Muenzaniso weDambudziko reKupararira kweChiedza
Kupararira kwechiedza chiitiko chinoitika kana mafungu echiedza achipinda nepaburi rakamanikana kana kutenderedza chipingamupinyi opararira achienda kunze. Chiitiko ichi chinopa humbowo hwekuti chiedza chine hunhu hwemafungu uye ipfungwa yakakosha mufizikisi. Muchinyorwa chino, tichakurukura mienzaniso yakajairika yematambudziko ekupararira kwechiedza, pamwe nehurukuro netsananguro.
Pendauluan
Kupararira kwechiedza kwakatsanangurwa kekutanga nemusayendisiti wekuItaly Francesco Maria Grimaldi muzana remakore rechi17. Kupararira kwechiedza kunoitika kana mafungu echiedza achichinja nzira yaanopararira nayo paanopfuura nepaburi kana chipingamupinyi. Izvi zvinoguma nemaitiro ekupindira kwechiedza. Kazhinji, kupararira kwechiedza kunonyanya kuonekwa kana kureba kwechiedza kwakaenzana nehukuru hwepaburi kana chipingamupinyi chachinopfuura nacho.
Chiitiko chekupararira kwechiedza chinogona kutsanangurwa uchishandisa mamodheru maviri epanyama: Wave Model neGeometric Optical Model. Kuti uverenge uye ufanotaura mapatani ekupararira kwechiedza, equation yekupararira kwechiedza yakagadzirwa naAugustin-Jean Fresnel naJoseph von Fraunhofer inowanzo shandiswa.
Pfungwa huru yekuparadzanisa
Usati wakurukura nezvematambudziko emuenzaniso, zvakakosha kunzwisisa dzimwe pfungwa huru muchiedza chinopenya:
1. Mipata yeChimwe Chete neKaviri: Patani iri nyore yekuyerera kwechiedza inogona kuonekwa kana chiedza chikapfuura nemupata mumwe chete kana miviri. Patani inobuda imhando yemitsetse yechiedza nerima iri pachiratidziro chekuona.
2. Mitsetse Yekupindira: Mitsetse yakajeka neyakasviba iri pachiratidziro imhedzisiro yekupindirana kwemafungu echiedza akatsauswa. Mitsetse yakajeka inonzi mitsetse yekubatanidza inovaka, nepo mitsetse yakasviba ichikonzerwa nekupindirana kunoparadza.
3. Kureba kweWave: Kureba kwewave kwechiedza chinoshandiswa kunokanganisa zvikuru patani yekupararira kwechiedza. Chiedza chine wavevel refu chichagadzira patani yakafara yekupararira kwechiedza.
4. Angle yeDiffraction: Angle iyo chiedza chinopatsanurwa inogona kuzivikanwa uchishandisa misimboti yetrigonometry uye urefu hwewavelength yechiedza chinoshandiswa.
Muenzaniso weDambudziko reKupararira kweChiedza
Ngatikurukurei mimwe mienzaniso yezvinetso zvinowanzo sangana nazvo mukudzidza nezvekupararira kwechiedza.
Muenzaniso Mubvunzo 1: Kupatsanurwa kweMupata Mumwe Chete
Mubvunzo: Danda relaser rine wavelength ye600 nm rinopfuura nemuburi rimwe chete rine upamhi hwe0,2 mm. Verenga kona ye diffraction θ ye odha yekutanga (m=1).
Kukurukurirana: Panyaya yekupatsanurwa kwemupendero mumwe chete, tinogona kushandisa equation inotevera yekupatsanurwa:
\[ a \sin \theta = m\lambda \]
dimana:
– \( a \) ihupamhi hwemukana,
– \( \theta \) ndiyo kona yekuparadzanisa,
– \( \lambda \) ndiwo urefu hwechiedza,
– \( m \) ndiyo nzira yekudiffraction.
Zvakapihwa:
– \( \lambda = 600 \) nm = \( 600 \kawa 10^{-9} \) m,
– \( a = 0.2 \) mm = \( 0.2 \kawa 10^{-3} \) m,
– \( m = 1 \).
Isa zvinhu zviri mu equation,
\[ 0.2 \nguva 10^{-3} \sin \theta = 1 \nguva 600 \nguva 10^{-9} \]
Kugadzirisa \( \sin \theta \),
\[ \sin \theta = \frac{600 \times 10^{-9}}{0.2 \times 10^{-3}} \]
Kuverenga \( \sin \theta \),
\[ \chivi \theta = 0.003 \]
Uchishandisa karukureta kuti uwane kona \( \theta \),
\( \theta \inenge 0.172 \) madhigirii.
Saka, kona yekudiffraction yekutanga inokwana madhigirii 0.172.
Muenzaniso Mubvunzo 2: Kupatsanurwa Kwemipata Miviri
Mubvunzo: Chiedza chine urefu hwemafungu e500 nm chinopfuura nemumugero wakapetwa kaviri une chinhambwe pakati pemigero ye0,1 mm. Verenga nzvimbo yemutsetse wechipiri wakajeka pachiratidziro chiri mamita maviri kubva pamugero.
Kukurukurirana: Kushandisa equation ye diffraction ine mitswe miviri:
\[ d \sin \theta = m\lambda \]
dimana:
– \( d \) ndiyo daro riri pakati pemipata miviri,
– \( \lambda \) ndiwo urefu hwechiedza,
– \( m \) ndiyo nzira yekudiffraction.
Kuti tiwane nzvimbo iri pachiratidziro (\( y \)) che \( \theta \), tinoshandisa:
\[ y = L \tan \theta \]
Kune diki \( \theta \), \( \tan \theta \approx \sin \theta \), uye \( L \) ndiyo daro rechidzitiro kubva pamusuwo.
Zvakapihwa:
– \( \lambda = 500 \kawa 10^{-9} \) m,
– \( d = 0.1 \kawa 10^{-3} \) m,
– \( L = 2 \) m,
– \( m = 2 \).
Isa zvinhu zviri mu equation,
\[ 0.1 \nguva 10^{-3} \sin \theta = 2 \nguva 500 \nguva 10^{-9} \]
Kugadzirisa \( \sin \theta \),
\[ \sin \theta = \frac{1000 \times 10^{-9}}{0.1 \times 10^{-3}} \]
Kuverenga \( \sin \theta \),
\[ \chivi \theta = 0.01 \]
Fungidzira \( \sin \theta = \tan \theta \) kuti uwane madaro akakura, wobva waisa equation yenzvimbo,
\[ y = 2 \kawa 0.01 = 0.02 \] m kana 20 mm.
Saka, nzvimbo yemutsara wechipiri wakajeka pachiratidziro iri 20 mm kubva pakati pechiratidziro.
Penutup
Kupararira kwechiedza inyaya inoratidza kuti chiedza chinoita semafungu. Chiitiko ichi chinobatsira zvikuru muzvikamu zvakasiyana-siyana zvesainzi, kunyanya optics ne spectroscopy. Kunzwisisa kupararira kwechiedza hakungobvi padzidziso chete asiwo kuburikidza nekugadzirisa matambudziko akasiyana-siyana anogona kubatsira kudzikamisa kunzwisisa kwehunhu hwemafungu echiedza.
Nekufambira mberi kwetekinoroji pakuona nekunzwisisa hunhu hwechiedza, chiitiko chekupararira kwechiedza chinoramba chichishandiswa muzvinhu zvakasiyana-siyana zvitsva zvetekinoroji uye mashandisirwo azvo, kubva kumateresikopu kusvika kuzvishandiso zvekuyera zvakanyatsonaka. Saka, kudzidza nezvekupararira kwechiedza hakusi kwekudzidza chete asiwo kune zvakunobatsira muhupenyu hwezuva nezuva nekukura kwetekinoroji.
