Kawirikawiri, mphamvu ya kuwala kwa laser ndi Gaussian, ndipo pogwiritsira ntchito laser, optical system nthawi zambiri amagwiritsidwa ntchito kuti asinthe mtengowo.

Mosiyana ndi chiphunzitso chofananira cha geometric optics, chiphunzitso cha kusintha kwa kuwala kwa mtengo wa Gaussian sichinafanane, chomwe chimagwirizana kwambiri ndi magawo a laser mtengo wokha komanso malo achibale a optical system.

Pali magawo ambiri ofotokozera mtengo wa laser wa Gaussian, koma ubale pakati pa utali wamalo ndi malo a m'chiuno nthawi zambiri amagwiritsidwa ntchito pothana ndi mavuto. Ndiko kuti, kutalika kwa chiuno cha mtengo wa chochitikacho (ω₁) ndi mtunda wa optical transformation system (z₁) amadziwika, ndiyeno mawonekedwe osinthika a m'chiuno (ω₂), malo okhala m'chiuno (z₂) ndi malo ozungulira (ω₃) pamalo aliwonse (z) zapezeka. Yang'anani pa lens, ndikusankha malo a kutsogolo ndi kumbuyo kwa chiuno cha lens monga ndege yowonetsera 1 ndi ndege yowonetsera 2 motsatira, monga momwe tawonetsera mkuyu.

                     Chithunzi 1 Kusintha kwa Gauss kudzera mu lens woonda

Malinga ndi parameter q chiphunzitso cha Gaussian mtengo, ndi q₁ ndi q₂ pa ndege ziwiri zolozera zitha kufotokozedwa motere:

Mu chilinganizo pamwambapa: The f_e1 ndi f_e2 motsatana ndi magawo a confocus isanayambe komanso itatha kusintha kwa mtengo wa Gaussian. Pambuyo pa mtanda wa Gaussian kudutsa malo aulere z₁, lens yopyapyala yokhala ndi utali wolunjika F ndi malo aulere z₂, malinga ndi ABCD kufala kwa matrix chiphunzitso, zotsatirazi zitha kupezeka:

Pakadali pano, q₁ ndi q₂ kwaniritsani maubale awa:

Mwa kuphatikiza ma formula omwe ali pamwambapa ndikupanga magawo enieni ndi ongoyerekeza kumapeto onse a equation motsatana, titha kupeza:

Equations (4) - (6) ndi mgwirizano wosinthika pakati pa malo a chiuno ndi kukula kwa malo a mtengo wa Gaussian mutadutsa mu lens yopyapyala.