The concepts of shape-invariance error (SIE) and shape-invariance range (SIR) have recently been introduced to specify in a quantitative way the shape changes suffered by a beam on propagation. Here such parameters are evaluated for the case of a fundamental Gaussian beam in the presence of a quartic aberration of its wave front. Numerical results are presented for the case of a collimated aberrated beam. Generalization to the case of noncollimated beams is also given.
© 2001 Optical Society of America
(050.1960) Diffraction and gratings : Diffraction theory
(140.3300) Lasers and laser optics : Laser beam shaping
(220.1010) Optical design and fabrication : Aberrations (global)
(350.4800) Other areas of optics : Optical standards and testing
(350.5500) Other areas of optics : Propagation
Massimo Santarsiero, "Shape-invariance properties of a quartic-aberrated TEM00 Gaussian beam," J. Opt. Soc. Am. A 18, 1650-1655 (2001)