Kazhinji, iyo irradiation intensity yelaser iGaussian, uye mukuita kwekushandisa laser, optical system inowanzo shandiswa kushandura danda zvinoenderana.

Yakasiyana neiyo mutsara dzidziso ye geometric optics, iyo optical shanduko dzidziso yeGaussian beam haina mutsara, iyo yakanyatso hukama nemaparamendi e laser beam pachayo uye chinzvimbo chehukama che optical system.

Kune akawanda ma paramita ekutsanangura iyo Gaussian laser beam, asi hukama pakati peiyo nzvimbo radius uye danda chiuno chinzvimbo chinowanzo shandiswa mukugadzirisa matambudziko anoshanda. Ndiko kuti, chiuno chechiuno chechiitiko chechiitiko (ω₁) uye chinhambwe cheiyo optical shanduko system (z₁) dzinozivikanwa, uyezve iyo yakashandurwa chiuno chiuno radius (ω₂), danda rechiuno (z₂) uye nzvimbo yenzvimbo (ω₃) pane chero chinzvimbo (z) zvinowanikwa. Tarisa pane lens, uye sarudza mberi uye kumashure kwechiuno zvigaro zve lens seyereferensi ndege 1 uye ndege inotaridzirwa 2 maererano, sezvinoratidzwa mumufananidzo 1.

                     Mufananidzo 1 Shanduko yeGauss kuburikidza neatete lenzi

Maererano neparameter q dzidziso yeGaussian beam, the q₁ uye q₂ pane mbiri ndege dzereferensi dzinogona kuratidzwa se:

Mune fomula iri pamusoro: The f_e1 uye f_e2 iwo akateerana iwo confocus paramita pamberi uye mushure meGaussian danda shanduko. Mushure mekunge danda reGaussian richipfuura nepanzvimbo yemahara z₁, iyo lenzi yakatetepa ine focal kureba F uye nzvimbo yemahara z₂, maererano ne ABCD transmission matrix theory, zvinotevera zvinogona kuwanikwa:

Zvichakadaro, q₁ uye q₂ kugutsa hukama hunotevera:

Nekubatanidza mafomula ari pamusoro uye kugadzira iwo chaiwo uye ekufungidzira zvikamu pamigumo yese yeequation zvakaenzana, tinogona kuwana:

Equations (4) - (6) ihwo hukama hwekushandura pakati pechinzvimbo chechiuno uye saizi yemuvara weGaussian danda mushure mekupfuura nepakati pelenzi nhete.