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Electro-Optics:
Yoonchan Jeong School of Electrical Engineering, Seoul National
University
Tel: +82 (0)2 880 1623, Fax: +82 (0)2 873 9953 Email:
[email protected]
Electromagnetic Fields (1)
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2
• Textbook: Optical Waves in Crystals (Propagation and Control
of Laser Radiation), A. Yariv and P. Yeh, Wiley, 1983.
– Chap. 1. Electromagnetic Fields
– Chap. 2. Propagation of Laser Beams
– Chap. 3. Polarization of Light Waves
– Chap. 4. Electromagnetic Propagation in Anisotropic Media
– Chap. 5. Jones Calculus and its Application to Birefringent
Optical Systems
– Chap. 6. Electromagnetic Propagation in Periodic Media
– Chap. 7. Electro-optics
– Chap. 8. Electro-optic Devices
– Theory of lasers – Noise in optical detection and
generation
Topics to Study
Exam 1 (Paper)
Exam 2 (Take-home)
Exam 3 (Verbal)
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Electromagnetic Fields and Waves
3
“The ideal laser emits coherent electromagnetic radiation which
can be described by its electric and magnetic field vectors. The
propagation of this radiation field is governed by Maxwell’s
equations”
Maxwell’s equations & constitutive (material) equations:
Energy density
Energy flow
Poynting theorem
Conservation laws
Wave equations: Monochromatic plane waves
Phase velocity & group velocity
Physics Soton UK
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Faraday’s law
Ampère’s law
Gauss’s law
Constitutive relations
0=⋅∇
=⋅∇∂∂
+=×∇
∂∂
−=×∇
B
D
DJH
BE
ρt
t
Ready for electromagnetics!
The two divergence equations can be derived from the two curl
equations!
James Clerk Maxwell (1831−1879)
Michael Faraday (1791−1867)
Andre Marie Ampere (1775 - 1835)
Carl Friedrich Gauss (1777 - 1855)
→ 12 unknowns & 12 equations!
Maxwell’s Equations
4
MBBH
PEED
−==
+==
0
0
11µµ
εε
Oliver Heaviside (1850−1925)
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James Clerk Maxwell (1831−1879)
5
Source: https://www.youtube.com/watch?v=LjY1x5CDvD4
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Oliver Heaviside (1850−1925)
6
Source: https://www.youtube.com/watch?v=5hZvzpr2SDU
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0=∂∂
+×∇tBE
JDH =∂∂
−×∇t
ρ=⋅∇ D
0=⋅∇ B
7
Continuity conditions:
2
1
C
2na
2
1 2na
∫∫ ⋅∂∂
−=⋅→SC
dt
d sBlE
)A/m()( 212 sn JHHa =−×→
∫∫ ⋅
∂∂
+=⋅→SC
dt
d sDJlH
)V/m(21 tt EE =→
)C/m()( 2212 sn ρ=−⋅→ DDa
)T(21 nn BB =→
Electromagnetic Boundary Conditions
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JDH =∂∂
−×∇t
8
Ampère’s law:
t∂∂⋅−×∇⋅=⋅→
DEHEEJ )(
)()()( HEEHHE ×∇⋅−×∇⋅=×⋅∇←
tt ∂∂⋅−
∂∂⋅−×⋅−∇=⋅→
DEBHHEEJ )(
Poynting Theorem and Conservation Laws
Energy density and Poynting vector:
)(21 HBDE ⋅+⋅=U
HES ×=Poynting theorem (Conservation of energy):
EJS ⋅−=⋅∇+∂∂
tU
Internal heat dissipation Outward power flow
Electro-Optics:Topics to StudyElectromagnetic Fields and
WavesSlide Number 4Slide Number 5Slide Number 6Slide Number 7Slide
Number 8
