Electromagnetics

Electromagnetics

Microwave EngineeringMicrowave EngineeringCHO, Yong HeuiCHO, Yong Heui

Microwave Microwave EngineeringEngineering

EM Wave EM Wave LabLab

2

Introduction

David M. Pozar, “Microwave Engineering,” 2David M. Pozar, “Microwave Engineering,” 2ndnd ed., ed., John Wiley & Sons, 1997.John Wiley & Sons, 1997.

Robert E. Collin, “Foundations for Microwave Engineering,” 2nd ed., IEEE Press, 2001.

0. Text



3

Who is he?

0. Spirit

Oliver Heaviside (1850~1925, England)



4

Who is she?

0. Spirit

Hedy Lamarr (1913~2000, Austria)



5

1. Maxwell’s equations

Basic equations ( 기본방정식 )

: Gauss( 가우스 )’s law

: Faraday( 패러데이 )’s law

: Biot-Savart( 비오 - 사바르 )’s law

: Ampere( 앙뻬르 )’s law

D

0 B

Bt

E

Dt

JH



6

2. Explanations

Vector ( 벡터 )

Vector: magnitude + direction- Coordinate ( 좌표계 ): -

Scalar: magnitude- Real number ( 실수 )-

Temperature Velocity

E

),,( zyx



7

Electric field ( 전기장 )

: electric field [V/m]- Force:

: electric flux ( 전속 ) density [C/m2]-

: electric potential [V]- (static) , gradient ( 경사 )- Energy:

: permittivity ( 유전율 ) [F/m]-

E

D

EqF

CVQED ,

r 0

EqVW

Electricity

2. Explanations



8

Magnetic field ( 자기장 )

: magnetic field intensity [A/m]

: magnetic flux ( 자속 ) density [Wb/m2]- - Force:

: vector potential [Wb/m]- , curl ( 회전 )- Energy

: permeability ( 투자율 ) [H/m]-

H

B

A

BvqF LIHB ,

r 0

AB Magnet

2. Explanations



9

Product ( 곱 )

Dot product, inner product-

Cross product, outer product-

zzyyxx BABABABA

zBABABA xyyx ˆ)(

Right screwProjection

2. Explanations



10

Gradient ( 경사 , 구배 )

Nabla (del), -

(static field)

Peak detector

zz

yy

xx

ˆˆˆ

Map

xx

xEx ˆˆ

E

2. Explanations



11

Divergence ( 발산 )

Source detector, hole detector

D

0 B

zyx Dz

Dy

Dx

2. Explanations

Tap



12

Divergence ( 발산 )

Electric field Magnetic field

2. Explanations



13

Principle of divergence

2. Explanations



14

Curl ( 회전 )

Rotation detector

,Bt

E

Dt

JH

zBt

zEy

Ex

z

xy

ˆ

ˆ

2. Explanations



15

Principle of curl

2. Explanations



16

Maxwell’s equations

2. Explanations



17

Boundary conditions ( 경계조건 )

: continuity of normal D

: continuity of tangential E

: continuity of normal B

: continuity of tangential H

21 ˆˆ DnDn

21 ˆˆ BnBn

21 ˆˆ EnEn

21 ˆˆ HnHn

Sourceless system

2. Explanations



18

Continuity of fields

: continuity of normal D

: continuity of tangential E

21 ˆˆ HnHn

0C LdE

QSdDS

Gauss’ divergence theorem

D

Bt

E

Stokes’ theorem

2. Explanations



19

RF 부품 산업 3. Industries

RF components for CDMA

출처 : 이경남 , RF 부품 수요 및 산업의 변화 , 정보통신정책 , 2004



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Mobile RF 중장기 부품 수요 3. Industries




21

RF 세부부품별 개발동향과 주요업체 (1)

3. Industries




22

RF 세부부품별 개발동향과 주요업체 (2)

3. Industries




23

RF 부품 산업의 변화 요인 3. Industries




24

국내 RF 부품업체의 SWOT 분석 3. Industries


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