EMLAB