Yadong Xu & Huanyang Chen Soochow University …ias.ust.hk/events/201601wp/doc/Presentation...
Transcript of Yadong Xu & Huanyang Chen Soochow University …ias.ust.hk/events/201601wp/doc/Presentation...
Yadong Xu & Huanyang Chen
Soochow University
15 Jan 2016
Loss problem
J. B. Pendry, Negative Refraction Makes a
Perfect Lens, Phys. Rev. Lett. 85, 3966 (2000).
D. R. Smith and D.
Schurig, Phys. Rev. Lett.
90, 077405 (2003).
1 0.001i
Conjugate metamaterials
0E i H
0H i E
' iE e E
' iH e H
( )' ie ( )' ie
2 ' 'n
1 ' ie ' ie
' ' 1
D. Dragoman, Optics Communications 284, 2095-2098 (2011). Y. Xu et al, arXiv:1510.08638
1
tan1 2
i
TE i
er i
e
22
sec1 2
ii
TE i
et e
e
cot1 2'1
i
TE i
er
e i
2csc2 2'
1
i
i
TE i
ee
te i
'z zk k 'z zk k
,TE TEr t
1
tan1 2
i
TE i
er i
e
22
sec1 2
ii
TE i
et e
e
cot1 2'1
i
TE i
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e i
2csc2 2'
1
i
i
TE i
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te i
'z zk k 'z zk k
2
TEr i
1TEt i
2
'TEr i
' 1TEt i
2 2
22
1 1
1 1tan cot
2 21 1
i i
TE i iii
i i
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e ei e ie
e e
2 2
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(1 ) (1 )
(1 ) (1 )sin cos
2 2
i i ii
TE i i ii
e e et e
e e ee
2
2 2 22 2 2
cos2 (1 ) 2
(1 ) (1 )cos sin
2 2
i
i i
p i i ii
ee e
ae e e
e
( )22 2
2
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sin2 (1 ) 2
(1 ) (1 )cos sin
2 2
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i i i
n i i ii
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ae e e
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2 21 1
i i
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(1 ) (1 )sin cos
2 2
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TM i i ii
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(1 ) (1 )cos sin
2 2
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i i
p i i ii
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sin2 (1 ) 2'
(1 ) (1 )cos sin
2 2
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i i i
n i i ii
i e ee e e
ae e e
e
2 2 2
cos2
| cos sin |2 2
pi
A
e
2 2 2
sin2
| cos sin |2 2
ni
A
e
zk d 0, 1, 0p nA A
, 0, 1p nA A
1 1, ,
2 2 2p nA A
( )2 2
exp
exp2 cos sin2 2
s pT
d
( )2 2
exp( )
cos sin exp(2 )2 2
zs p
z
ik dT
ik d
zk i
1
tan1 2
i
TE i
er i
e
22
sec1 2
ii
TE i
et e
e
cot1 2'1
i
TE i
er
e i
2csc2 2'
1
i
i
TE i
ee
te i
'z zk k 'z zk k
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TEr i
1TEt i
2
'TEr i
' 1TEt i
2sin
cos 2
0 sindk其中
2sin
cos
2
0 sin dk,
arcsinc
i i共轭材料:
FP
resonance
Surface
states
Transmission
Transmission
0 20 40 60 80
0.1
0 20 40 60 80
0.1
0 20 40 60 80
0.1
exp(i )
exp( i )
A
A
(a)
(b)
(c)
0.5, 0.5A
0.5, 0.55A
0.5, 0.45A
0.5, 0.65A
0 20 40 60 80
0.1
0.5, 0.35A
0 20 40 60 80
0.1
Yanyan Cao, Yangyang Fu, Yadong Xu,
and Huanyang Chen, unpublished.
Odd modes
Even modes
Surface modes
* 0.5u i
1
FP Resonance Diagram
m=2
m=1
m=3
Eigen states Diagram
Odd modes
Even modes
Surface modes
FP Resonance
Diagram
Eigen states
Diagram
m=2
m=1
m=3
* ,0 1u ni n
1, 2d
Transmission
Transmission
Odd modes
Even modes
Surface modes
FP Resonance Diagram
m=2
m=1
m=3
Eigen states Diagram
Eigen states Diagram
FP Resonance Diagram
Odd modes
Even modes
Surface modes
m=2
m=1
m=3
Conclusions Transformation optics makes it possible to design
conjugate metamaterials.
Perfect lens is the limiting case, tiny deviations will produce imperfections in the imaging functionality.
Purely imaginary metamaterials support perfect conversions from propagating waves to evanescent waves, lasing modes, and FP resonances, if the incident momentum is matched.
Acknowledgements Yadong, Jianhua
Yangyang, Yanyan, Xulin
Funding from NSFC
Ministry of Education
Thanks you!