TsimScience

Lub lens hwj chim ntawm lub lens

Refraction ntawm lub teeb yog lug siv nyob rau hauv ntau yam kho qhov muag pab kiag li lawm: cov koob yees duab, binoculars, telescopes, rub kom pom loj. Indispensable thiab feem ntau tseem ceeb ib feem ntawm cov pab kiag li lawm yog lub lens. Thiab lub hwj chim ntawm lub lens - ib qho ntawm lub ntsiab cai tseem ceeb characterizing tej kho qhov muag ntsuas.

Kho qhov muag lens los yog kho qhov muag iav - ib lub teeb-permeable iav lub cev uas yog bounded rau ob sab kheej kheej los yog lwm yam nkhaus chaw (ib tug ntawm ob chaw tej zaum yuav tiaj tus).

Tus duab ntawm tus bounding chaw tej zaum yuav kheej kheej, cylindrical los yog lwm yam. Lo ntsiab muag uas muaj ib tug nruab nrab thicker tshaj lub npoo, hu ua convex; nrog cov npoo thicker nruab nrab - concave.
Yog hais tias koj cia thaum uas tig mus beam ntawm lub teeb rays rau convex lens, thiab muab tso rau nws screen, ces nws tsiv mus nyob txheeb ze mus rau lub lens, peb nrhiav tau nws ib tug me ntsis kaj chaw. Nws yog rhuav nws ntog beams, sau lawv. Yog li ntawd, nws yog hu ua collect. Lub concave lens refracting teeb, diffuses nws nyob rau hauv tes. Nws yog hu ua kev tawg ri niab.

chaw ntawm lub lens yog hu ua nws cov kho qhov muag lub chaw. Tej kab uas kis tau los ntawm nws, yeej lub naming ntawm tus kho qhov muag axis. Ib tug axis kev sib tshuam lub hauv paus ntawm lub kheej kheej refractive nto yog hu ua tus thawj xib fwb (cov tub ntxhais) ntawm tus kho qhov muag axis ntawm lub lens, lwm leej lwm tus - sab-axes.

Yog hais tias ncaj qha mus rau lub muab khaws tseg lens axis beam thaum uas tig mus rau nws cov axis, dua nws, no beam yuav tshuam lub axis ntawm ib tug tej yam kev ncua deb ntawm nws. Qhov no deb yog hu ua tus focal ntev thiab lub taw tes rau ntawm kev tshuam nws tus kheej - nws ua kom pom tseeb. Tag nrho lo ntsiab muag muaj ob tug ua kom pom tseeb, uas yog nyob rau ob sab. Raws li cov kev cai ntawm refraction ntawm lub teeb, nws yog tau nyob rau hauv kev tshawb xav los ua pov thawj hais tias tag nrho cov axial beams los yog rays los ze rau lub ntsiab kho qhov muag axis teeb meem nyob rau hauv cov collective lens thaum uas tig mus rau lub axis los sib nyob rau kom pom tseeb. Kev qhia no theoretical pov thawj.

Cia ib beam ntawm rays thaum uas tig mus rau lub ntsiab axis ntawm tus kho qhov muag axis rau ib tug nyias dvoyakougolnuyu lens, peb yuav pom tau tias tawm ntawm nws, cov rays yuav mus ib beam uas diverges. Nyob rau hauv cov ntaub ntawv ntawm kev sib cuag nrog xws li ib tug divergent beam nyob rau hauv peb lub qhov muag, peb yuav xav hais tias lub rays los ntawm ib tug taw tes. Qhov no tau txais tis npe virtual kom pom tseeb. Lub dav hlau, uas yog nyob perpendicular mus rau lub ntsiab kho qhov muag axis los ntawm tus tsom xam ntawm lub lens yog hu ua tus focal dav hlau. Lub focal dav hlau ntawm lub lens yog ob tug, thiab lawv muaj nyob rau ntawm ob sab ntawm nws. Thaum lub lens yog hais beam ntawm rays, uas yog thaum uas tig mus rau tej sab ntawm tus kho qhov muag axis, lub beam, tom qab refraction tshwm sim nws converges rau lub sib nug xov axis nyob rau hauv nws cov kev tshuam nrog cov focal dav hlau.

Kho qhov muag hwj chim ntawm lub lens - qhov no yog xws li ib tug nqi, uas yog lub reciprocal ntawm nws cov focal ntev. Peb txhais tau tias nws nrog rau cov kev pab ntawm lub mis:
1 / F = D.

Lub tsev ntawm kev ntsuas ntawm no dag zog yuam yog hu ua diopters.
1 diopter - ib tug optical hwj chim ntawm lub lens muaj ib tug focal deb ntawm 1 m.
Nyob rau hauv convex lo ntsiab muag, qhov no quab yuam yog zoo, thaum lub concave - tsis zoo.
Piv txwv li: Yuav ua li cas yuav ua tau kho qhov muag lub hwj chim ntawm spectacle lens convex yog F = 50 cm - nws focal ntev?
D = 1 / F; los ntawm hypothesis: F = 0,5 m; li no: D = 1 / 0.5 = 2 diopters.
Lub magnitude ntawm lub focal ntev, thiab yog li ntawd lub hwj chim ntawm lub lens yog txhais los ntawm refractive index khoom, uas muaj ib tug lens thiab lub voos kheej-kheej ntawm lub kheej kheej chaw bounding nws.

Qhov kev tshawb xav muab ib tug qauv uas yuav xam nws:
D = 1 / F = (n - 1) (1 / R1 + 1 / R2).
Nyob rau hauv cov mis no, n - refraction ntawm lub lens khoom, R1, 2 - tus radii ntawm curvature ntawm qhov chaw. Lub radii of convex chaw yog xam tau tias yog zoo thiab concave - tsis zoo.

Ximxoo duab uas tau los ntawm cov kwv lens, piv txwv li. E. Nws magnitude thiab txoj hauj lwm nyob rau hauv lub qhov chaw ntawm tus kwv txheeb ze mus rau lub lens. yam khoom qhov chaw nyob thiab nws cov magnitude yuav pom los ntawm kev siv cov mis ntawm lub lens:
1 / F = 1 / d + 1 / f.
Yuav kom txiav txim seb qhov linear magnification lens siv tus formula:
k = f / d.

Kho qhov muag hwj chim ntawm lub lens - ib lub tswvyim uas yuav tsum tau tshawb kom ntxaws.

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