CN113258240B - Nonlinear artificial SPP waveguide for parametric amplification of multi-frequency signal waves and calculation method - Google Patents
Nonlinear artificial SPP waveguide for parametric amplification of multi-frequency signal waves and calculation method Download PDFInfo
- Publication number
- CN113258240B CN113258240B CN202110543297.6A CN202110543297A CN113258240B CN 113258240 B CN113258240 B CN 113258240B CN 202110543297 A CN202110543297 A CN 202110543297A CN 113258240 B CN113258240 B CN 113258240B
- Authority
- CN
- China
- Prior art keywords
- wave
- artificial
- spp
- comb
- nonlinear
- Prior art date
- Legal status (The legal status is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the status listed.)
- Active
Links
Images
Classifications
-
- H—ELECTRICITY
- H01—ELECTRIC ELEMENTS
- H01P—WAVEGUIDES; RESONATORS, LINES, OR OTHER DEVICES OF THE WAVEGUIDE TYPE
- H01P3/00—Waveguides; Transmission lines of the waveguide type
- H01P3/10—Wire waveguides, i.e. with a single solid longitudinal conductor
-
- G—PHYSICS
- G02—OPTICS
- G02B—OPTICAL ELEMENTS, SYSTEMS OR APPARATUS
- G02B5/00—Optical elements other than lenses
- G02B5/008—Surface plasmon devices
Abstract
The invention provides a nonlinear artificial SPP waveguide for parametric amplification of multi-frequency signal waves and a calculation method. The invention introduces the variable capacitance diode into the artificial SPP waveguide, so that the waveguide not only has the characteristic of electric field enhancement but also has the characteristic of nonlinearity, and reconfigurable parametric amplification is realized by adjusting the voltage loaded on the variable capacitance diode.
Description
Technical Field
The invention relates to the technical field of artificial SPP waveguides, in particular to a nonlinear artificial SPP waveguide for parametric amplification of multi-frequency signal waves and a calculation method.
Background
With the development of communication technology, ultra-fast and ultra-compact interconnection lines are required for communication between integrated circuits and chips. Artificial Surface Plasmon Polariton (SPPs) transmission lines provide an effective way to achieve this goal. Due to the field enhancement effect of the artificial SPPs, the transmission line structure is researched, and compared with the traditional microstrip line, the microstrip line has the advantages of low bending loss, interference resistance, low crosstalk, miniaturization and the like. To further develop the application technology of artificial SPP in communication, amplification of signal waves in integrated circuit platforms is necessary. However, if the amplifier based on the MOS transistor is directly integrated into the artificial SPP interconnection line, it will cause the phase distortion of the SPP signal wave and also limit the operation speed of the SPP wave. In order to solve the phase distortion problem of SPP signal wave amplification, we introduce the concept of parametric amplification into a nonlinear artificial SPP structure.
Disclosure of Invention
The technical problem is as follows: in order to realize the amplification phenomenon of the dynamically adjustable artificial SPP signal wave, the invention provides a nonlinear artificial SPP waveguide for parametric amplification of the multi-frequency signal wave and a calculation method.
The technical scheme is as follows: the invention discloses a nonlinear artificial SPP waveguide for parametric amplification of multi-frequency signal waves, which comprises a dielectric substrate, an artificial SPP transmission line, a metal wire and a variable capacitance diode, wherein the artificial SPP transmission line and the metal wire are positioned on the surface of the dielectric substrate;
the artificial SPP transmission line is a comb-tooth-shaped metal structure and comprises comb teeth and comb tooth connecting lines, the comb teeth are located on the same side of the comb tooth connecting lines and are perpendicularly connected with the comb tooth connecting lines, the metal line is located on the other side of the comb tooth connecting lines and is correspondingly arranged with the intervals between the adjacent comb teeth, gaps exist between the metal line and the comb tooth connecting lines, one end of the metal line is connected with the comb tooth connecting lines through variable capacitance diodes, and the other end of the metal line is grounded through metallized through holes.
Further, the phase matching relationship between the pump wave, the signal wave and the idler wave is obtained by changing the capacitance value loaded between the metal wire and the comb tooth connecting wire, namely fp＝fs+fi,kp＝ks+kiWherein f isp，fs，fiRespectively corresponding to the frequencies of a pump wave, a signal wave and an idler wave; k is a radical ofp，ks，kiCorresponding to the phase constants of the pump wave, the signal wave, and the idler wave, respectively.
The calculation method is based on the nonlinear artificial SPP waveguide, and the capacitance values loaded between the metal wire and the comb tooth connecting wire are changed, so that the phase constants corresponding to the pump wave, the signal wave and the idler wave are matched, the amplification of the multi-frequency signal wave is excited, and the amplification gain G, the nonlinear length L and the pumping intensity I are matchedpThe numerical relationship between them is as follows,
where a and c are different attenuation coefficients, and b is k × IpIs a gain coefficient, k is a constant value, k ″)sN is a/c, which is an attenuation coefficient of the signal wave,
In(. and K)n(. cndot.) are the nth order Bessel correction functions of the first and second classes, respectively.
Has the advantages that: compared with the prior art, the invention has the advantages that:
1. the invention can realize the generation of parametric amplification only by loading an active device on the artificial SPP waveguide, has simple operation, saves space and is convenient for miniaturization.
2. The invention changes the dispersion characteristic of the artificial SPP waveguide by adjusting the capacitance value of the active device, realizes the phase matching of a plurality of signal waves under the condition of unchanged frequency of the pumping wave, and further realizes the reconfigurable parametric amplifier.
3. The invention solves the phase distortion problem of artificial SPP signal wave amplification.
4. The invention realizes reconfigurable parametric amplification generation by adjusting the bias voltage on the varactor diode under the condition of the same artificial SPP waveguide, and can be better applied to integrated circuits, communication systems and nonlinear SPP systems.
Drawings
Figure 1 is a partially enlarged schematic view of a nonlinear artificial SPP waveguide and its dispersion plot,
FIG. 1(a) is an enlarged partial schematic view of a loading varactor;
FIGS. 1(b) and 1(c) are dispersion curves for different capacitance values;
FIG. 2 is a graph of signal wave amplification gain produced by a nonlinear artificial SPP waveguide at different nonlinear lengths;
FIG. 2(a) is an amplification gain diagram of signal waves at different signal wave powers
FIG. 2(b) is an amplification gain diagram of a signal wave at different pump wave powers;
FIG. 2(c) is an amplification gain plot of signal wave as a function of nonlinear length at pump wave powers of 25dBm and 22 dBm;
FIG. 2(d) is the amplification gain of a signal wave at different pump wave powers of 20dBm and 15 dBm;
FIG. 3 is an amplification gain of a signal wave at different biases for phase matching;
fig. 4 is a schematic diagram of a nonlinear artificial SPP waveguide structure of the present invention.
Detailed Description
The technical solution of the present invention is described in detail below with reference to the accompanying drawings and specific embodiments.
The invention utilizes the field enhancement effect of the artificial SPPs, uses the introduced variable capacitance diode as a nonlinear device, and further realizes the parameter amplification phenomenon of a reconfigurable signal wave by adjusting the bias voltage loaded on the variable capacitance diode.
The nonlinear artificial SPP waveguide of the present invention is shown in fig. 4 and 1 (a). A nonlinear artificial SPP waveguide for parametric amplification of multi-frequency signal waves comprises a dielectric substrate, an artificial SPP transmission line, a metal wire and a variable capacitance diode, wherein the artificial SPP transmission line is positioned on the surface of the dielectric substrate, and the variable capacitance diode is connected between the artificial SPP transmission line and the metal wire.
The artificial SPP transmission line is a comb-tooth-shaped metal structure and comprises comb teeth and comb tooth connecting lines, the comb teeth are located on the same side of the comb tooth connecting lines and are perpendicularly connected with the comb tooth connecting lines, the metal line is located on the other side of the comb tooth connecting lines and corresponds to the interval between adjacent comb teeth, gaps exist between the metal line and the comb tooth connecting lines, one end of the metal line is connected with the comb tooth connecting lines through variable capacitance diodes, and the other end of the metal line is grounded through metallized through holes.
As shown in fig. 1a, under the condition that the parameters of the artificial SPP transmission line and the metal line are not changed, the dispersion characteristic of the artificial SPP waveguide is determined by the capacitance value of the varactor diode, and therefore, the parametric amplification of the multi-frequency signal wave can be realized, as shown in fig. 1 a.
Through the design of the SPP structure, the phase matching relation between the pump wave, the signal wave and the idler wave, namely f, is obtained by changing the capacitance value loaded between the metal wire and the comb tooth connecting wirep＝fs+fi,kp＝ks+kiWherein f isp，fs，fiRespectively corresponding to the frequencies of a pump wave, a signal wave and an idler wave; k is a radical ofp，ks，kiCorresponding to the phase constants of the pump wave, the signal wave, and the idler wave, respectively.
In this embodiment, parameters of the artificial SPP transmission line are p ═ 4mm, a ═ 2mm, and w ═ 1.5mm, a gap s between the comb teeth connection line and the metal line is 0.3mm, a length b of the metal line is 4.95mm, a distance d between the metal via and one end of the metal line is 0.5mm, and a dielectric of the dielectric substrate Rogers 4003C is usedThe constant was 3.55, the thickness was 0.508mm, and the loss tangent angle was 0.0027. The dispersion curves obtained by intrinsic simulation using commercial software CST are shown in fig. 1(b) and 1(c), and by changing the capacitance of the varactor, a reconfigurable phase matching relationship can be achieved. When the capacitance c of the varactor is 0.7pF, the phase matching condition is kp＝401.4m-1(fp＝5.19GHz),ks＝298.9m-1(fp＝3.69GHz),ki＝102.5m-1(fi1.5 GHz); when the capacitance value of the varactor is changed and c is 1.05pF, the phase matching condition is kp＝434.15m-1(fp＝5.19GHz),ks＝268.78m-1(fp＝3.07GHz),ki＝165.37m-1(fi＝2.12GHz)。
As shown in fig. 2, based on the field enhancement characteristic of the artificial SPP and the introduced nonlinear varactor device, by adjusting the voltage applied to the varactor diode, the nonlinear artificial SPP waveguide for parametric amplification of multi-frequency signal waves can excite the amplification of multi-frequency signal waves under the condition that the corresponding phase constants of the pump wave, the signal wave and the idler wave satisfy the phase matching, and the amplification gain G, the nonlinear length L and the pump intensity I thereofpThe numerical relationship between them is as follows,
where a and c are different attenuation coefficients, and b is k × IpIs a gain coefficient, k is a constant value, k ″)sN is a/c, which is an attenuation coefficient of the signal wave,
In(. and K)n(. cndot.) are the nth order Bessel correction functions of the first and second classes, respectively.
As shown in fig. 2(a), when the signal power is relatively small, the amplification gain is a constant value according to the variation of the input signal wave power. As shown in fig. 2(b), the signal gain gradually increases as the pump power increases. However, when the nonlinear length reaches a certain value, the signal gain will not show an ascending trend any more, but gradually starts to decline from the highest point, as shown in fig. 2(c) and fig. 2 (d).
When the bias voltage on the varactor loaded on the artificial SPP waveguide is changed, parametric amplification of the reconfigurable signal wave can be achieved, as shown in fig. 3.
Claims (3)
1. A nonlinear artificial SPP waveguide for parametric amplification of multi-frequency signal waves is characterized by comprising a dielectric substrate, an artificial SPP transmission line, a metal wire and a variable capacitance diode, wherein the artificial SPP transmission line is positioned on the surface of the dielectric substrate;
the artificial SPP transmission line is a comb-tooth-shaped metal structure and comprises comb teeth and comb tooth connecting lines, the comb teeth are located on the same side of the comb tooth connecting lines and are perpendicularly connected with the comb tooth connecting lines, the metal line is located on the other side of the comb tooth connecting lines and is correspondingly arranged with the intervals between the adjacent comb teeth, gaps exist between the metal line and the comb tooth connecting lines, one end of the metal line is connected with the comb tooth connecting lines through variable capacitance diodes, and the other end of the metal line is grounded through metallized through holes.
2. The nonlinear artificial SPP waveguide of claim 1, wherein the phase matching relationship between the pump wave, the signal wave and the idler wave, i.e. f, is obtained by varying the capacitance value applied between the metal wire and the comb-teeth connecting wirep＝fs+fi,kp＝ks+kiWherein f isp，fs，fiRespectively corresponding to the frequencies of a pump wave, a signal wave and an idler wave; k is a radical ofp，ks，kiCorresponding to the phase constants of the pump wave, the signal wave, and the idler wave, respectively.
3. A method for calculating parametric amplification of multi-frequency signal waves, wherein the method is based on the nonlinear artificial SPP waveguide of claim 1 or 2, and the capacitance value loaded between the metal wire and the comb-teeth connecting wire is changed to make the method suitable for the multi-frequency signal wavesThe pump wave, the signal wave and the idler wave are matched with each other in their corresponding phase constants to excite the amplification of the multi-frequency signal wave, and its amplification gain G is matched with the nonlinear length L and the pumping intensity IpThe numerical relationship between them is as follows,
where a and c are different attenuation coefficients, and b is k × IpIs a gain coefficient, k is a constant value, ks"is the attenuation coefficient of the signal wave,
In(. and K)n(. cndot.) are the nth order Bessel correction functions of the first and second classes, respectively.
Priority Applications (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN202110543297.6A CN113258240B (en) | 2021-05-19 | 2021-05-19 | Nonlinear artificial SPP waveguide for parametric amplification of multi-frequency signal waves and calculation method |
Applications Claiming Priority (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN202110543297.6A CN113258240B (en) | 2021-05-19 | 2021-05-19 | Nonlinear artificial SPP waveguide for parametric amplification of multi-frequency signal waves and calculation method |
Publications (2)
| Publication Number | Publication Date |
|---|---|
| CN113258240A CN113258240A (en) | 2021-08-13 |
| CN113258240B true CN113258240B (en) | 2021-12-28 |
Family
ID=77183391
Family Applications (1)
| Application Number | Title | Priority Date | Filing Date |
|---|---|---|---|
| CN202110543297.6A Active CN113258240B (en) | 2021-05-19 | 2021-05-19 | Nonlinear artificial SPP waveguide for parametric amplification of multi-frequency signal waves and calculation method |
Country Status (1)
| Country | Link |
|---|---|
| CN (1) | CN113258240B (en) |
Families Citing this family (1)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN114361750B (en) * | 2022-01-18 | 2023-06-23 | 东南大学 | Non-magnetic artificial SPP isolator based on parametric amplification |
Family Cites Families (9)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| US7538946B2 (en) * | 2004-07-23 | 2009-05-26 | The Regents Of The University Of California | Metamaterials |
| ATE465112T1 (en) * | 2007-02-28 | 2010-05-15 | Applied Materials Inc | NETWORK MANAGEMENT CONTROLLER, NETWORK PROCESSING DEVICE AND OPERATING METHOD THEREOF |
| CN101957534B (en) * | 2010-09-02 | 2012-05-23 | 上海交通大学 | Ultra wide band photo-parametric amplifier based on silicone based surface plasma wave guide |
| CN104810579A (en) * | 2015-05-12 | 2015-07-29 | 中国矿业大学 | Tunable bandstop filter based on artificial surface plasmon |
| CN106450625B (en) * | 2016-10-10 | 2019-07-26 | 东南大学 | A kind of artificial surface phasmon wave regulation device of Programmable Design |
| EP3574351B1 (en) * | 2017-01-30 | 2023-08-09 | Xfold Imaging Oy | A plasmonic device |
| CN107275733A (en) * | 2017-06-05 | 2017-10-20 | 东南大学 | A kind of adjustable slow wave transmission line of cycle loading capacitance and short-circuit line |
| WO2019114668A1 (en) * | 2017-12-14 | 2019-06-20 | 广州华睿光电材料有限公司 | Transition metal complex material and application thereof in electronic devices |
| CN113534307B (en) * | 2021-07-19 | 2023-04-07 | 山西大同大学 | Electric control resonance coupled artificial surface plasmon cascade slow light device |
-
2021
- 2021-05-19 CN CN202110543297.6A patent/CN113258240B/en active Active
Also Published As
| Publication number | Publication date |
|---|---|
| CN113258240A (en) | 2021-08-13 |
Similar Documents
| Publication | Publication Date | Title |
|---|---|---|
| CN113258240B (en) | Nonlinear artificial SPP waveguide for parametric amplification of multi-frequency signal waves and calculation method | |
| US7183882B2 (en) | Microstrip band pass filter using end-coupled SIRs | |
| CN110460310B (en) | Ultra-wideband high-harmonic suppression terahertz frequency multiplier | |
| JP4601807B2 (en) | High frequency power amplifier | |
| JP2016126054A (en) | Optical modulator | |
| Lewark et al. | 255 to 330 GHz active frequency tripler MMIC | |
| CN113572431A (en) | Terahertz solid-state fundamental wave mixer circuit | |
| US6621347B2 (en) | RF power amplifier | |
| US4752750A (en) | Hybrid programmable transversal filter | |
| KR102055727B1 (en) | A wideband amplifier based on dual-peak and a computing apparatus for physical property of transmission line in wideband amplifier based on dual-peak | |
| CN108768303B (en) | Application of molybdenum disulfide in manufacturing odd harmonic microwave frequency multiplier | |
| EP2117070B1 (en) | Microwave device, high frequency device and high frequency apparatus | |
| CN114665823A (en) | Return-wave terahertz frequency tripling circuit structure | |
| CN1290423A (en) | Microwave amplifier | |
| CN112838833A (en) | F-type power amplifier based on hairpin type microstrip band-pass filter and design method | |
| US20030006846A1 (en) | Broad-band biasing system for biasing an electronic circuit and an amplifier incorporating the system | |
| RU2332780C1 (en) | Superhigh frequency wide band random signal generator | |
| CN110113015B (en) | Grid biasing circuit and power amplifier | |
| Li et al. | A novel design of millimeter-wave attenuators using periodic series structures | |
| Shi et al. | Theory and design of a tapered line distributed photodetector | |
| Lasaosa et al. | Modeling of traveling-wave amplification photodetectors (TAP detectors) | |
| JP3778551B2 (en) | Microwave phase shifter | |
| JP2002164752A (en) | Power amplifier for high frequency | |
| JP3641129B2 (en) | Light modulator | |
| JP3239720B2 (en) | Microwave attenuator |
Legal Events
| Date | Code | Title | Description |
|---|---|---|---|
| PB01 | Publication | ||
| PB01 | Publication | ||
| SE01 | Entry into force of request for substantive examination | ||
| SE01 | Entry into force of request for substantive examination | ||
| GR01 | Patent grant | ||
| GR01 | Patent grant |