Post on 09-Aug-2020
課程編號:901 37500 科目名稱:光電導論 授課教師:邱奕鵬
Ray OpticsRay Optics
Quantum optics
E-M wave optics
Ray optics
Wave optics
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課程編號:901 37500 科目名稱:光電導論 授課教師:邱奕鵬
Fundamentals of PhotonicsFundamentals of Photonics
B. E. A. B. E. A. SalehSaleh and and M. C. M. C. TeichTeichWileyWiley--InterscienceInterscience19911991歐亞代理歐亞代理
Chapter 1Chapter 1
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課程編號:901 37500 科目名稱:光電導論 授課教師:邱奕鵬
Fundamentals of PhotonicsFundamentals of Photonics
B. E. A. B. E. A. SalehSaleh and and M. C. M. C. TeichTeichWileyWiley--InterscienceInterscience2007(2nd ed.)2007(2nd ed.)歐亞代理歐亞代理
Chapter 1Chapter 1
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課程編號:901 37500 科目名稱:光電導論 授課教師:邱奕鵬
FermatFermat’’s Principles PrincipleSimple componentsSimple componentsABCD matrixABCD matrix
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課程編號:901 37500 科目名稱:光電導論 授課教師:邱奕鵬
Ray OpticsRay Optics
從透鏡說起
Positive lens
Negative lens
Biconvex Plano-convex Concavo-convex(positive meniscus lens)
Biconcave Plano-concave Convexo-concave(negative meniscus lens)
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課程編號:901 37500 科目名稱:光電導論 授課教師:邱奕鵬
Ray OpticsRay Optics透鏡對球面波或平面波的影響
改變 Amplitude and Phase
由 A 到 B 的變化,可由 Fresnel integral formula (wave optics) 很精確算出,但是太複雜當λ
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課程編號:901 37500 科目名稱:光電導論 授課教師:邱奕鵬
FermatFermat’’s Principles PrincipleSimple componentsSimple componentsABCD matrixABCD matrix
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課程編號:901 37500 科目名稱:光電導論 授課教師:邱奕鵬
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課程編號:901 37500 科目名稱:光電導論 授課教師:邱奕鵬
FermatFermat’’s Principles Principle
∫=B
Adsrn )(Optical Path length A
Bds
Fermat’s PrincipleOptical rays traveling between two points A and B, follow a path such that the time of travel (or the optical path length) between the two points is an extremum relative to neighboring paths.
Light ray travels along the path of least time.
0)( =∫B
Adsrnδ
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課程編號:901 37500 科目名稱:光電導論 授課教師:邱奕鵬
FermatFermat’’s Principles PrincipleSimple componentsSimple componentsABCD matrixABCD matrix
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課程編號:901 37500 科目名稱:光電導論 授課教師:邱奕鵬
SnellSnell’’s Laws Law1122 sinsin θθ nn = (1.1-1)
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課程編號:901 37500 科目名稱:光電導論 授課教師:邱奕鵬
MirrorsMirrors
Law of Reflection: - The reflected ray lies in the plane of incidence; - The angle of reflection equals the angle of incidence.
paraxialapproximation
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課程編號:901 37500 科目名稱:光電導論 授課教師:邱奕鵬
Spherical MirrorsSpherical Mirrors
Ry
−≈+−
212 θθ (1.2-1)
Rzz −≈+
211
21
(1.2-2)
2Rf −≡ (1.2-3)
Focal length of a spherical mirror
fzz111
21
=+ (1.2-4)
Image Equation for paraxial rays
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課程編號:901 37500 科目名稱:光電導論 授課教師:邱奕鵬
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課程編號:901 37500 科目名稱:光電導論 授課教師:邱奕鵬
Spherical MirrorsSpherical Mirrors
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課程編號:901 37500 科目名稱:光電導論 授課教師:邱奕鵬
Refraction at Plane BoundariesRefraction at Plane Boundaries
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課程編號:901 37500 科目名稱:光電導論 授課教師:邱奕鵬
Total Internal RefractionTotal Internal Refraction
1
21sinnn
c−=θ (1.2-5)Critical Angle
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課程編號:901 37500 科目名稱:光電導論 授課教師:邱奕鵬
PrismsPrisms)cossinsin(sinsin 221 αθθααθθ ⋅−−⋅+−= − nd (1.2-6)
Deviation Angle
αθ ⋅−≈ )1(nd (1.2-7)Thin Prism
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課程編號:901 37500 科目名稱:光電導論 授課教師:邱奕鵬
Beam Splitters &Beam Splitters &Beam CombinersBeam Combiners
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課程編號:901 37500 科目名稱:光電導論 授課教師:邱奕鵬
Refraction at Spherical BoundariesRefraction at Spherical Boundaries
yRnnn
nn
2
121
2
12
−−≈ θθ
Rnn
zn
zn 12
2
2
1
1 −≈+
11
2
2
12 yz
znny =
(1.2-8)
(1.2-9)
(1.2-10)
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課程編號:901 37500 科目名稱:光電導論 授課教師:邱奕鵬
φ
φ
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課程編號:901 37500 科目名稱:光電導論 授課教師:邱奕鵬
ImagingImaging
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課程編號:901 37500 科目名稱:光電導論 授課教師:邱奕鵬
Thin LensesThin Lenses
fy
−= 12 θθ
⎟⎟⎠
⎞⎜⎜⎝
⎛−−=
21
11)1(1RR
nf
fzz111
21
=+
(1.2-11)
(1.2-12)
(1.2-13)
11
22 yz
zy −=
(1.2-14)
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課程編號:901 37500 科目名稱:光電導論 授課教師:邱奕鵬
Thin LensesThin Lenses
yRnnn
nn
2
121
2
12
−−≈ θθ (1.2-8)
fy
−= 12 θθ
⎟⎟⎠
⎞⎜⎜⎝
⎛−−=
21
11)1(1RR
nf
fzz111
21
=+
(1.2-11)
(1.2-12)
(1.2-13)
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課程編號:901 37500 科目名稱:光電導論 授課教師:邱奕鵬
Thick Lens (NonThick Lens (Non--paraxial rays)paraxial rays)
- Cannot assume same y when the ray enters and leaves the lens
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課程編號:901 37500 科目名稱:光電導論 授課教師:邱奕鵬
Light GuidesLight Guides
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課程編號:901 37500 科目名稱:光電導論 授課教師:邱奕鵬
Numerical Aperture of an Optical FiberNumerical Aperture of an Optical Fiber
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21sin nnNA a −== θ (1.2-15)
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課程編號:901 37500 科目名稱:光電導論 授課教師:邱奕鵬It is difficult for light originating inside a medium of large refractive index to be extracted in to air. (e.g. LED etc.)
TrappingTrappingof lightof light
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課程編號:901 37500 科目名稱:光電導論 授課教師:邱奕鵬
FermatFermat’’s Principles PrincipleSimple componentsSimple componentsABCD matrixABCD matrix
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課程編號:901 37500 科目名稱:光電導論 授課教師:邱奕鵬
Matrix OpticsMatrix Optics
112 θBAyy +=
112 θθ DCy +=
(1.4-1)
(1.4-2)
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課程編號:901 37500 科目名稱:光電導論 授課教師:邱奕鵬
Ray Matrix (ABCD Matrix)Ray Matrix (ABCD Matrix)
⎥⎦
⎤⎢⎣
⎡⎥⎦
⎤⎢⎣
⎡=⎥
⎦
⎤⎢⎣
⎡
1
1
2
2
θθy
DCBAy
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課程編號:901 37500 科目名稱:光電導論 授課教師:邱奕鵬
Ray Matrices of Simple Optical ComponentsRay Matrices of Simple Optical ComponentsFree-Space Propagation
⎥⎦
⎤⎢⎣
⎡=
101 d
M (1.4-3)
⎥⎥
⎦
⎤
⎢⎢
⎣
⎡=
2
1001
nnM
Refracting at a planar boundary
(1.4-4)
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課程編號:901 37500 科目名稱:光電導論 授課教師:邱奕鵬
Ray Matrices of Simple Optical ComponentsRay Matrices of Simple Optical Components
Refracting at a spherical boundary
⎥⎥
⎦
⎤
⎢⎢
⎣
⎡−
−=2
1
2
12 )(01
nn
RnnnM (1.4-5)
⎥⎥
⎦
⎤
⎢⎢
⎣
⎡−= 11
01
fM
Transmission through a thin lens
(1.4-6)
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課程編號:901 37500 科目名稱:光電導論 授課教師:邱奕鵬
Ray Matrices of Simple Optical ComponentsRay Matrices of Simple Optical Components
Reflection from a planar mirror
⎥⎦
⎤⎢⎣
⎡=
1001
M (1.4-7)
⎥⎥⎦
⎤
⎢⎢⎣
⎡= 12
01
RM
Reflection from a spherical mirror
(1.4-8)
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課程編號:901 37500 科目名稱:光電導論 授課教師:邱奕鵬
Matrices of Cascaded Optical ComponentsMatrices of Cascaded Optical Components
M1 M2 M3 MN...
123 MMMMM N= (1.4-9)
⎥⎥
⎦
⎤
⎢⎢
⎣
⎡= ∑=
10
11
N
i i
i
nd
M (1.4-10)
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課程編號:901 37500 科目名稱:光電導論 授課教師:邱奕鵬
Matrices of Cascaded Optical ComponentsMatrices of Cascaded Optical Components
⎥⎥
⎦
⎤
⎢⎢
⎣
⎡−−=
fd
f
dM 11
1(1.4-11)
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課程編號:901 37500 科目名稱:光電導論 授課教師:邱奕鵬
Imaging with a Thick LensImaging with a Thick Lens
221
21
111 fssorfzz
==+ (1.4-12)
fzshdzfzshdz
−=+=−=+=
22
22
11
11
nRfdnh )1( −=
⎥⎦⎤
⎢⎣⎡ −−
−=
Rd
nn
Rn
f12)1(1
where
(1.4-16)
(1.4-15)
(1.4-14)
(1.4-13)
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課程編號:901 37500 科目名稱:光電導論 授課教師:邱奕鵬
Periodic Optical SystemsPeriodic Optical Systems
BAyy mm
m−
= +1θ⎥⎦
⎤⎢⎣
⎡⎥⎦
⎤⎢⎣
⎡=⎥
⎦
⎤⎢⎣
⎡
0
0
θθy
DCBAy m
m
m
BAyy mm
m12
1++
+−
=θ
mmm yFbyy2
12 2 −= ++ 2DAb += [ ]MBCADF det2 =−=
mm hyy 0= 02 22 =+− Fbhh 22 bFjbh −±= F
b1cos−=ϕ
)sin( 0max ϕϕ += mFyym
m
)sin( 0max ϕϕ += myym1=FIf
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課程編號:901 37500 科目名稱:光電導論 授課教師:邱奕鵬
Periodic Optical SystemsPeriodic Optical Systems
12
1 ≤+
≤DA
orbStable Condition
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課程編號:901 37500 科目名稱:光電導論 授課教師:邱奕鵬
Equally Spaced Identical LensesEqually Spaced Identical Lenses
fd 40 ≤≤
)sin( 0max ϕϕ += myym
⎟⎟⎠
⎞⎜⎜⎝
⎛−= −
fd
21cos 1ϕ
fd 2=
fd =
Case 1
Case 2
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課程編號:901 37500 科目名稱:光電導論 授課教師:邱奕鵬
Equally Spaced Identical LensesEqually Spaced Identical Lenses
12
12
1011
≤⎟⎟⎠
⎞⎜⎜⎝
⎛−⎟⎟
⎠
⎞⎜⎜⎝
⎛−≤
fd
fd (1.4-33)
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課程編號:901 37500 科目名稱:光電導論 授課教師:邱奕鵬
Optical ResonatorOptical Resonator
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課程編號:901 37500 科目名稱:光電導論 授課教師:邱奕鵬
Optical SystemsOptical Systems
Projector
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課程編號:901 37500 科目名稱:光電導論 授課教師:邱奕鵬
LCD LCD 投投 影影 機機 原原 理理: : 穿透式穿透式
資料來源:PC Magazine, 資策會MIC 1999年5月*PBS:Polarizing Beam Splitter
Light source
鏡片陣列
PBS陣列
分色鏡
LCD Panel
合光稜鏡
Projectror Lens
screen
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課程編號:901 37500 科目名稱:光電導論 授課教師:邱奕鵬
Optical SystemsOptical SystemsMicroscope
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課程編號:901 37500 科目名稱:光電導論 授課教師:邱奕鵬
Optical SystemsOptical SystemsTelescope