Fano Resonances in Optics and Microwaves: Physics and Applications

592 Pages·2018·29.995 MB·English

by  Eugene Kamenetskii, Almas Sadreev, Andrey Miroshnichenko

Springer Series in Optical Sciences 219
Eugene Kamenetskii · Almas Sadreev 
Andrey Miroshnichenko    Editors
Fano
Resonances
in Optics and
Microwaves
Physics and Applications
Springer Series in Optical Sciences
Volume 219
Founded by
H. K. V. Lotsch
Editor-in-chief
William T. Rhodes, Florida Atlantic University, Boca Raton, FL, USA
Series editors
Ali Adibi, School of Electrical and Computer Engineering, Georgia Institute of
Technology, Atlanta, GA, USA
Toshimitsu Asakura, Hokkai-Gakuen University, Sapporo, Hokkaido, Japan
Theodor W. Hänsch, Max-Planck-Institut für Quantenoptik, Garching, Bayern,
Germany
Ferenc Krausz, Garching, Bayern, Germany
Barry R. Masters, Cambridge, MA, USA
Katsumi Midorikawa, Laser Technology Laboratory, RIKEN Advanced Science
Institute, Saitama, Japan
Bo A. J. Monemar, Department of Physics and Measurement Technology,
Linköping University, Linköping, Sweden
Herbert Venghaus, Ostseebad Binz, Germany
Horst Weber, Berlin, Germany
Harald Weinfurter, München, Germany
Springer Series inOptical SciencesisledbyEditor-in-ChiefWilliamT. Rhodes,
Georgia Institute of Technology, USA, and provides an expanding selection of
research monographs in all major areas of optics:
– lasers and quantum optics
– ultrafast phenomena
– optical spectroscopy techniques
– optoelectronics
– information optics
– applied laser technology
– industrial applications and
– other topics of contemporary interest.
With this broad coverage of topics the series is useful to research scientists and
engineers who need up-to-date reference books.
More information about this series at http://www.springer.com/series/624
Eugene Kamenetskii Almas Sadreev
(cid:129)
Andrey Miroshnichenko
Editors
Fano Resonances in Optics
and Microwaves
Physics and Applications
123
Editors
Eugene Kamenetskii Andrey Miroshnichenko
Department ofElectrical andComputer Schoolof Engineering andInformation
Engineering Technology
Ben-Gurion University of the Negev University of NewSouthWales
Beersheba, Israel Canberra,ACT, Australia
Almas Sadreev
Federal ResearchCenter KSCSBRAS
Kirensky Institute of Physics
Krasnoyarsk, Russia
ISSN 0342-4111 ISSN 1556-1534 (electronic)
SpringerSeries inOptical Sciences
ISBN978-3-319-99730-8 ISBN978-3-319-99731-5 (eBook)
https://doi.org/10.1007/978-3-319-99731-5
LibraryofCongressControlNumber:2018953587
©SpringerNatureSwitzerlandAG2018
Thisworkissubjecttocopyright.AllrightsarereservedbythePublisher,whetherthewholeorpart
of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations,
recitation, broadcasting, reproduction on microfilms or in any other physical way, and transmission
orinformationstorageandretrieval,electronicadaptation,computersoftware,orbysimilarordissimilar
methodologynowknownorhereafterdeveloped.
The use of general descriptive names, registered names, trademarks, service marks, etc. in this
publicationdoesnotimply,evenintheabsenceofaspecificstatement,thatsuchnamesareexemptfrom
therelevantprotectivelawsandregulationsandthereforefreeforgeneraluse.
The publisher, the authors and the editors are safe to assume that the advice and information in this
book are believed to be true and accurate at the date of publication. Neither the publisher nor the
authorsortheeditorsgiveawarranty,expressorimplied,withrespecttothematerialcontainedhereinor
for any errors or omissions that may have been made. The publisher remains neutral with regard to
jurisdictionalclaimsinpublishedmapsandinstitutionalaffiliations.
ThisSpringerimprintispublishedbytheregisteredcompanySpringerNatureSwitzerlandAG
Theregisteredcompanyaddressis:Gewerbestrasse11,6330Cham,Switzerland
Preface
Scatteringofwavesinvolvesdifferentphenomena,butthemostcommononeisthe
interference. It has different manifestations, including constructive interference,
correspondingtothefieldenhancement,anddestructiveinterference,leadingtothe
field suppression. One of the interesting phenomena is resonant scattering when
coexistence of resonant transmission and resonant reflection can be reduced to the
interferenceofdiscreteresonantstateswithacontinuumofnonresonantpropagation
modes.Itresultsinanasymmetricprofileoftheresonantlineshapes.Theseareknown
as Fano resonances. It turns out to be a common situation in any complex system
describing wave propagation regardless of their nature, including classical and
quantummechanicalsystems.Theseeffectsareintimatelyrelatedtothepresenceof
quasiboundstatesresonantlyinteractingwithacontinuumofscatteringstates.Allthis
makes the Fano resonancea verygeneric phenomenon.The Fanoresonances have
been extensively studied in nanoparticles, plasmonic, dielectric, and magnonic
structures, and metamaterials as well. With their unique physical properties and
unusual combination of classical and quantum effects, Fano resonances have a
huge application potential in a wide range of fields, from telecommunication to
ultrasensitivebiosensing,medicalinstrumentation,anddatastorage.
Thisbookenablesreaderstoacquirethemultifacetedunderstandingrequiredfor
these multidisciplinary challenges. The book has 23 chapters in total covering
variousaspectsoftheFanoresonancesmanifestation.Thechapterswerewrittenby
international experts from 16 countries (Turkey, South Korea, India, Italy,
Switzerland, Japan, China, France, Russia, Morocco, USA, Belgium, Brazil,
Germany, Australia, and Israel), who have contributed to the advancement of sci-
enceandengineeringoftheFanoresonanceinopticalandmicrowavesystems.The
spectrumoftheproblemspresentedinthisbookisverywide.ItisshownthatFano
resonances manifesting novel phenomena both in linear and nonlinear response of
plasmonicnanomaterialscanextendthelifetimeofplasmonicexcitations,enabling
the operation of nanolasers. A new pathway toward nonmagnetic excitation of an
optical spin angular momentum based on the spin-dependent excitation of Fano
resonances is introduced. A new concept based on polarization Mueller matrix
analysis for tuning the Fano interference effect and the resulting asymmetric
v
vi Preface
spectral line shape in anisotropic optical system is discussed. A comprehensive
review of recent theoretical and experimental advances in the field of Fano reso-
nances and bound states in the continuum for light transport in evanescently cou-
pledopticalstructuresisprovidedincludingarraysofdielectricopticalwaveguides
andcoupledresonatoropticalwaveguides.Thereviewofdifferentformsofcoupled
oscillatormodelsforFanoresonantopticalandmicrowavesystemsisgiven.There
are studies of tunable metamaterials that realize the storage and retrieval of elec-
tromagnetic waves in the same way as the atomic electromagnetically- nduced
transparencysystem.Thetemporalcoupled-modetheoryformalism todescribethe
coupling process and the interference effect involved with optical scattering and
absorption in nanostructures is shown. To unveil the origin of Fano lineshapes in
the scattering efficiency of a spherical nanoparticle, the analysis of the full-wave
scatteringintermsofasetofeigenmodesindependentofitspermittivityisderived.
Basedonsymmetryconsiderations,withthetheoreticalandexperimentalevidence,
itisshownthatelectromagneticallyinduced-transparencyanddarkmodeexcitation
are not necessarily associated. The feasibility of realizing the light-tunable Fano
resonance in the metal-dielectric multilayer structures is demonstrated.
In the book, the reader can find a study of the core-level absorption of an
impurity in a one-dimensional semiconductor superlattice with the use of the
complex spectral analysis. One can see the results of investigation of the Fano
resonances in high-index dielectric nanowires for directional scattering. There are
chapters with studies of total wave refection in band networks due to impurities,
disorder, and quasiperiodic potentials; the theory of the multiple resonance inter-
ference in metallic nanohole array systems based on spatial and temporal
coupled-mode methods; and the theory describing the Fano asymmetry by
expanding the transmission amplitude with respect to states with point spectra,
includingnotonlyboundstates,butalsoresonantstateswithcomplexeigenvalues.
It is shown that the Fano resonances can be effectively engineered with the use of
multilayered hyperbolic metamaterials with either metal-dielectric or
graphene-based multilayers. For Fano resonance generation, a new type of struc-
tures—3Dfoldingmetamaterials—isintroduced.Itisdemonstratedthattheconcept
of Fano resonance can be of significant interest in the context of a new emerging
topic of topological photonics. Analytically, it is shown that the Purcell factor
relatedtoadipoleemitterorientedorthogonalortangentialtothesphericalsurface
canexhibittheFanoorLorentzianlineshapesinthenear-field.Itisalsodiscussed
that almost any resonant response, either in directional or total scattering light
scattering,canbeefficientlydescribedintermsofFanoresonances.TuningofFano
resonance by waveguide rotation is considered in a non-axisymmetric
acoustic-wave structure. It is shown that interaction of magnetic-dipolar-mode
ferrite particles with a microwave-field continuum is distinguished by broken dual
(electric–magnetic) symmetry. A unified vision of strong, weak, and critical cou-
pling is provided based on a simple coupled oscillator model with a nonresonant
background usually employed to describe Fano resonances in nanophotonic
structures.
Preface vii
Wehope thatthebook willbe avaluableaidtounderstand thecurrent research
of the Fano resonance phenomena in optical and microwave structures for scien-
tists, researchers, and graduate students working in the fields of electronic engi-
neering, materials science, and condense matter physics. We are thankful to all
authorswhoacceptedourinvitationtocontributetherespectivechapters.Wewould
liketoexpressourgratitudetoDr.ClausAscheron,ExecutiveEditor,Springer,for
hisinitialsupportofthebookproposalandcollaborationwithusduringpreparation
ofthebook.WearethankfultoAdelheidDuhm,JayanthiKrishnamoorthi,andElke
Sauer from the Springer Production Department for their assistance at the book
production.
Beersheba, Israel Eugene Kamenetskii
Krasnoyarsk, Russia Almas Sadreev
Canberra, Australia Andrey Miroshnichenko
Contents
1 Fano Resonances in the Linear and Nonlinear Plasmonic
Response. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1
Mehmet Emre Taşgın, Alpan Bek and Selen Postacı
1.1 Plasmonics . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1
1.2 Fano Resonances in Linear Response. . . . . . . . . . . . . . . . . . . 5
1.3 Fano Resonances in Nonlinear Response . . . . . . . . . . . . . . . . 10
1.3.1 Overlap Integrals and Selection Rules . . . . . . . . . . . . 12
1.3.2 Enhancement and Suppression of SHG . . . . . . . . . . . 15
1.3.3 Silent Enhancement of SERS. . . . . . . . . . . . . . . . . . . 23
1.3.4 Interference of Multiple Conversion Paths
and FWM. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 25
1.4 Summary . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 26
References . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 27
2 Fano-resonant Excitations of Generalized Optical Spin Waves. . . . 33
Xianji Piao, Sunkyu Yu and Namkyoo Park
2.1 Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 33
2.2 Coupled Mode Theory for Optical Spin Waves. . . . . . . . . . . . 34
2.2.1 TCMT Analysis of 2D non-Hermitian Chirality . . . . . 36
2.2.2 TCMT Analysis of 3D Bulk Chirality with Circular
Birefringent Mirrors . . . . . . . . . . . . . . . . . . . . . . . . . 37
2.3 Fano-resonant Excitation of Optical Spin . . . . . . . . . . . . . . . . 42
2.3.1 Fano Line Shapes Toward Spectral
Spin Separation . . . . . . . . . . . . . . . . . . . . . . . . . . . . 42
2.3.2 Spin-Dependent Antisymmetric Fano Resonances. . . . 44
2.3.3 Spin Fano Parameters . . . . . . . . . . . . . . . . . . . . . . . . 46
2.4 Applications and Metamaterial Realizations . . . . . . . . . . . . . . 47
2.4.1 Fano-resonant Optical Spin Switching . . . . . . . . . . . . 47
2.4.2 Fano-resonant ‘Net’ Spin Excitation for
Unpolarized Light. . . . . . . . . . . . . . . . . . . . . . . . . . . 49
ix
x Contents
2.4.3 Metamaterial Realizations . . . . . . . . . . . . . . . . . . . . . 50
2.5 Conclusions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 52
References . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 52
3 Mueller Matrix Approach for Engineering Asymmetric
Fano-resonance Line Shape in Anisotropic Optical System. . . . . . . 57
A. K. Singh, S. Chandel, S. K. Ray, P. Mitra and N. Ghosh
3.1 Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 58
3.2 Basics of Polarization . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 59
3.2.1 Polarization Algebra . . . . . . . . . . . . . . . . . . . . . . . . . 60
3.2.2 Comprehensive Polarimetric Platform for Plasmonic
Study. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 65
3.3 Fano Resonance in Scattering . . . . . . . . . . . . . . . . . . . . . . . . 67
3.4 Plasmonic Waveguiding Photonic Crystal. . . . . . . . . . . . . . . . 69
3.4.1 Resonant Anomaly in Metal Dielectric Grating. . . . . . 70
3.4.2 Rayleigh Anomaly in Metal Dielectric Grating. . . . . . 72
3.5 Polarization Mediated Tuning of Fano-resonance . . . . . . . . . . 72
3.5.1 Plasmonic Oligomers . . . . . . . . . . . . . . . . . . . . . . . . 73
3.5.2 Polarisation Controlled Tuning of Fano
Asymmetry. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 74
3.6 Conclusion and Outlook . . . . . . . . . . . . . . . . . . . . . . . . . . . . 81
References . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 82
4 Fano Resonances and Bound States in the Continuum in
Evanescently-Coupled Optical Waveguides and Resonators . . . . . . 85
Stefano Longhi
4.1 Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 85
4.2 Fano Resonance and Bound States in the Continuum
in Optical Waveguide Lattices with Side-Coupled
Waveguides . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 86
4.3 Fano Resonance and Particle Statistics . . . . . . . . . . . . . . . . . . 93
4.4 Dynamical Control of Fano Resonances . . . . . . . . . . . . . . . . . 99
4.5 Fano Resonances in Non-Hermitian Photonic Structures . . . . . 102
References . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 106
5 Model of Coupled Oscillators for Fano Resonances . . . . . . . . . . . . 109
Benjamin Gallinet
5.1 Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 110
5.2 Oscillator Model . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 110
5.3 Coupled Oscillator Model . . . . . . . . . . . . . . . . . . . . . . . . . . . 113
5.4 Resonance Formulas . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 117
5.4.1 Derivation of Resonance Formula Without Intrinsic
Damping . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 118
5.4.2 Derivation of Formula Including Intrinsic
Damping . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 121