Abstract
Under the Collins transformation, the orthonormal set of Hermite-Gaussian modes maps into an orthonormal set of beams with a Gaussian envelope. Among them are the Laguerre-Gaussian beams and the recently introduced Hermite-Laguerre-Gaussian beams. Compact expressions for the complex field amplitudes of these modes are derived. The obtained results are useful for the description of light propagation through first-order optical systems, for the solution of the phase retrieval problem by non-interferometric techniques, and for the design of mode converters and information processing systems.
| Original language | English |
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| Pages (from-to) | 1461-1463 |
| Number of pages | 3 |
| Journal | Optics Letters |
| Volume | 30 |
| Issue number | 12 |
| DOIs | |
| Publication status | Published - 2005 |