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.
Image Processing Systems Institute, Russian Academy of Sciences, Samara State Aerospace University, 151 Molodogvardejskaya, Samara 443001, Russia.
Victor V
VV
Kotlyar
Svetlana N
SN
Khonina
Anton A
AA
Almazov
Victor A
VA
Soifer
Konstantins
K
Jefimovs
Jari
J
Turunen