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Loiloi Antenna: He Loiloi o nā Metasurfaces Fractal a me ka Hoʻolālā Antenna

I. Hoʻolauna
He mau mea makemakika nā Fractals e hōʻike ana i nā waiwai like ponoʻī ma nā unahi like ʻole. ʻO ke ʻano kēia, ke hoʻokokoke aku ʻoe i loko/i waho i kahi ʻano fractal, ua like loa kēlā me kēia ʻāpana me ka holoʻokoʻa; ʻo ia hoʻi, hana hou ʻia nā ʻano geometric like a i ʻole nā ​​​​​​hale ma nā pae hoʻonui like ʻole (e nānā i nā hiʻohiʻona fractal ma ke Kiʻi 1). ʻO ka hapa nui o nā fractals he mau ʻano paʻakikī, kikoʻī, a paʻakikī loa.

Laʻana Fractal

kiʻi 1

Ua hoʻolauna ʻia ke kumumanaʻo o nā fractals e ka makemakika ʻo Benoit B. Mandelbrot i nā makahiki 1970, ʻoiai hiki ke hoʻihoʻi ʻia ke kumu o ke geometry fractal i ka hana mua a nā makemakika he nui, e like me Cantor (1870), von Koch (1904), Sierpinski (1915), Julia (1918), Fatou (1926), a me Richardson (1953).
Ua aʻo ʻo Benoit B. Mandelbrot i ka pilina ma waena o nā fractals a me ke ʻano ma o ka hoʻolauna ʻana i nā ʻano fractals hou e hoʻohālike i nā ʻano paʻakikī, e like me nā lāʻau, nā mauna, a me nā kahakai. Ua hoʻokumu ʻo ia i ka huaʻōlelo "fractal" mai ka huaʻōlelo Latina "fractus", ʻo ia hoʻi "haʻihaʻi" a i ʻole "haʻihaʻi ʻia", ʻo ia hoʻi i haku ʻia me nā ʻāpana haʻihaʻi a ʻano ʻole paha, e wehewehe i nā ʻano geometric ʻano ʻole a ʻāpana ʻaʻole hiki ke hoʻokaʻawale ʻia e ke geometry Euclidean kuʻuna. Eia kekahi, ua hoʻomohala ʻo ia i nā hiʻohiʻona makemakika a me nā algorithms no ka hana ʻana a me ke aʻo ʻana i nā fractals, kahi i alakaʻi ai i ka hoʻokumu ʻana o ka set Mandelbrot kaulana, ʻo ia paha ke ʻano fractal kaulana loa a hoihoi i ka ʻike me nā ʻano paʻakikī a me nā hana hou ʻole (e nānā i ke Kiʻi 1d).
ʻAʻole wale ka hopena o ka hana a Mandelbrot i ka makemakika, akā he mau noi nō hoʻi ma nā ʻano like ʻole e like me ke kino, nā kiʻi kamepiula, ka biology, ka hoʻokele waiwai, a me ke kiʻi. ʻO ka ʻoiaʻiʻo, ma muli o ko lākou hiki ke hoʻohālike a hōʻike i nā ʻano paʻakikī a like ponoʻī, he nui nā noi hou o nā fractals ma nā ʻano like ʻole. No ka laʻana, ua hoʻohana nui ʻia lākou ma nā wahi noi aʻe, ʻo ia kekahi mau laʻana o kā lākou noi ākea:
1. Nā kiʻi kamepiula a me ka animation, e hana ana i nā ʻāina kūlohelohe, nā lāʻau, nā ao, a me nā ʻano i ʻike maoli ʻia a nani hoʻi;
2. ʻEnehana hoʻopili ʻikepili e hōʻemi i ka nui o nā faila kikohoʻe;
3. Ka hana ʻana i nā kiʻi a me nā hōʻailona, ​​ka unuhi ʻana i nā hiʻohiʻona mai nā kiʻi, ka ʻike ʻana i nā ʻano, a me ka hāʻawi ʻana i nā ʻano hoʻopili kiʻi a me ke kūkulu hou ʻana;
4. Biology, e wehewehe ana i ka ulu ʻana o nā mea kanu a me ka hoʻonohonoho ʻana o nā neurons i loko o ka lolo;
5. Ke kumumanaʻo antenna a me nā metamaterials, ka hoʻolālā ʻana i nā antennas compact/multi-band a me nā metasurfaces hou.
I kēia manawa, ke hoʻomau nei ke ʻano hana fractal i nā hoʻohana hou a me nā hana hou i nā ʻano ʻepekema like ʻole, nā hana noʻeau a me nā ʻenehana.
I loko o ka ʻenehana electromagnetic (EM), he mea pono loa nā ʻano fractal no nā noi e pono ai ka miniaturization, mai nā antennas a i nā metamaterials a me nā ʻili koho alapine (FSS). ʻO ka hoʻohana ʻana i ke geometry fractal i nā antennas maʻamau hiki ke hoʻonui i ko lākou lōʻihi uila, a laila e hōʻemi ana i ka nui holoʻokoʻa o ka ʻano resonant. Eia kekahi, ʻo ke ʻano like ponoʻī o nā ʻano fractal e hoʻolilo iā lākou i mea kūpono no ka hoʻokō ʻana i nā ʻano resonant multi-band a i ʻole broadband. ʻO nā hiki miniaturization kūlohelohe o nā fractals he mea hoihoi loa ia no ka hoʻolālā ʻana i nā reflectarrays, nā antennas array phased, nā mea hoʻomoʻa metamaterial a me nā metasurfaces no nā noi like ʻole. ʻO ka ʻoiaʻiʻo, ʻo ka hoʻohana ʻana i nā mea array liʻiliʻi loa hiki ke lawe mai i kekahi mau pono, e like me ka hōʻemi ʻana i ka hui pū ʻana a i ʻole ka hiki ke hana me nā arrays me ka spacing element liʻiliʻi loa, no laila e hōʻoiaʻiʻo ana i ka hana scan maikaʻi a me nā pae kiʻekiʻe o ke kūpaʻa angular.
No nā kumu i ʻōlelo ʻia ma luna, ʻo nā antenna fractal a me nā metasurfaces e hōʻike ana i ʻelua mau wahi noiʻi hoihoi i ke kahua o nā electromagnetics i huki nui i ka nānā ʻana i nā makahiki i hala iho nei. Hāʻawi nā manaʻo ʻelua i nā ala kūikawā e hoʻoponopono a kāohi i nā nalu electromagnetic, me kahi ākea o nā noi i nā kamaʻilio uea ʻole, nā ʻōnaehana radar a me ka ʻike ʻana. ʻO kā lākou mau waiwai like ponoʻī e ʻae iā lākou e liʻiliʻi i ka nui me ka mālama ʻana i ka pane electromagnetic maikaʻi loa. He mea maikaʻi loa kēia compactness i nā noi i kaupalena ʻia i ka lewa, e like me nā polokalamu kelepona, nā tag RFID, a me nā ʻōnaehana aerospace.
ʻO ka hoʻohana ʻana i nā antenna fractal a me nā metasurfaces he hiki ke hoʻomaikaʻi nui i nā kamaʻilio uea ʻole, nā kiʻi, a me nā ʻōnaehana radar, no ka mea hiki iā lākou ke hoʻohana i nā mea hana liʻiliʻi a kiʻekiʻe me ka hana i hoʻonui ʻia. Eia kekahi, ke hoʻohana nui ʻia nei ke ʻano fractal i ka hoʻolālā ʻana o nā sensor microwave no nā diagnostics mea, ma muli o kona hiki ke hana ma nā ʻano alapine he nui a me kona hiki ke hoʻonui ʻia. Ke hoʻomau nei ka noiʻi ʻana ma kēia mau wahi i ka ʻimi ʻana i nā hoʻolālā hou, nā mea hana, a me nā ʻano hana hana e hoʻokō ai i ko lākou hiki piha.
ʻO ka pahuhopu o kēia pepa e nānā hou i ka holomua o ka noiʻi a me ka hoʻohana ʻana o nā antenna fractal a me nā metasurfaces a hoʻohālikelike i nā antennas a me nā metasurfaces e pili ana i ka fractal, e hōʻike ana i ko lākou mau pono a me nā palena. ʻO ka mea hope loa, ua hōʻike ʻia kahi loiloi piha o nā reflectarrays hou a me nā ʻāpana metamaterial, a ua kūkākūkā ʻia nā pilikia a me nā hoʻomohala e hiki mai ana o kēia mau ʻano electromagnetic.

2. FractalʻAntennaNā ʻElemene
Hiki ke hoʻohana ʻia ka manaʻo nui o nā fractals e hoʻolālā i nā mea antenna exotic e hāʻawi ana i ka hana ʻoi aku ka maikaʻi ma mua o nā antennas maʻamau. Hiki i nā mea antenna fractal ke liʻiliʻi ka nui a loaʻa iā lākou nā mana multi-band a/a i ʻole broadband.
ʻO ka hoʻolālā ʻana o nā antenna fractal e pili ana i ka hana hou ʻana i nā ʻano geometric kikoʻī ma nā unahi like ʻole i loko o ke ʻano antenna. ʻO kēia ʻano like ponoʻī e hiki ai iā mākou ke hoʻonui i ka lōʻihi holoʻokoʻa o ka antenna i loko o kahi ākea kino i kaupalena ʻia. Eia kekahi, hiki i nā radiator fractal ke hoʻokō i nā hui he nui no ka mea ua like nā ʻāpana like ʻole o ka antenna kekahi i kekahi ma nā unahi like ʻole. No laila, hiki i nā mea antenna fractal ke liʻiliʻi a me ka multi-band, e hāʻawi ana i kahi uhi alapine ākea ma mua o nā antenna maʻamau.
Hiki ke hoʻihoʻi ʻia ke kumumanaʻo o nā antenna fractal i ka hopena o nā makahiki 1980. I ka makahiki 1986, ua hōʻike ʻo Kim lāua ʻo Jaggard i ka hoʻopili ʻana o ka fractal self-similarity i ka synthesis antenna array.
I ka makahiki 1988, ua kūkulu ke kanaka ʻepekema ʻo Nathan Cohen i ka antenna fractal element mua o ka honua. Ua manaʻo ʻo ia e hiki ke hoʻomaikaʻi ʻia kāna hana a me nā hiki ke hoʻonui ʻia ma o ka hoʻokomo ʻana i ka geometry like ponoʻī i loko o ke ʻano antenna. I ka makahiki 1995, ua hoʻokumu pū ʻo Cohen iā Fractal Antenna Systems Inc., nāna i hoʻomaka e hāʻawi i nā hoʻonā antenna fractal kalepa mua o ka honua.
I ka waena o nā makahiki 1990, ua hōʻike ʻo Puente et al. i nā hiki multi-band o nā fractals me ka hoʻohana ʻana i ka monopole a me ka dipole o Sierpinski.
Mai ka hana a Cohen lāua ʻo Puente, ua huki nui ʻia ka hoihoi o nā antennas fractal mai nā mea noiʻi a me nā ʻenekinia ma ke kahua o ke kelepona, e alakaʻi ana i ka ʻimi hou ʻana a me ka hoʻomohala ʻana i ka ʻenehana antenna fractal.
I kēia lā, hoʻohana nui ʻia nā antenna fractal i nā ʻōnaehana kamaʻilio uea ʻole, me nā kelepona paʻalima, nā mea hoʻohele Wi-Fi, a me nā kamaʻilio ukali. ʻO ka ʻoiaʻiʻo, he liʻiliʻi nā antenna fractal, multi-band, a he hana kūpono loa, e kūpono ai lākou no nā ʻano mea hana uea ʻole a me nā pūnaewele.
Hōʻike nā kiʻi ma lalo nei i kekahi mau antenna fractal e pili ana i nā ʻano fractal i ʻike nui ʻia, ʻo ia wale nō kekahi mau laʻana o nā hoʻonohonoho like ʻole i kūkākūkā ʻia ma ka palapala.
Ma ke ʻano kikoʻī, hōʻike ʻo Kiʻi 2a i ka monopole Sierpinski i manaʻo ʻia ma Puente, hiki ke hāʻawi i ka hana multi-band. Hoʻokumu ʻia ka huinakolu Sierpinski ma ka unuhi ʻana i ka huinakolu i hoʻohuli ʻia waena mai ka huinakolu nui, e like me ka mea i hōʻike ʻia ma ke Kiʻi 1b a me ke Kiʻi 2a. Waiho kēia kaʻina hana i ʻekolu mau huinakolu like ma ke ʻano, kēlā me kēia me ka lōʻihi o ka ʻaoʻao o ka hapalua o ka huinakolu hoʻomaka (e ʻike i ke Kiʻi 1b). Hiki ke hana hou ʻia ke kaʻina hana unuhi like no nā huinakolu i koe. No laila, ua like like kēlā me kēia o kāna mau ʻāpana nui ʻekolu me ka mea holoʻokoʻa, akā i ka pālua o ka nui, a pēlā aku. Ma muli o kēia mau ʻano like kūikawā, hiki iā Sierpinski ke hāʻawi i nā hui alapine he nui no ka mea ua like nā ʻāpana like ʻole o ka antenna kekahi i kekahi ma nā unahi like ʻole. E like me ka mea i hōʻike ʻia ma ke Kiʻi 2, hana ka monopole Sierpinski i manaʻo ʻia ma 5 mau hui. Hiki ke ʻike ʻia ʻo kēlā me kēia o nā sub-gaskets ʻelima (nā ʻano pōʻai) ma ke Kiʻi 2a he mana i hoʻonui ʻia o ke ʻano holoʻokoʻa, no laila e hāʻawi ana i ʻelima mau hui alapine hana like ʻole, e like me ka mea i hōʻike ʻia ma ka coefficient reflection input ma ke Kiʻi 2b. Hōʻike pū ke kiʻi i nā palena e pili ana i kēlā me kēia hui alapine (frequency), me ka waiwai alapine fn (1 ≤ n ≤ 5) ma ka waiwai liʻiliʻi loa o ka pohō hoʻihoʻi hoʻokomo i ana ʻia (Lr), ka bandwidth pili (Bwidth), a me ka lakio alapine ma waena o ʻelua mau hui alapine e pili ana (δ = fn +1/fn). Hōʻike ke Kiʻi 2b ua hoʻokaʻawale ʻia nā hui o nā monopoles Sierpinski ma ke ʻano logarithmically e kahi kumu o 2 (δ ≅ 2), kahi e kūlike ana me ka mea hoʻonui like i loaʻa i nā ʻano like ma ke ʻano fractal.

2

kiʻi 2

Hōʻike ka Kiʻi 3a i kahi antenna uea liʻiliʻi lōʻihi e pili ana i ke kiʻikuhi fractal Koch. Ua manaʻo ʻia kēia antenna e hōʻike pehea e hoʻohana ai i nā waiwai hoʻopiha hakahaka o nā ʻano fractal e hoʻolālā i nā antennas liʻiliʻi. ʻO ka ʻoiaʻiʻo, ʻo ka hōʻemi ʻana i ka nui o nā antennas ka pahuhopu hope loa o kahi nui o nā noi, ʻoiai nā mea e pili ana i nā kikowaena kelepona. Hana ʻia ka monopole Koch me ka hoʻohana ʻana i ke ʻano kūkulu fractal i hōʻike ʻia ma ke Kiʻi 3a. ʻO ka iteration mua ʻo K0 he monopole pololei. Loaʻa ka iteration aʻe K1 ma ka hoʻopili ʻana i kahi hoʻololi like me K0, me ka scaling e hoʻokahi hapakolu a me ka hoʻohuli ʻana e 0°, 60°, −60°, a me 0°, kēlā me kēia. Hana hou ʻia kēia kaʻina hana i ka iterative e loaʻa ai nā mea ma hope Ki (2 ≤ i ≤ 5). Hōʻike ka Kiʻi 3a i kahi mana ʻelima-iteration o ka monopole Koch (ʻo ia hoʻi, K5) me ke kiʻekiʻe h e like me 6 cm, akā hāʻawi ʻia ka lōʻihi holoʻokoʻa e ke ʻano l = h ·(4/3) 5 = 25.3 cm. Ua hoʻokō ʻia ʻelima mau antenna e pili ana i nā hana mua ʻelima o ke kiʻikuhi Koch (e nānā i ke Kiʻi 3a). Hōʻike nā hoʻokolohua a me nā ʻikepili e hiki i ka monopole fractal Koch ke hoʻomaikaʻi i ka hana o ka monopole kuʻuna (e nānā i ke Kiʻi 3b). Hōʻike kēia he hiki paha ke "hoʻoliʻiliʻi" i nā antenna fractal, e ʻae ana iā lākou e komo i loko o nā leo liʻiliʻi me ka mālama ʻana i ka hana pono.

3

kiʻi 3

Hōʻike ka Kiʻi 4a i kahi antenna fractal e pili ana i kahi set Cantor, i hoʻohana ʻia e hoʻolālā i kahi antenna wideband no nā noi hōʻiliʻili ikehu. Hoʻohana ʻia ka waiwai kū hoʻokahi o nā antenna fractal e hoʻolauna i nā resonances pili e hāʻawi i kahi bandwidth ākea ma mua o nā antennas maʻamau. E like me ka mea i hōʻike ʻia ma ke Kiʻi 1a, maʻalahi loa ka hoʻolālā o ka set fractal Cantor: kope ʻia ka laina pololei mua a māhele ʻia i ʻekolu mau ʻāpana like, mai kahi e wehe ʻia ai ka ʻāpana waena; a laila hoʻopili pinepine ʻia ke kaʻina hana like i nā ʻāpana i hana hou ʻia. Hana hou ʻia nā ʻanuʻu iteration fractal a hiki i ka loaʻa ʻana o kahi bandwidth antenna (BW) o 0.8-2.2 GHz (ʻo ia hoʻi, 98% BW). Hōʻike ka Kiʻi 4 i kahi kiʻi o ka prototype antenna i ʻike ʻia (Kiʻi 4a) a me kāna coefficient reflection input (Kiʻi 4b).

4

kiʻi 4

Hāʻawi ke Kiʻi 5 i nā laʻana hou aʻe o nā antenna fractal, me kahi antenna monopole i hoʻokumu ʻia i ka curve Hilbert, kahi antenna patch microstrip i hoʻokumu ʻia ma Mandelbrot, a me kahi patch fractal Koch island (a i ʻole "snowflake").

5

kiʻi 5

ʻO ka mea hope loa, hōʻike ka Kiʻi 6 i nā hoʻonohonoho fractal like ʻole o nā mea hoʻonohonoho, me nā ʻāpana planar kāpeti Sierpinski, nā ʻāpana apo Cantor, nā ʻāpana linear Cantor, a me nā lāʻau fractal. He mea pono kēia mau hoʻonohonoho no ka hana ʻana i nā ʻāpana sparse a/a i ʻole ka hoʻokō ʻana i ka hana multi-band.

6

kiʻi 6

No ka ʻike hou aku e pili ana i nā antennas, e kipa i ka pūnaewele:


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