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Paraxially annihilating vortex-beams in uniaxial crystals 
1Fadeyeva T., 2Valkov I., 1Volyar A.

1Physics Department, Taurida National V.I. Vernadsky University, 4 Vernadsky Ave., 95007 Simferopol, Ukraine
2Department EKSA, Technikal University-Sofia, Plovdiv Branch, 25 Tsanko Diustabanov St., 4000 Plovdiv, Bulgaria

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Unique properties of paraxially annihilating beams have been considered. We have derived the expressions for this beam type obeying the Maxwell’s equations. It has been revealed that the beams originate from mismatching of the electric and magnetic fields and the evanescent waves in the field components. When the electric and magnetic fields become totally matched in the paraxial approxi-mation, the paraxially annihilating beams vanish.

Keywords: nonparaxial beam, optical vortex, uniaxial birefringent crystal

PACS: 41.85.-p, 42.25.Ja, 42.25.Lc
UDC: 535.3, 535.5
Ukr. J. Phys. Opt. 11 74 - 89   doi: 10.3116/16091833/11/2/74/2010
Received: 29.12.2009

Анотація. Розглянуто специфічні властивості параксіально анігілюючих пучків. Одержано вирази для пучків цього типу, які задовольняють рівнянням  Максвела. Виявлено, що походження цих пучків пов’язано з неузгодженням електричного та магнітного полів, а також із швидко затухаючими хвилями в компонентах поля. Повне узгодження електричного та магнітного полів в параксіальному наближенні зумовлює зникнення параксіально анігілюючих пучків.
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