Holographic generation and orbital angular momentum of high-order Mathieu beams
- 8 March 2002
- journal article
- Published by IOP Publishing in Journal of Optics B: Quantum and Semiclassical Optics
- Vol. 4 (2) , S52-S57
- https://doi.org/10.1088/1464-4266/4/2/368
Abstract
We report the first experimental generation of high-order Mathieu beams and confirm their propagation invariance over a limited range. In our experiment we use a computer-generated phase hologram. The peculiar behaviour of the vortices in Mathieu beams gives rise to questions about their orbital-angular-momentum content, which we calculate by performing a decomposition in terms of Bessel beams.Keywords
This publication has 14 references indexed in Scilit:
- Elliptic vortices of electromagnetic wave fieldsOptics Letters, 2001
- Alternative formulation for invariant optical fields: Mathieu beamsOptics Letters, 2000
- Optical X wave communicationsOptics Communications, 1999
- Generation of diffraction-free beams for applications in optical microlithographyJournal of Vacuum Science & Technology B: Microelectronics and Nanometer Structures, 1997
- A study of two-dimensional array transducers for limited diffraction beamsIEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control, 1994
- Realization of general nondiffracting beams with computer-generated hologramsJournal of the Optical Society of America A, 1989
- Diffraction-free beamsPhysical Review Letters, 1987
- Exact solutions for nondiffracting beams I The scalar theoryJournal of the Optical Society of America A, 1987
- Mode calculations in unstable resonators with flowing saturable gain 2: Fast Fourier transform methodApplied Optics, 1975
- On the partial differential equations of mathematical physicsMathematische Annalen, 1903