Elliptic Laguerre-Gaussian beams.
An analytical expression for the diffraction of an elliptic Laguerre-Gaussian (LG) beam is derived and analyzed. We show that a beam with even singularity order has nonzero axial intensity for any degree of ellipticity and at any finite distance z from the initial plane, whereas at z = 0 and z = infinity the axial intensity is zero. We show that for a beam with a small degree of ellipticity and even order of singularity, two isolated intensity zeroes appear in the Fresnel zone on a straight line at an angle of 45 deg or -45 deg, depending whether the beam's spin is right or left. The theoretical conclusions are confirmed by numerical simulation and physical experiments.
Kotlyar
Victor V
VV
Image Processing Systems Institute, Russian Academy of Sciences, Samara State Aerospace University, 151 Molodogvardejskaya, Samara 443001, Russia.
Khonina
Svetlana N
SN
Almazov
Anton A
AA
Soifer
Victor A
VA
Jefimovs
Konstantins
K
Turunen
Jari
J