{"id":519,"date":"2023-03-05T16:59:14","date_gmt":"2023-03-05T16:59:14","guid":{"rendered":"https:\/\/arkis.com.tr\/?page_id=519"},"modified":"2026-06-04T14:27:29","modified_gmt":"2026-06-04T11:27:29","slug":"dipol-anten-nedir-nasil-calisir","status":"publish","type":"page","link":"https:\/\/arkis.com.tr\/?page_id=519","title":{"rendered":"Dipol Anten Nedir? Nas\u0131l \u00c7al\u0131\u015f\u0131r?"},"content":{"rendered":"\n<h2 class=\"wp-block-heading\">Dipol Anten Nedir? Nas\u0131l \u00c7al\u0131\u015f\u0131r?<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">Klasik devre teorisine g\u00f6re bir devreden ak\u0131m ge\u00e7ebilmesi i\u00e7in devrenin kapal\u0131 bir d\u00f6ng\u00fcy\u00fc tamamlanm\u0131\u015f olmas\u0131 gerekir. Kayna\u011f\u0131n do\u011fru ak\u0131m veya alternatif ak\u0131m olmas\u0131 fark etmez, a\u00e7\u0131k devre bir hattan ak\u0131m ge\u00e7emez. Zaten hat uzunluklar\u0131 da temsilidir ve sadece devre elemanlar\u0131n\u0131n birbirleri ile ba\u011flant\u0131lar\u0131n\u0131 tan\u0131mlamak i\u00e7in kullan\u0131l\u0131rlar. Ancak elektromanyetik teori meseleye daha geni\u015f bir perspektiften bakar ve daha kapsay\u0131c\u0131d\u0131r. Mesela, bir alternatif ak\u0131m kayna\u011f\u0131n\u0131n frekans\u0131 yeterince y\u00fcksekse, devrenin fiziksel b\u00fcy\u00fckl\u00fc\u011f\u00fcnden \u00e7ok daha k\u00fc\u00e7\u00fck dalga boylar\u0131na sahip sinyaller elde edilebilir. Bu da devredeki kaynaktan ayr\u0131lan ak\u0131m-gerilim de\u011fi\u015fimlerinin dalgalar halinde yay\u0131lmas\u0131n\u0131 sa\u011flar.<\/p>\n\n\n\n<figure class=\"wp-block-image size-large is-resized\" id=\"wp-block-themeisle-blocks-image-9e169621\"><img fetchpriority=\"high\" decoding=\"async\" src=\"https:\/\/arkis.com.tr\/wp-content\/uploads\/2023\/03\/01-1024x717.png\" alt=\"\" class=\"wp-image-522\" width=\"432\" height=\"302\"\/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\">Tam bu noktada enteresan bir durum s\u00f6z konusudur. Kaynak taraf\u0131ndan beslenen y\u00fck a\u00e7\u0131k devre olacak \u015fekilde \u00e7\u0131kart\u0131l\u0131r ve belirli bir uzunluktaki iki u\u00e7 birbirlerine z\u0131t y\u00f6nlere do\u011fru 90 derece b\u00fck\u00fcl\u00fcrse, devrenin sonu a\u00e7\u0131k devre olmas\u0131na ra\u011fmen elektrik enerjisinin ak\u0131\u015f\u0131n\u0131n devam etti\u011fi g\u00f6zlenir. Klasik bir devrede enerji ak\u0131\u015f\u0131n\u0131n s\u00fcreklili\u011fi, y\u00fcke aktar\u0131lan enerjinin \u0131s\u0131 enerjisine d\u00f6n\u00fc\u015fmesi ile a\u00e7\u0131klanabilir. Peki, b\u00f6yle bir devrede enerji a\u00e7\u0131k u\u00e7taki bu yap\u0131ya do\u011fru nas\u0131l ilerlemeye devam eder? \u0130\u015fte bunu a\u00e7\u0131klayabilmek i\u00e7in elektromanyetik teoriye ihtiya\u00e7 duyulur. Bu b\u00fck\u00fcl\u00fc yap\u0131 art\u0131k \u00e7ift kutuplu (yani dipol) bir antendir. Anten kendisine ula\u015fan elektriksel enerjiyi elektromanyetik enerjiye d\u00f6n\u00fc\u015ft\u00fcr\u00fcp bo\u015flu\u011fa yayabilecek kabiliyete sahiptir. \u0130letim hatt\u0131 boyunca kapal\u0131 bir \u015fekilde elektrik alan olu\u015fturarak ilerleyen y\u00fckler, dipol antene ula\u015ft\u0131klar\u0131nda s\u00f6z konusu a\u00e7\u0131kl\u0131k \u00fczerinden d\u0131\u015fa do\u011fru a\u00e7\u0131lan bir elektrik alan olu\u015fturacaklard\u0131r. Dipol anten \u00fczerindeki elektrik alan zamanda-harmonik olarak sal\u0131nan ve s\u00fcrekli y\u00f6n de\u011fi\u015ftiren bir yap\u0131da olacakt\u0131r. Bu de\u011fi\u015fime ba\u011fl\u0131 olarak elektromanyetik dalgalar olu\u015facak ve \u0131\u015f\u0131k h\u0131z\u0131 ile antenden uzakla\u015facakt\u0131r.<\/p>\n\n\n\n<figure class=\"wp-block-image size-large is-resized\" id=\"wp-block-themeisle-blocks-image-e457434e\"><img decoding=\"async\" src=\"https:\/\/arkis.com.tr\/wp-content\/uploads\/2023\/03\/02-1024x720.png\" alt=\"\" class=\"wp-image-523\" width=\"466\" height=\"327\"\/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\">Dipol anten yap\u0131s\u0131nda esas olan a\u015fa\u011f\u0131 ve yukar\u0131 y\u00f6nlerde s\u00fcrekli h\u0131zlan\u0131p yava\u015flayarak sal\u0131nan y\u00fcklerin (yani elektronlar\u0131n) yer de\u011fi\u015fimlerini sa\u011flamakt\u0131r. Asl\u0131nda ideal olan, iki par\u00e7adan olu\u015fan bir yap\u0131 de\u011fil, tek par\u00e7a \u00e7ubuk \u015feklinde bir iletkendir. Bu durumda elektronlar\u0131n \u00e7ubuk i\u00e7erisinde yukar\u0131 ve a\u015fa\u011f\u0131 uyum i\u00e7erisinde sal\u0131nmas\u0131 bir dipol antenin temelini olu\u015fturur. Ger\u00e7ekte dipol antenin besleme noktas\u0131 bu ind\u00fcklemeyi ger\u00e7ekle\u015ftirmek i\u00e7in vard\u0131r. Elektronlar\u0131n \u00fcst kutupta birikmesi sonucunda \u00fcst kutupta negatif bir y\u00fck yo\u011funlu\u011fu, alt kutupta ise pozitif bir y\u00fck yo\u011funlu\u011fu s\u00f6z konusu olacakt\u0131r. Bu durumda \u0130ki kutup aras\u0131nda bir elektrik alan olu\u015facakt\u0131r. Dolay\u0131s\u0131 ile bir elektriksel potansiyel farktan da bahsetmek m\u00fcmk\u00fcnd\u00fcr. Benzer \u015fekilde, elektronlar alt kutba h\u00fccum etti\u011finde elektrik alan ayn\u0131 \u015fiddette ve fakat z\u0131t y\u00f6nde olu\u015facakt\u0131r. Elektrik alan\u0131n zamana ba\u011fl\u0131 bu harmonik de\u011fi\u015fimi bir elektromanyetik dalgan\u0131n olu\u015fmas\u0131n\u0131 ve antenden uzakla\u015fmas\u0131n\u0131 sa\u011flar. Y\u00fcklerin dipol anten i\u00e7erisindeki bu davran\u0131\u015f\u0131, ak\u0131m kavram\u0131 a\u00e7\u0131s\u0131ndan incelenirse, y\u00fcklerin kutuplar aras\u0131ndaki ge\u00e7i\u015flerinin bir ak\u0131ma sebebiyet verece\u011fi a\u015fikard\u0131r. Ak\u0131m\u0131n ak\u0131\u015f\u0131 da do\u011fal olarak bir manyetik alan olu\u015fturacakt\u0131r. Zaten elektromanyetik dalgalar zamanla harmonik olarak de\u011fi\u015fen bir elektrik alan ve bu elektrik alana dik bir manyetik alandan olu\u015fur.<\/p>\n\n\n\n<figure class=\"wp-block-image size-large is-resized\" id=\"wp-block-themeisle-blocks-image-775a94a2\"><img decoding=\"async\" src=\"https:\/\/arkis.com.tr\/wp-content\/uploads\/2023\/03\/03-1024x612.png\" alt=\"\" class=\"wp-image-524\" width=\"524\" height=\"313\"\/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\">Elektromanyetik dalgalar verici antenden ayr\u0131ld\u0131ktan sonra bo\u015flukta ilerlerken, ayn\u0131 dipol yap\u0131daki ba\u015fka bir iletkene \u00e7arpt\u0131\u011f\u0131 anda iletken \u00fczerindeki y\u00fckleri ind\u00fckleyip harekete ge\u00e7irecektir. B\u00f6ylece elektromanyetik dalgalar verici devreden ayr\u0131 ve uzak bir mesafede tekrar elektriksel sinyallere d\u00f6n\u00fc\u015fm\u00fc\u015f olacakt\u0131r.Bu elektriksel sinyallerin uygun filtre, y\u00fckseltici ve demod\u00fclat\u00f6r devrelerinden ge\u00e7irilmesi sonucunda mesaj sinyali tekrar elde edilebilir. Mesela, konu\u015fan birisinin sesi mikrofon yard\u0131m\u0131 ile al\u0131c\u0131 taraf\u0131nda elektriksel sinyallere d\u00f6n\u00fc\u015ft\u00fcr\u00fclebilir. Bu \u00f6rnekte mesaj sinyalimiz elektriksel formdaki ses sinyalidir. S\u00f6z konusu d\u00fc\u015f\u00fck frekansl\u0131 sinyaller, mod\u00fcle edilerek y\u00fcksek frekansa bindirildikten sonra, uygun filtreleme ve y\u00fckseltici uygulamalar\u0131 sonucunda dipol anten ile kablosuz olarak bo\u015flu\u011fa yay\u0131labilir. Tabi ki hem verici hem de al\u0131c\u0131 taraf\u0131ndaki, burada temsili olarak \u00e7izilen mod\u00fclat\u00f6r, filtre ve y\u00fckseltici birimlerinin ve s\u0131ralamalar\u0131n\u0131n ger\u00e7ekte daha karma\u015f\u0131k olmas\u0131 beklenir. Bo\u015flukta kablosuz olarak ilerleyen sinyaller al\u0131c\u0131 taraf\u0131nda tekrar mesaj sinyaline yani ses sinyaline \u00e7evrilecek ve bir hoparl\u00f6r ile insan kula\u011f\u0131n\u0131n duyabilece\u011fi ses sinyallerine d\u00f6n\u00fc\u015ft\u00fcr\u00fclecektir. B\u00f6ylece dipol antenler yard\u0131m\u0131 ile bir ses dalgas\u0131 kilometrelerce \u00f6teden duyulabilecek \u015fekilde kablosuz bir y\u00f6ntemle aktar\u0131lm\u0131\u015f olur.<\/p>\n\n\n\n<figure class=\"wp-block-embed is-type-video is-provider-youtube wp-block-embed-youtube wp-embed-aspect-16-9 wp-has-aspect-ratio\"><div class=\"wp-block-embed__wrapper\">\n<iframe title=\"Dipol Anten Nedir? Nas\u0131l \u00c7al\u0131\u015f\u0131r?\" width=\"1140\" height=\"641\" src=\"https:\/\/www.youtube.com\/embed\/UCA4p-3rAaI?feature=oembed\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture; web-share\" referrerpolicy=\"strict-origin-when-cross-origin\" allowfullscreen><\/iframe>\n<\/div><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>Dipol Anten Nedir? Nas\u0131l \u00c7al\u0131\u015f\u0131r? Klasik devre teorisine g\u00f6re bir devreden ak\u0131m ge\u00e7ebilmesi i\u00e7in devrenin kapal\u0131 bir d\u00f6ng\u00fcy\u00fc tamamlanm\u0131\u015f olmas\u0131 gerekir. Kayna\u011f\u0131n do\u011fru ak\u0131m veya alternatif ak\u0131m olmas\u0131 fark etmez, a\u00e7\u0131k devre bir hattan ak\u0131m ge\u00e7emez. Zaten hat uzunluklar\u0131 da temsilidir ve sadece devre elemanlar\u0131n\u0131n birbirleri ile ba\u011flant\u0131lar\u0131n\u0131 tan\u0131mlamak i\u00e7in kullan\u0131l\u0131rlar. Ancak elektromanyetik teori meseleye [&hellip;]<\/p>\n","protected":false},"author":2,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"_crdt_document":"{\"document\":\"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Nas\u0131l \u00c7al\u0131\u015f\u0131r? Klasik devre teorisine g\u00f6re bir devreden ak\u0131m ge\u00e7ebilmesi i\u00e7in devrenin kapal\u0131 bir d\u00f6ng\u00fcy\u00fc tamamlanm\u0131\u015f olmas\u0131 gerekir. Kayna\u011f\u0131n do\u011fru ak\u0131m veya alternatif ak\u0131m olmas\u0131 fark etmez, a\u00e7\u0131k devre bir hattan ak\u0131m ge\u00e7emez. Zaten hat uzunluklar\u0131 da temsilidir ve sadece devre elemanlar\u0131n\u0131n birbirleri ile ba\u011flant\u0131lar\u0131n\u0131 tan\u0131mlamak i\u00e7in kullan\u0131l\u0131rlar. 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