yadong xu & huanyang chen soochow university …ias.ust.hk/events/201601wp/doc/presentation...

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Yadong Xu & Huanyang Chen Soochow University 15 Jan 2016

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Page 1: Yadong Xu & Huanyang Chen Soochow University …ias.ust.hk/events/201601wp/doc/Presentation file_Huanyang...Loss problem J. B. Pendry, Negative Refraction Makes a Perfect Lens, Phys

Yadong Xu & Huanyang Chen

Soochow University

15 Jan 2016

Page 2: Yadong Xu & Huanyang Chen Soochow University …ias.ust.hk/events/201601wp/doc/Presentation file_Huanyang...Loss problem J. B. Pendry, Negative Refraction Makes a Perfect Lens, Phys

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

Page 3: Yadong Xu & Huanyang Chen Soochow University …ias.ust.hk/events/201601wp/doc/Presentation file_Huanyang...Loss problem J. B. Pendry, Negative Refraction Makes a Perfect Lens, Phys

Conjugate metamaterials

Page 4: Yadong Xu & Huanyang Chen Soochow University …ias.ust.hk/events/201601wp/doc/Presentation file_Huanyang...Loss problem J. B. Pendry, Negative Refraction Makes a Perfect Lens, Phys

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

Page 5: Yadong Xu & Huanyang Chen Soochow University …ias.ust.hk/events/201601wp/doc/Presentation file_Huanyang...Loss problem J. B. Pendry, Negative Refraction Makes a Perfect Lens, Phys

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

Page 6: Yadong Xu & Huanyang Chen Soochow University …ias.ust.hk/events/201601wp/doc/Presentation file_Huanyang...Loss problem J. B. Pendry, Negative Refraction Makes a Perfect Lens, Phys

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

2

TEr i

1TEt i

2

'TEr i

' 1TEt i

Page 7: Yadong Xu & Huanyang Chen Soochow University …ias.ust.hk/events/201601wp/doc/Presentation file_Huanyang...Loss problem J. B. Pendry, Negative Refraction Makes a Perfect Lens, Phys
Page 8: Yadong Xu & Huanyang Chen Soochow University …ias.ust.hk/events/201601wp/doc/Presentation file_Huanyang...Loss problem J. B. Pendry, Negative Refraction Makes a Perfect Lens, Phys

2 2

22

1 1

1 1tan cot

2 21 1

i i

TE i iii

i i

e er

e ei e ie

e e

2 2

2 2 22 2 2

(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

2 2 22 2 2

sin2 (1 ) 2

(1 ) (1 )cos sin

2 2

ii

i i i

n i i ii

e ee e e

ae e e

e

2 2

22

1 ( 1)

1 1tan cot

2 21 1

i i

TM i iii

i i

e i er

e eee

e e

2 2

2 2 22 2 2

(1 ) (1 )

(1 ) (1 )sin cos

2 2

i i ii

TM 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

222

2 2 22 2 2

sin2 (1 ) 2'

(1 ) (1 )cos sin

2 2

ii

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

Page 9: Yadong Xu & Huanyang Chen Soochow University …ias.ust.hk/events/201601wp/doc/Presentation file_Huanyang...Loss problem J. B. Pendry, Negative Refraction Makes a Perfect Lens, Phys

( )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

Page 10: Yadong Xu & Huanyang Chen Soochow University …ias.ust.hk/events/201601wp/doc/Presentation file_Huanyang...Loss problem J. B. Pendry, Negative Refraction Makes a Perfect Lens, Phys

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

2

TEr i

1TEt i

2

'TEr i

' 1TEt i

Page 11: Yadong Xu & Huanyang Chen Soochow University …ias.ust.hk/events/201601wp/doc/Presentation file_Huanyang...Loss problem J. B. Pendry, Negative Refraction Makes a Perfect Lens, Phys
Page 12: Yadong Xu & Huanyang Chen Soochow University …ias.ust.hk/events/201601wp/doc/Presentation file_Huanyang...Loss problem J. B. Pendry, Negative Refraction Makes a Perfect Lens, Phys
Page 13: Yadong Xu & Huanyang Chen Soochow University …ias.ust.hk/events/201601wp/doc/Presentation file_Huanyang...Loss problem J. B. Pendry, Negative Refraction Makes a Perfect Lens, Phys
Page 14: Yadong Xu & Huanyang Chen Soochow University …ias.ust.hk/events/201601wp/doc/Presentation file_Huanyang...Loss problem J. B. Pendry, Negative Refraction Makes a Perfect Lens, Phys

2sin

cos 2

0 sindk其中

2sin

cos

2

0 sin dk,

arcsinc

i i共轭材料:

Page 15: Yadong Xu & Huanyang Chen Soochow University …ias.ust.hk/events/201601wp/doc/Presentation file_Huanyang...Loss problem J. B. Pendry, Negative Refraction Makes a Perfect Lens, Phys
Page 16: Yadong Xu & Huanyang Chen Soochow University …ias.ust.hk/events/201601wp/doc/Presentation file_Huanyang...Loss problem J. B. Pendry, Negative Refraction Makes a Perfect Lens, Phys

FP

resonance

Surface

states

Page 17: Yadong Xu & Huanyang Chen Soochow University …ias.ust.hk/events/201601wp/doc/Presentation file_Huanyang...Loss problem J. B. Pendry, Negative Refraction Makes a Perfect Lens, Phys
Page 18: Yadong Xu & Huanyang Chen Soochow University …ias.ust.hk/events/201601wp/doc/Presentation file_Huanyang...Loss problem J. B. Pendry, Negative Refraction Makes a Perfect Lens, Phys

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.

Page 19: Yadong Xu & Huanyang Chen Soochow University …ias.ust.hk/events/201601wp/doc/Presentation file_Huanyang...Loss problem J. B. Pendry, Negative Refraction Makes a Perfect Lens, Phys

Odd modes

Even modes

Surface modes

* 0.5u i

1

FP Resonance Diagram

m=2

m=1

m=3

Eigen states Diagram

Page 20: Yadong Xu & Huanyang Chen Soochow University …ias.ust.hk/events/201601wp/doc/Presentation file_Huanyang...Loss problem J. B. Pendry, Negative Refraction Makes a Perfect Lens, Phys

Odd modes

Even modes

Surface modes

FP Resonance

Diagram

Eigen states

Diagram

m=2

m=1

m=3

Page 21: Yadong Xu & Huanyang Chen Soochow University …ias.ust.hk/events/201601wp/doc/Presentation file_Huanyang...Loss problem J. B. Pendry, Negative Refraction Makes a Perfect Lens, Phys

* ,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

Page 22: Yadong Xu & Huanyang Chen Soochow University …ias.ust.hk/events/201601wp/doc/Presentation file_Huanyang...Loss problem J. B. Pendry, Negative Refraction Makes a Perfect Lens, Phys

Eigen states Diagram

FP Resonance Diagram

Odd modes

Even modes

Surface modes

m=2

m=1

m=3

Page 23: Yadong Xu & Huanyang Chen Soochow University …ias.ust.hk/events/201601wp/doc/Presentation file_Huanyang...Loss problem J. B. Pendry, Negative Refraction Makes a Perfect Lens, Phys

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.

Page 24: Yadong Xu & Huanyang Chen Soochow University …ias.ust.hk/events/201601wp/doc/Presentation file_Huanyang...Loss problem J. B. Pendry, Negative Refraction Makes a Perfect Lens, Phys

Acknowledgements Yadong, Jianhua

Yangyang, Yanyan, Xulin

Funding from NSFC

Ministry of Education

Thanks you!