parimitha-vyathyasam aavruthi-domaine reethi

iii
saadhaaranayaayi vaidyuthakaanthikathayilum chilappol shabdashaasthrathilum prasnangalkkulla oru samkhyaa parihara reethiyaanu parimitha-vyathyasa aavruthi-domaine (eph. dii. eph. dii) reethi, ithu deferential samavaakyathile derivative oopparettarmaarude parimitha-vyathyasa ekadesharekhaye adisthaanamaakkiyullathaanu.
ellah freekwansi-domaine parimitha-vyathyasa reethikalum vivarikkunna oru pothuvaaya padamaanu "eph. dii. eph. dii" ennaal, eee reethi chitharal prashnangalkk baadhakamaanennu thalakkett kooduthalum vivarikkunnu. eee reethi parimitha-vyathyasa samaya-domaine (efdtd) reethiyumaayi niravadhi samanathakal pankidunnu, athinaal efditidiyile saahityam nerittu prayogikkaan kazhiyum. sthiramaaya aavruthiyilulla srothassukalkkum feeldukalkkumulla maxwellinte samavaakyangale (allengil mattu bhagika deferential samavaakyam) matricks phoom formula _ 1 aayi parivartthanam cheythaanu reethi pravartthikkunnathu. matricks "a" taranga samavaakya oopparettaril ninnu uruthirinjathaanu, koolam vekttar "x" feeld gadakangal adangiyirikkunnu, koolam vekttar "b" uravidathe vivarikkunnu. eee reethikk anisotropic vasthukkal ulppeduthaan kazhiyum, ennaal tensorinte oof-diagonal gadakangalkku prathyeka chikitsa aavasyamaanu.
karsanamaayi paranjaal, vaidyuthakaanthikathayil "freekwansi-domaine" prashnangalude kuranjathu rund vibhaagangalenkilum undu. onnu, sthiramaaya aavruthi ω, i ulla karant density jeey-yilekkulla prathikaranam kandethuka ennathaanu.iii. formula _ 2, allengil samanamaaya samaya-harmonic uravidam. eee "freekwansi-domaine prathikaranam" prashnam mukalil vivarichathupole rekheeya samavaakyangalude oru formula _ 1 samvidaanathilekku nayikkunnu. chitharal prasnangal pariharikkunnathinulla freekwansi-domaine prathikarana reethiyude aadyakaala vivaranam kristtum hartnagel (1987) prasidheekarichu. mattonn oru gadanayude saadhaarana reethikal kandethuka ennathaanu (udha.jii. oru taranga guide) uravidangalude abhaavathil eee saahacharyathil aavruthi ω thanne oru variablaanu, oraalkk oru eejanproblam formula _ 4 labhikkunnu (saadhaaranayaayi, eejan value λ ennathu ω2 aanu). vaidyuthakaanthika eejan prasnangal pariharikkunnathinulla oru efdtd reethiyude aadyakaala vivaranam albani aandu bernardy (1974) prasidheekarichu.
efdidiyumaayum femmumaayum thaarathamyam cheyyuka.
chila pradhana vyathyaasangalundengilum eph. dii. eph. dii reethi parimitha ghadaka reethiyumaayi (phem) valare saamyamullathaan. eph. dii. tii. dii. reethiyil ninnu vyathyasthamayi, thudarchayaayi kanakkukoottenda samaya gattangalonnumilla, athinaal eph. dii. eph. dii nadappilaakkunnathu eluppamaakkunnu. ithu eph. dii. eph. dii. yude kanakkukoottal chelavu kuravaanennu sangalppikkaanum idayaakkum; ennirunnaalum, ithu anganeyalla. eph. dii. eph. dii reethikk oru viralamaaya rekheeya samvidaanam pariharikkendathundu, ithu lalithamaaya prashnangalkk polum 20,000 bye 20,000 gadakangalo athilum valutho aakam, oru dashalakshathiladhikam anjjaathangalundu. ekkaaryathil, eph. dii. eph. dii reethi feminu samaanamaan, ithu oru parimithamaaya deferential reethiyaanu, koodaathe ithu saadhaaranayaayi freekwansi domainilum nadappilaakkunnu. valare computational chelaveria prakriyaya matricks inversion ozhivakkaan kaaryakshamamaya samkhyaa pariharangal labhyamaan. koodaathe, prashnatthinte valuppam kuraykkunnathinu model oordar reduction teknikkukal upayogikkaam.
yey grid kooduthalum chathuraakrithiyilulla gadanakalil parimithappeduthiyirikkunnathil, aaa kaaryatthil eph. dii. eph. diyum eph. dii. tii. diyum sankeernamaaya jyaamithikalo multiscale gadanakalo nannayi nalkunnilla. valare mikacha grid mesh (ithu computational chelavu vardhippikkunnu) upayogicho uparithala athirthi vyavasthakalumaayulla phalangal ekadeshamaayi kanakkakkiyo ithu marikadakkaan kazhiyum. oru interface athirthiyil grid ekeekrithamallaathappol poojya vyathichalana vyavasthakal nilanirthaatthathinaal, ekeekrithamallaatha gridding interface athirthiyil vyaja chaarjukalilekku nayichekkaam. femil cheiyunnathupole, adisthaana pravartthanangal upayogichu interfasiludaneelam durbalamaaya thudarcha nadappilaakkunnathiloode eee prashnathe marikadakkaan e, h feeld thudarcha nilanirthaan kazhiyum. grid murikkaanum shoonyamaaya idam mesh cheiyunnathu ozhivaakkaanum thikachum poruthappedunna lair (pml) athirthi vyavasthakal upayogikkaam.
supsettans ghadakam thulyamaaya surcuted.
nodel voltageukal iii feeld gadakangale prathinidheekarikkunna second oordar ekvivaalant sarkyoottine vivarikkunna vidhathil eph. dii. eph. dii samavaakyangal punakrameekarikkaam, koodaathe branch karantukal echu feeld gadakangale prathinidheekarikkunnu. eee thulyamaaya surcuted praathinidhyam valare upayogapradamaakum, kaaranam surcuted sidhaanthathil ninnulla saankethikavidyakal prashnam vishakalanam cheyyaano lalithamaakkaano upayogikkaam, koodaathe trimana vaidyuthakaanthika simuleshanulla sugandhavyanjanam polulla upakaranamaayi ithu upayogikkaam. eee susseptance elament ekvivaalant surcuted (cec) modalinu anjjaatharude ennam kurayunnathinte gunangalundu, iii feeld gadakangalkku maathram pariharikkendathundu, koodaathe second oordar model oordar reduction teknikkukal upayogikkaam.
aaplikkeshanukal.
electronic paakkejingile vividha aaplikkeshanukalkkaayi intarkanakdukal model cheiyunnathinaayi phul wave simuleshan nalkaan eph. dii. eph. dii reethi upayogichittundu. opttikkal freekwansikalile vividha chitharal prasnangalkkum eph. dii. eph. dii upayogichittundu.

