CN107102402A - Super transmission waveguide design method based on polarization resonance and Prague resonant interaction - Google Patents
Super transmission waveguide design method based on polarization resonance and Prague resonant interaction Download PDFInfo
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- CN107102402A CN107102402A CN201710424024.3A CN201710424024A CN107102402A CN 107102402 A CN107102402 A CN 107102402A CN 201710424024 A CN201710424024 A CN 201710424024A CN 107102402 A CN107102402 A CN 107102402A
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- G—PHYSICS
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- G02B—OPTICAL ELEMENTS, SYSTEMS OR APPARATUS
- G02B6/00—Light guides; Structural details of arrangements comprising light guides and other optical elements, e.g. couplings
- G02B6/10—Light guides; Structural details of arrangements comprising light guides and other optical elements, e.g. couplings of the optical waveguide type
- G02B6/12—Light guides; Structural details of arrangements comprising light guides and other optical elements, e.g. couplings of the optical waveguide type of the integrated circuit kind
- G02B6/122—Basic optical elements, e.g. light-guiding paths
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Abstract
The present invention proposes a kind of design method based on polarization resonance and the super transmission waveguide of Prague resonant interaction, and the super transmission waveguide is applied in surface plasmon waveguide system, its elementary cell is made up of the inter metal dielectric metal waveguide of nanoscale and the side-coupled resonant cavity of periodic arrangement.Therefore this chain type structure of resonant cavity has the guided wave and band gap properties of similar photonic crystal, under the exciting of single-ended waveguide mode, is coupled by wave guide mode with side-coupled resonance mode, so as to modulate transmissison characteristic.Specifically, the working frequency of waveguiding structure can be regulated and controled by the eigenfrequency of lateral resonant cavity；Waveguide integrally can be achieved filtering, transmission and super transmission and form laser state.In addition, the present invention is also modulated using the gain of resonant cavity, loss to waveguide transmissison characteristic.The present invention is based on coupled mode theory and Bradley case theory, with reference to polarization resonance and Prague Resonant Interaction, gives the dispersion relation of the super transmission waveguide.
Description
Technical field
The invention belongs to micro-nano photonic propulsion and electromagnetism Meta Materials field, more particularly to a kind of regulation transmissison characteristic of can be used for
The design method of optical micro/nano metal-dielectric-metal waveguide.
Background technology
Metal-dielectric-metal structure is the micro-nano photonics systems for having very much application prospect, can effectively break through biography
The function for optical diffraction limit of uniting, and light field can effectively be strapped in nanoscale, thus be widely used in design and
The optics sub-wavelength device of license nanometer two-stage, to realize photonic integrated circuit, with as problem of concern in recent years and
Field of scientific study.In addition in the basic structure insertion waveguiding structure such as nm harmonic chamber, interference groove, transmission mode can be realized
Regulation and control and optical signal prosessing.But be due to metal in visible ray and near-infrared frequency range, have larger loss, cause light wave
A very short segment distance can only be transmitted in metal-dielectric-metal waveguide, attenuates soon, significantly limit gold
The practical application of category-dielectric-metallic waveguide and preparation.
Parity-time symmetrical concept (refers to non-patent literature 1 from quantum mechanics:C.M.Bender,
S.Bottcher,.Real spectra in non-Hermitian Hamiltonians having PT
Symmetry.Phys.Rev.Lett.1998,80,5243) set out, utilize degeneracy point (there is identical characteristic value and eigenstate)
The SPA sudden phase anomalies at place, can effectively utilize fissipation factor, realize Lossless transport.Analogy based on quantum mechanics and optical system
Property (refer to non-patent literature 2:C.E.Ruter,K.G.Makris,R.El-Ganainy,D.N.Christodoulides,
M.Segev,D.Kip.Observation of parity-time symmetry in optics.Nat.Phys.2010,6,
192), by parity-time symmetrical concept apply with optical waveguide system so that the increase of fissipation factor is beneficial to energy on the contrary
The transmission of amount in the waveguide.In lateral resonant cavity coupled waveguide system, lateral resonant cavity provides polarization resonances, multiple lateral
Because Order Scattering provides Prague resonances between resonant cavity, both interactions provide transmissison characteristic good adjust
System.And the absorption loss in precious metal material, it can be realized by the gain in side-coupled resonant cavity, loss configuration super
Penetrate.
The present invention is based on metal-dielectric-metal waveguide using parity-time symmetrical concept, is tied by periodicity
The interaction of Prague resonance and polarization resonance in structure is realized to the transmissison characteristic of surface phasmon in Wave guide system
Regulation and control, make it have super transmission.
The content of the invention
The present invention proposes a kind of super transmission waveguide design method based on polarization resonance and Prague resonant interaction, the ripple
Lead and be made up of metal-dielectric-metal waveguide and side-coupled resonant cavity chain (in embedded clad), in unilateral port mould
Under the exciting of formula, this structure can form the transmission mode of surface plasma polarized wave.By the method for coupled mode theory with
And applying periodic Bradley case theory, the present invention analyzes the intrinsic State evolution of side-coupled system and single-ended excited
Transmissison characteristic.In addition, the invention also provides different Prague resonances (transmission phase caused by between adjacent resonant cavity)
Influence to transmissison characteristic, it is in addition common for the periodic side-coupled resonant structure of metal-dielectric-metal nano
The transmission of gain and fissipation factor in chamber all to this waveguide of shaking plays vital effect.The present invention is for nanocomposite optical device
The design of part provides a kind of theoretical foundation and normative reference.
The beneficial effects of the invention are as follows：
1. the super interaction for transmiting waveguide by polarization resonances and Prague resonances of nanometer proposed by the present invention, this
Invention utilizes coupled mode theory, preferably demonstrates Lossless transport and the defeated condition for needing to follow of super transparent transmission.
, can be with the resonance of specific Prague and gain, loss modulation 2. the super transmission waveguide of nanometer that the present invention is designed
Realize filtering and super transmission function.To overcome the waveguide transmission of material absorption to provide good theoretical foundation and technical support.
Brief description of the drawings
Fig. 1 (a) is the periodic structure based on polarization resonance and the super transmission waveguide of Prague resonant interaction of the invention
Schematic diagram；
Fig. 1 (b) shows for the structure cell based on polarization resonance and the super transmission waveguide of Prague resonant interaction of the present invention
It is intended to；
Fig. 2 is the structure cell equivalent schematic of the waveguide of the present invention；
Fig. 3 (a) is the ω of γ=0.010, Prague resonance be 1/1.3 ω0Dispersion relation figure；
Fig. 3 (b) is the ω of γ=0.040, Prague resonance be 1/1.3 ω0Dispersion relation figure；
Fig. 4 is that the transmission spectrum on theory analysis under the conditions of limited cellular array of structures difference γ (resonates as 1/1.3 in Prague
ω0)；
Fig. 5 is the intrinsic loss for not considering metal, the transmission spectrum obtained by numerical simulation；
Fig. 6 is the intrinsic loss for considering metal, the transmission spectrum obtained by numerical simulation.
Embodiment
The present invention is further described for explanation and embodiment below in conjunction with the accompanying drawings.
The super transmission waveguide resonated based on polarization with Prague resonant interaction of the present invention, is periodically side-coupled resonance
Metal-dielectric-metal waveguide of chamber, by metal-dielectric-metal waveguide and the side-coupled resonant cavity of periodic arrangement
Chain is constituted, shown in periodic arrangement structural representation such as accompanying drawing 1 (a).Shown in its structure cell such as accompanying drawing 1 (b), the first metal bag
Layer 1, dielectric 2, the second clad 3 constitute metal-dielectric-metal waveguide, and the first resonant cavity 4, the second resonant cavity 5 are constituted
Side-coupled resonant cavity chain, the side-coupled resonant cavity chain is embedded in the first clad 1.Metal-dielectric-the metal
The periodic width of waveguide is 2L, and the central shaft distance of the resonant cavity 5 of the first resonant cavity 4 and second is L, described side-coupled common
The distance of chamber chain and dielectric 2 of shaking is d, and the thickness of the dielectric 2 is h, the resonant cavity 5 of the first resonant cavity 4 and second
Highly it is that l, width are h (i.e. along the length of central axis direction).
The present invention is introducing gain and loss in having the Wave guide system of polarization resonance and Prague resonant interaction
Constitute multiple dimensioned Wave guide system structure, the in-field of the structure cell of the waveguide-resonant cavity coupled system and scattered field and
The equivalent action figure of Energy movoment passage is as shown in Figure 2.Wherein S1(2)±Represent 1 (2) port positive (+) or reversely (-) passes
Defeated optical field amplitude, κ1It is resonant cavity and the stiffness of coupling of waveguide, γ1(2)Be first (the second) resonant cavity energy loss/gain because
Son, ω1(2)It is the eigenfrequency of first (the second) resonant cavity.
Each resonant cavity supports single polarization resonance mode ω in whole Wave guide system0, and do not have between polarization resonance
Directly act on, INDIRECT COUPLING can only be carried out by waveguide channels, and waveguide channels transmission causes Prague to be resonated.Due to gain and
Taking over for fissipation factor introduces lateral coupled resonator, and the structure cell of system expands to double resonator by single resonant cavity.
In order to theoretically obtain the band structure of waveguide-resonant cavity system, first have to obtain the biography of single structure cell
Defeated matrix, then in conjunction with the Bradley case theory of periodic structure, then the dispersion relation of the system is easy for drawing.And transmit square
The acquisition of battle array is then to be based on time domain coupled mode theory, passes through waveguide between coupling mode equations on each resonance interface and resonance interface
Phase place change caused by transmission, shown in the transmission formula matrix such as formula (1) of structure cell, wherein, M is transmission matrix, M11、M12、
M21、M22It is matrix M four elements：
Wherein θ=β L, β=k0neffIt is the propagation constant in waveguide, k0It is the propagation constant in vacuum, neffCorrespondence waveguide
In effective refractive index, for simplifying the analysis it is assumed here that neffKeep constant.In addition by parity-time symmetrical concept
Introduce gain and loss, then it may be assumed that γ1=-γ2=-γ (γ ＞ 0).θ=m π (m is integer) determine system
Prague is resonated, when Prague resonance is 1/1.3 ω0, shown in dispersion relation such as accompanying drawing 3 (a) and accompanying drawing 3 (b), wherein κ1=
0.03ω0.Different curves in accompanying drawing 3 (a) and accompanying drawing 3 (b) represent periodic system structure energy in Bloch space
Distribution, characterizes the bandgap structure of the periodic structure.Can significantly it be observed with γ from accompanying drawing 3 (a) and accompanying drawing 3 (b)
The increase of the factor, the dual Prague space of zero bandwidth starts degeneracy point occur on Brillouin zone boundary, and when γ reaches certain
After individual critical value, polarization space also begins to degeneracy point occur at the center in Brillouin region caused by polarization resonance.Work as γ
When continuing to increase, two degeneracy points start adjacent to each other, fusion, and disappear.By observing dispersion relation, especially degeneracy point
Develop, it can be seen that gain/loss has and its significant impact to the transmissison characteristic of the system.
Accompanying drawing 4 illustrates the system architecture of limit cycle in the case of single-ended excite, and is 1/1.3 to Prague resonance
ω0Transmission spectrum of the system under the conditions of different γ, can significantly observe that the appearance of degeneracy point greatly enhances system
Transmission spectrum, form super transmission effect.
Analyzed in theory above Prague resonance and polarization resonance interaction and gain and loss because
The modulation of sub- γ dispersion relations in parity-time balanced system, and form the condition of super transmission.Next metal-
Dielectric-metallic Wave guide system is based on surface phasmon, and carries out numerical simulation and checking using side-coupled resonant cavity.
Shown in the structure such as accompanying drawing 1 (b) of the system of the present invention, wherein h=50nm, d=25nm, l=284nm, L=
355nm.Clad metal is noble silver, and its relative dielectric constant is characterized with Drude models,Wherein ε∞=3.7, ωp=9.1eV, Γ=0.018eV.And the first and second resonance
Dielectric relative dielectric constant in chamber is respectively ε1=1+j εI, ε1=1-j εI.When the Inner for not considering metal reports the i.e. Γ of loss
When=0, the transmission spectrum of 8 cycle correspondence systems as shown in Figure 5, can significantly observe the ε in characteristicIUnder the conditions of value
There is super transmission phenomenon in system.And when consider system in clad metal silver absorption loss, transmission spectrum as shown in Figure 6,
In this case bigger ε is neededI, can equally to transmit very big enhancing, overcome in surface phasmon transmitting procedure
Absorption loss.
In summary, the present invention proposes a kind of super transmission waveguide resonated based on polarization with Prague resonant interaction, and
And by this wave guide applications into surface plasmon waveguide system, the elementary cell of the super transmission waveguide is by nanoscale
Metal-dielectric-metal waveguide and the side-coupled resonant cavity of periodic arrangement composition.Therefore this chain type structure of resonant cavity
Guided wave and band gap properties with similar photonic crystal, under the exciting of single-ended waveguide mode, by wave guide mode with it is side-coupled
Resonance mode is coupled, so as to modulate transmissison characteristic.Specifically, the working frequency of waveguiding structure can be by laterally resonating
The eigenfrequency regulation and control of chamber；Waveguide can integrally realize that filtering, transmission and super transmission form laser state.In addition, the present invention is also
Waveguide transmissison characteristic is modulated using the gain of resonant cavity, loss.The present invention is based on coupled mode theory and Bradley case theory,
With reference to polarization resonance and Prague Resonant Interaction, the dispersion relation of the super transmission waveguide is given.
Above content is to combine specific preferred embodiment further description made for the present invention, it is impossible to assert
The specific implementation of the present invention is confined to these explanations.For general technical staff of the technical field of the invention,
On the premise of not departing from present inventive concept, some simple deduction or replace can also be made, should all be considered as belonging to the present invention's
Protection domain.
Claims (5)
1. a kind of super transmission waveguide design method based on polarization resonance and Prague resonant interaction, it is characterised in that：The ripple
Lead and be made up of the side-coupled resonant cavity chain of metal-dielectric-metal waveguide and periodic arrangement, wherein, the first metal bag
Layer, dielectric, the second clad constitute metal-dielectric-metal waveguide, and the first resonant cavity, the second resonant cavity constitute lateral
Coupled resonator chain, the side-coupled resonant cavity chain is embedded in the first clad；Metal-dielectric-the metal waveguide
Periodic width be 2L, first resonant cavity and the second resonant cavity central shaft distance be L, the side-coupled resonant cavity chain
Distance with dielectric 2 is d；
1) the super transmission waveguide is operated in visible ray and infrared band, and duct width is 50 nanometer scales；
2) clad is noble metal；
3) overall dimension of the super transmission waveguide is much smaller than its operation wavelength, and the super transmission waveguide is deep sub-wavelength nano junction
Structure.
2. the super transmission waveguide design method according to right 1, it is characterised in that：The metal-dielectric-metal fluctuation
Surface plasma waveguide can produce local surface plasma resonance transmission mode under the exciting in outfield.
3. the super transmission waveguide design method according to right 1, it is characterised in that：Two side-coupled resonant cavity distances compared with
Far, it is impossible to occur direct-coupling, can only occur INDIRECT COUPLING by waveguide.
4. the super transmission waveguide design method according to right 1, it is characterised in that：Increasing is included by two lateral resonant cavities
Benefit, loss factor, transmission modulation is carried out to transmission mode.
5. the super transmission waveguide design method according to right 1, it is characterised in that：The precious metal material is silver.
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| CN201710424024.3A CN107102402B (en) | 2017-06-07 | 2017-06-07 | Super transmission waveguide design method based on polarization resonance and Prague resonant interaction |
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| CN201710424024.3A CN107102402B (en) | 2017-06-07 | 2017-06-07 | Super transmission waveguide design method based on polarization resonance and Prague resonant interaction |
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Cited By (3)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN108919392A (en) * | 2018-07-05 | 2018-11-30 | 鲁东大学 | A kind of linear type surface phasmon lens and its means of illumination |
| CN110212865A (en) * | 2019-05-28 | 2019-09-06 | 南京大学 | Programmable beam adjuster |
| CN110333568A (en) * | 2019-07-12 | 2019-10-15 | 金华伏安光电科技有限公司 | A kind of open-type MIM waveguiding structure |
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| US20070230870A1 (en) * | 2006-03-29 | 2007-10-04 | 3M Innovative Properties Company | Method of coupling light into microresonators |
| CN101373241A (en) * | 2007-08-21 | 2009-02-25 | 日立电线株式会社 | Optical waveguide type optical coupling arrangement |
| US20120019901A1 (en) * | 2010-07-23 | 2012-01-26 | Pinaki Mazumder | Dynamic Terahertz Switch Using Periodic Corrugated Structures |
| CN104597564A (en) * | 2015-01-16 | 2015-05-06 | 哈尔滨工业大学深圳研究生院 | Quasi-surface plasma combined type slit wave guide and application thereof |
| CN204422811U (en) * | 2015-02-04 | 2015-06-24 | 江南大学 | Based on the directed energizer of sub-wavelength slit body structure surface plasma |
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2017
- 2017-06-07 CN CN201710424024.3A patent/CN107102402B/en not_active Expired - Fee Related
Patent Citations (5)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| US20070230870A1 (en) * | 2006-03-29 | 2007-10-04 | 3M Innovative Properties Company | Method of coupling light into microresonators |
| CN101373241A (en) * | 2007-08-21 | 2009-02-25 | 日立电线株式会社 | Optical waveguide type optical coupling arrangement |
| US20120019901A1 (en) * | 2010-07-23 | 2012-01-26 | Pinaki Mazumder | Dynamic Terahertz Switch Using Periodic Corrugated Structures |
| CN104597564A (en) * | 2015-01-16 | 2015-05-06 | 哈尔滨工业大学深圳研究生院 | Quasi-surface plasma combined type slit wave guide and application thereof |
| CN204422811U (en) * | 2015-02-04 | 2015-06-24 | 江南大学 | Based on the directed energizer of sub-wavelength slit body structure surface plasma |
Cited By (5)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN108919392A (en) * | 2018-07-05 | 2018-11-30 | 鲁东大学 | A kind of linear type surface phasmon lens and its means of illumination |
| CN108919392B (en) * | 2018-07-05 | 2020-12-08 | 鲁东大学 | Linear surface plasmon lens and illumination method thereof |
| CN110212865A (en) * | 2019-05-28 | 2019-09-06 | 南京大学 | Programmable beam adjuster |
| CN110212865B (en) * | 2019-05-28 | 2020-12-01 | 南京大学 | Programmable beam adjuster |
| CN110333568A (en) * | 2019-07-12 | 2019-10-15 | 金华伏安光电科技有限公司 | A kind of open-type MIM waveguiding structure |
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| CN107102402B (en) | 2019-11-29 |
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Granted publication date: 20191129 |