Abstract

An orthonormal family of super Lorentz–Gauss (SLG) modes is proposed to describe the highly divergent higher-order modes. The first-order and the second-order SLG modes SLG01 and SLG11 are illustrated as examples. Analytical propagation formulas of the SLG01 and SLG11 modes through a paraxial ABCD optical system are derived, and analytical beam propagation factors of the SLG01 and SLG11 modes are presented. The paraxial propagation properties of the SLG01 and SLG11 modes in free space are also compared with those of the corresponding Hermite–Gaussian (HG) HG01 and HG11 modes, respectively. This research indicates that SLG modes are more appropriate than HG modes to describe the highly divergent higher-order modes.

© 2010 Optical Society of America

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