The document discusses key topics in microwave engineering including: 1. Maxwell's equations which describe the fundamentals of electromagnetics. 2. Explanations of important concepts like electric and magnetic fields, vectors, divergence, curl and boundary conditions. 3. An overview of industries utilizing RF components and analysis of the RF components market including development trends, major companies and factors changing the industry.

1. Electromagnetics
Microwave Engineering
CHO, Yong Heui

2. Microwave Engineering
0. Text
Introduction
David M. Pozar, “Microwave Engineering,” 2nd ed.,
John Wiley & Sons, 1997.
Robert E. Collin, “Foundations for Microwave
Engineering,” 2nd ed., IEEE Press, 2001.
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3. Microwave Engineering
0. Spirit
Who is he?
Oliver Heaviside (1850~1925, England)
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4. Microwave Engineering
0. Spirit
Who is she?
Hedy Lamarr (1913~2000, Austria)
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5. Microwave Engineering
1. Maxwell’s equations
Basic equations ( 기본방정식 )
  ∇•D = ρ : Gauss( 가우스 )’s law
 ∇×E = −
∂
B : Faraday( 패러데이 )’s
law ∂t
∇•B =0
∂ Biot-Savart( 비오 - 사바르 )’s
:

law × H = J +
∇ D
∂t
 : Ampere( 앙뻬르 )’s law
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6. Microwave Engineering
2. Explanations
Vector ( 벡터 )
  Vector: magnitude + direction
- Coordinate ( 좌표계 ): x, y , z )
(
- E
 Scalar: magnitude
- Real number ( 실수 )
- ρ
Velocity Temperature
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7. Microwave Engineering
2. Explanations
Electric field ( 전기장 )
  E : electric field [V/m]
- Force: F = qE
 D : electric flux ( 전속 ) density [C/m2]
- D = εE , Q = CV
 φ : electric potential [V]
- E = − ∇ φ (static) , gradient ( 경사 )
- Energy: W = qV
Electricity
 ε : permittivity ( 유전율 ) [F/m]
- ε = ε 0ε r
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8. Microwave Engineering
2. Explanations
Magnetic field ( 자기장 )
  H : magnetic field intensity [A/m]
 B : magnetic flux ( 자속 ) density [Wb/m2]
- B = µH , Φ = LI
- Force: F = qv × B
 A : vector potential [Wb/m]
- B = ∇ × A , curl ( 회전 )
- Energy Magnet
 µ : permeability ( 투자율 ) [H/m]
- µ = µ0µr
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9. Microwave Engineering
2. Explanations
Product ( 곱 )
  Dot product, inner product
- A•B = A B + A B + A Bz
x x y y z
 Cross product, outer product
- A × B = ( A B − A B )z +
ˆ
x y y x
Projection Right screw
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10. Microwave Engineering
2. Explanations
Gradient ( 경사 , 구배 )
  Nabla (del),
∂
∇
∂ ∂
-
∇= x+
ˆ y+ z
ˆ ˆ
∂x ∂y ∂z
 E = −∇φ (static field)
 Peak detector
Map
∂
E x x = − φx
ˆ ˆ
∂x
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11. Microwave Engineering
2. Explanations
Divergence ( 발산 )
  ∇•D = ρ
∇•B =0
 Source detector, hole detector
∂ ∂ ∂
Dx + D y + Dz = ρ Tap
∂x ∂y ∂z
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12. Microwave Engineering
2. Explanations
Divergence ( 발산 )
Electric field Magnetic field
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13. Microwave Engineering
2. Explanations
Principle of divergence
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14. Microwave Engineering
2. Explanations
Curl ( 회전 )
∂ ∂
  ∇ × E = − B, ∇ × H = J + D
∂t ∂t
 Rotation detector
∂ ∂ 
 E y − Ex  z
 ∂x ˆ
 ∂y 
∂
= − Bz zˆ
∂t
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15. Microwave Engineering
2. Explanations
Principle of curl
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16. Microwave Engineering
2. Explanations
Maxwell’s equations
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17. Microwave Engineering
2. Explanations
Boundary conditions ( 경계조건 )
  n • D1 = n • D2
ˆ ˆ : continuity of normal D
 n × E1 = n × E2
ˆ ˆ : continuity of tangential E
 n • B1 = n • B2
ˆ ˆ : continuity of normal B
 n × H1 = n × H 2 : continuity of tangential H
ˆ ˆ
 Sourceless system
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18. Microwave Engineering
2. Explanations
Continuity of fields
 
∫ D • dS = Q
S
: continuity of normal D
 ∫ E • dL = 0
C
: continuity of tangential E
∇•D = ρ
n × H1 = n × H 2
ˆ ˆ Gauss’ divergence theorem
∂
∇×E = − B
∂t
Stokes’ theorem
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19. Microwave Engineering
3. Industries
RF 부품 산업

RF components for CDMA
수요 및 산업의 변화 , 정보통신정책 , 2004
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20. Microwave Engineering
3. Industries
Mobile RF 중장기 부품 수요
수요 및 산업의 변화 , 정보통신정책 , 2004
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21. Microwave Engineering
3. Industries
RF 세부부품별 개발동향과 주요업체
(1)
수요 및 산업의 변화 , 정보통신정책 ,21
2004 EM Wave Lab

22. Microwave Engineering
3. Industries
RF 세부부품별 개발동향과 주요업체
(2)
수요 및 산업의 변화 , 정보통신정책 , 2004
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23. Microwave Engineering
3. Industries
RF 부품 산업의 변화 요인
수요 및 산업의 변화 , 정보통신정책 , 2004
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24. Microwave Engineering
3. Industries
국내 RF 부품업체의 SWOT 분석
수요 및 산업의 변화 , 정보통신정책 , 2004
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