lub ntsiab

Kev Tshuaj Xyuas Antenna: Kev Tshuaj Xyuas Fractal Metasurfaces thiab Antenna Design

I. Kev Taw Qhia
Cov khoom siv lej (fractals) yog cov khoom siv lej uas muaj cov yam ntxwv zoo sib xws ntawm ntau qhov ntsuas sib txawv. Qhov no txhais tau tias thaum koj zoom rau hauv/tawm ntawm ib daim duab fractal, txhua qhov ntawm nws cov khoom zoo sib xws rau tag nrho; uas yog, cov qauv geometric zoo sib xws lossis cov qauv rov ua dua ntawm ntau qib magnification sib txawv (saib cov piv txwv fractal hauv Daim Duab 1). Feem ntau cov fractals muaj cov duab sib txawv, ntxaws ntxaws, thiab nyuaj heev.

Piv txwv Fractal

daim duab 1

Lub tswv yim ntawm fractals tau qhia los ntawm tus kws lej Benoit B. Mandelbrot hauv xyoo 1970, txawm hais tias keeb kwm ntawm fractal geometry tuaj yeem taug qab mus rau cov haujlwm ua ntej ntawm ntau tus kws lej, xws li Cantor (1870), von Koch (1904), Sierpinski (1915), Julia (1918), Fatou (1926), thiab Richardson (1953).
Benoit B. Mandelbrot tau kawm txog kev sib raug zoo ntawm fractals thiab xwm los ntawm kev qhia txog cov hom fractals tshiab los ua qauv rau cov qauv nyuaj dua, xws li ntoo, roob, thiab ntug dej hiav txwv. Nws tau hais lo lus "fractal" los ntawm Latin adjective "fractus", txhais tau tias "tawg" lossis "fractured", piv txwv li muaj cov khoom tawg lossis tsis sib xws, los piav qhia txog cov duab geometric tsis sib xws thiab tawg uas tsis tuaj yeem faib los ntawm Euclidean geometry ib txwm muaj. Tsis tas li ntawd, nws tau tsim cov qauv lej thiab cov algorithms rau kev tsim thiab kawm fractals, uas ua rau muaj kev tsim cov Mandelbrot teeb tsa nto moo, uas yog qhov nto moo tshaj plaws thiab pom kev zoo nkauj fractal duab nrog cov qauv nyuaj thiab rov ua dua tsis kawg (saib Daim Duab 1d).
Mandelbrot txoj haujlwm tsis yog tsuas yog muaj kev cuam tshuam rau kev suav lej xwb, tab sis kuj muaj kev siv rau ntau yam xws li physics, computer graphics, biology, economics, thiab art. Qhov tseeb, vim lawv muaj peev xwm los ua qauv thiab sawv cev rau cov qauv nyuaj thiab zoo sib xws, fractals muaj ntau daim ntawv thov tshiab hauv ntau yam. Piv txwv li, lawv tau siv dav hauv cov chaw thov hauv qab no, uas tsuas yog ob peb qhov piv txwv ntawm lawv daim ntawv thov dav:
1. Cov duab kos hauv computer thiab cov yeeb yaj kiab, tsim cov toj roob hauv pes ntuj, ntoo, huab, thiab cov qauv zoo nkauj thiab pom tseeb;
2. Kev siv tshuab compression los txo qhov loj ntawm cov ntaub ntawv digital;
3. Kev ua cov duab thiab cov teeb liab, rho tawm cov yam ntxwv ntawm cov duab, nrhiav cov qauv, thiab muab cov txheej txheem nias thiab rov tsim cov duab zoo;
4. Kev kawm txog tsiaj txhu, piav qhia txog kev loj hlob ntawm cov nroj tsuag thiab kev teeb tsa cov neurons hauv lub hlwb;
5. Kev tshawb fawb txog Antenna thiab cov khoom siv metamaterials, tsim cov antennas compact/multi-band thiab cov metasurfaces tshiab.
Tam sim no, fractal geometry tseem niaj hnub nrhiav kev siv tshiab thiab tshiab hauv ntau yam kev tshawb fawb, kev kos duab thiab kev siv tshuab.
Hauv kev siv tshuab electromagnetic (EM), cov duab fractal muaj txiaj ntsig zoo rau cov ntawv thov uas xav tau miniaturization, los ntawm antennas mus rau metamaterials thiab zaus xaiv qhov chaw (FSS). Kev siv fractal geometry hauv cov antennas ib txwm muaj tuaj yeem ua rau lawv qhov ntev hluav taws xob nce ntxiv, yog li txo qhov loj me ntawm cov qauv resonant. Tsis tas li ntawd, qhov xwm txheej zoo sib xws ntawm cov duab fractal ua rau lawv zoo tagnrho rau kev paub txog ntau-band lossis broadband resonant qauv. Lub peev xwm miniaturization ntawm fractals yog qhov tshwj xeeb tshaj yog rau kev tsim cov reflectarrays, phased array antennas, metamaterial absorbers thiab metasurfaces rau ntau yam kev siv. Qhov tseeb, kev siv cov ntsiab lus array me me tuaj yeem coj ntau yam zoo, xws li txo kev sib koom ua ke lossis muaj peev xwm ua haujlwm nrog arrays nrog qhov sib nrug me me, yog li ua kom muaj kev ua haujlwm zoo scanning thiab qib siab dua ntawm kev ruaj khov angular.
Vim yog cov laj thawj uas tau hais los saum toj no, fractal antennas thiab metasurfaces sawv cev rau ob qhov chaw tshawb fawb zoo heev hauv kev tshawb fawb txog electromagnetics uas tau nyiam ntau qhov kev saib xyuas hauv xyoo tas los no. Ob lub tswv yim no muab cov txoj hauv kev tshwj xeeb los tswj thiab tswj cov nthwv dej electromagnetic, nrog rau ntau yam kev siv hauv kev sib txuas lus wireless, radar systems thiab sensing. Lawv cov khoom zoo sib xws tso cai rau lawv kom me me thaum tswj hwm cov lus teb electromagnetic zoo heev. Qhov compactness no yog qhov tshwj xeeb tshaj yog nyob rau hauv qhov chaw-txwv daim ntawv thov, xws li cov khoom siv mobile, RFID tags, thiab aerospace systems.
Kev siv cov fractal antennas thiab metasurfaces muaj peev xwm los txhim kho kev sib txuas lus wireless, kev thaij duab, thiab radar systems, vim lawv ua rau cov khoom siv compact, high-performance nrog kev ua haujlwm zoo dua. Tsis tas li ntawd, fractal geometry tau siv ntau dua hauv kev tsim cov microwave sensors rau kev kuaj mob khoom siv, vim nws muaj peev xwm ua haujlwm hauv ntau zaus bands thiab nws muaj peev xwm miniaturized. Kev tshawb fawb txuas ntxiv mus hauv cov cheeb tsam no txuas ntxiv tshawb nrhiav cov qauv tsim tshiab, cov ntaub ntawv, thiab cov txheej txheem tsim khoom kom paub txog lawv lub peev xwm tag nrho.
Daim ntawv no lub hom phiaj yog los tshuaj xyuas kev tshawb fawb thiab kev nce qib ntawm kev siv cov fractal antennas thiab metasurfaces thiab piv rau cov fractal-based antennas thiab metasurfaces uas twb muaj lawm, qhia txog lawv cov txiaj ntsig thiab kev txwv. Thaum kawg, kev tshuaj xyuas dav dav ntawm cov reflectarrays tshiab thiab metamaterial units tau nthuav tawm, thiab cov teeb meem thiab kev txhim kho yav tom ntej ntawm cov qauv electromagnetic no tau tham txog.

2. FractalKav hlau txais xovCov ntsiab lus
Lub tswv yim dav dav ntawm fractals tuaj yeem siv los tsim cov khoom siv antenna txawv txawv uas muab kev ua tau zoo dua li cov antennas ib txwm muaj. Cov khoom siv antenna fractal tej zaum yuav me me thiab muaj peev xwm ntau band thiab / lossis broadband.
Tus qauv tsim ntawm fractal antennas cuam tshuam nrog kev rov ua dua cov qauv geometric tshwj xeeb ntawm ntau qhov ntsuas hauv cov qauv antenna. Tus qauv zoo sib xws no tso cai rau peb kom nce qhov ntev tag nrho ntawm lub antenna hauv qhov chaw txwv. Tsis tas li ntawd, fractal radiators tuaj yeem ua tiav ntau txoj kab vim tias ntau qhov ntawm lub antenna zoo sib xws ntawm ntau qhov ntsuas. Yog li ntawd, cov ntsiab lus fractal antenna tuaj yeem ua kom me me thiab ntau txoj kab, muab kev pabcuam zaus dav dua li cov antennas ib txwm muaj.
Lub tswv yim ntawm fractal antennas tuaj yeem taug qab rov qab mus rau xyoo 1980s. Xyoo 1986, Kim thiab Jaggard tau ua qauv qhia txog kev siv fractal tus kheej-zoo sib xws hauv kev tsim cov antenna array.
Xyoo 1988, tus kws tshawb fawb txog lub cev Nathan Cohen tau tsim lub ntiaj teb thawj lub kav hlau txais xov fractal element. Nws tau hais tias los ntawm kev koom ua ke cov qauv geometry zoo sib xws rau hauv cov qauv kav hlau txais xov, nws cov kev ua tau zoo thiab kev ua kom me me tuaj yeem txhim kho. Xyoo 1995, Cohen tau koom ua ke tsim Fractal Antenna Systems Inc., uas tau pib muab cov kev daws teeb meem kav hlau txais xov fractal thawj zaug hauv ntiaj teb.
Nyob rau nruab nrab xyoo 1990, Puente et al. tau ua qauv qhia txog ntau lub peev xwm ntawm fractals siv Sierpinski's monopole thiab dipole.
Txij li thaum Cohen thiab Puente ua haujlwm, qhov zoo ntawm cov fractal antennas tau nyiam cov kws tshawb fawb thiab cov engineers hauv kev sib txuas lus, ua rau muaj kev tshawb nrhiav ntxiv thiab kev txhim kho ntawm cov thev naus laus zis fractal antenna.
Niaj hnub nim no, cov kav hlau txais xov fractal tau siv dav hauv cov kab ke sib txuas lus wireless, suav nrog cov xov tooj ntawm tes, Wi-Fi routers, thiab kev sib txuas lus satellite. Qhov tseeb, cov kav hlau txais xov fractal yog me me, ntau band, thiab ua haujlwm tau zoo, ua rau lawv haum rau ntau yam khoom siv wireless thiab networks.
Cov duab hauv qab no qhia txog qee cov antennas fractal raws li cov duab fractal paub zoo, uas tsuas yog ob peb qho piv txwv ntawm ntau yam kev teeb tsa sib tham hauv cov ntaub ntawv.
Tshwj xeeb, Daim Duab 2a qhia txog Sierpinski monopole uas tau hais hauv Puente, uas muaj peev xwm muab kev ua haujlwm ntau-band. Lub Sierpinski triangle yog tsim los ntawm kev rho tawm lub central inverted triangle ntawm lub main triangle, raws li pom hauv Daim Duab 1b thiab Daim Duab 2a. Cov txheej txheem no tawm peb lub quag sib npaug ntawm cov qauv, txhua tus muaj ib sab ntev ntawm ib nrab ntawm lub quag pib (saib Daim Duab 1b). Cov txheej txheem rho tawm tib yam tuaj yeem rov ua dua rau cov quag seem. Yog li ntawd, txhua qhov ntawm nws peb qhov tseem ceeb yog sib npaug rau tag nrho cov khoom, tab sis nyob rau hauv ob npaug ntawm qhov sib piv, thiab lwm yam. Vim yog cov kev zoo sib xws tshwj xeeb no, Sierpinski tuaj yeem muab ntau zaus bands vim tias qhov sib txawv ntawm lub antenna zoo sib xws rau ib leeg ntawm cov nplai sib txawv. Raws li pom hauv Daim Duab 2, Sierpinski monopole uas tau hais ua haujlwm hauv 5 bands. Nws tuaj yeem pom tias txhua qhov ntawm tsib lub sub-gaskets (cov qauv voj voog) hauv Daim Duab 2a yog qhov scaled version ntawm tag nrho cov qauv, yog li muab tsib qhov sib txawv zaus ua haujlwm bands, raws li pom hauv cov coefficient input reflection hauv Daim Duab 2b. Daim duab kuj qhia txog cov kev ntsuas uas cuam tshuam nrog txhua qhov zaus, suav nrog tus nqi zaus fn (1 ≤ n ≤ 5) ntawm tus nqi tsawg kawg nkaus ntawm qhov ntsuas rov qab poob (Lr), qhov bandwidth sib piv (Bwidth), thiab qhov sib piv zaus ntawm ob qhov zaus sib ze (δ = fn +1/fn). Daim duab 2b qhia tau hais tias cov kab ntawm Sierpinski monopoles yog logarithmically periodically spaced los ntawm ib qho ntawm 2 (δ ≅ 2), uas sib raug rau tib qho scaling factor uas muaj nyob rau hauv cov qauv zoo sib xws hauv fractal duab.

2

daim duab 2

Daim Duab 3a qhia txog lub kav hlau txais xov hlau me me uas siv cov duab fractal ntawm Koch. Lub kav hlau txais xov hlau no yog tsim los qhia txog yuav ua li cas siv cov khoom siv ntawm cov duab fractal los tsim cov kav hlau txais xov hlau me me. Qhov tseeb, kev txo qhov loj ntawm cov kav hlau txais xov hlau yog lub hom phiaj kawg ntawm ntau daim ntawv thov, tshwj xeeb tshaj yog cov uas muaj cov chaw nres tsheb mobile. Lub Koch monopole yog tsim los ntawm kev siv txoj kev tsim kho fractal uas tau pom hauv Daim Duab 3a. Qhov rov ua dua thawj zaug K0 yog ib qho monopole ncaj. Qhov rov ua dua tom ntej K1 tau txais los ntawm kev siv kev hloov pauv zoo sib xws rau K0, suav nrog kev ntsuas los ntawm ib feem peb thiab tig los ntawm 0 °, 60 °, −60 °, thiab 0 °, raws li. Cov txheej txheem no rov ua dua kom tau txais cov ntsiab lus tom ntej Ki (2 ≤ i ≤ 5). Daim Duab 3a qhia txog tsib-iteration version ntawm Koch monopole (piv txwv li, K5) nrog qhov siab h sib npaug rau 6 cm, tab sis tag nrho qhov ntev yog muab los ntawm cov mis l = h ·(4/3) 5 = 25.3 cm. Tsib lub antennas sib raug rau thawj tsib qhov rov ua dua ntawm Koch nkhaus tau ua tiav lawm (saib Daim Duab 3a). Ob qho kev sim thiab cov ntaub ntawv qhia tau tias Koch fractal monopole tuaj yeem txhim kho kev ua tau zoo ntawm cov monopole ib txwm muaj (saib Daim Duab 3b). Qhov no qhia tau tias nws yuav ua tau "miniaturize" fractal antennas, tso cai rau lawv kom haum rau hauv cov ntim me dua thaum tswj kev ua tau zoo.

3

daim duab 3

Daim Duab 4a qhia txog lub kav hlau txais xov fractal raws li Cantor teeb, uas yog siv los tsim lub kav hlau txais xov dav dav rau kev siv hluav taws xob. Cov yam ntxwv tshwj xeeb ntawm cov kav hlau txais xov fractal uas qhia txog ntau lub suab sib ze yog siv los muab cov bandwidth dav dua li cov kav hlau txais xov ib txwm muaj. Raws li pom hauv Daim Duab 1a, kev tsim ntawm Cantor fractal teeb yog yooj yim heev: thawj kab ncaj nraim raug theej thiab faib ua peb ntu sib npaug, uas qhov ntu nruab nrab raug tshem tawm; tib cov txheej txheem tom qab ntawd rov ua dua rau cov ntu tshiab tsim. Cov kauj ruam fractal iteration rov ua dua kom txog thaum lub kav hlau txais xov bandwidth (BW) ntawm 0.8–2.2 GHz tau ua tiav (piv txwv li, 98% BW). Daim Duab 4 qhia txog daim duab ntawm tus qauv kav hlau txais xov uas tau pom (Daim Duab 4a) thiab nws cov coefficient reflection input (Daim Duab 4b).

4

daim duab 4

Daim Duab 5 muab ntau piv txwv ntawm cov antennas fractal, suav nrog Hilbert curve-based monopole antenna, Mandelbrot-based microstrip patch antenna, thiab Koch island (lossis "snowflake") fractal patch.

5

daim duab 5

Thaum kawg, Daim Duab 6 qhia txog kev npaj sib txawv ntawm cov ntsiab lus ntawm array, suav nrog Sierpinski carpet planar arrays, Cantor ring arrays, Cantor linear arrays, thiab fractal trees. Cov kev npaj no muaj txiaj ntsig zoo rau kev tsim cov arrays sparse thiab/lossis ua tiav ntau-band kev ua tau zoo.

6

daim duab 6

Yog xav paub ntxiv txog antennas, thov mus saib:


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