Mode mapping in paraxial lossless optics

T. Alieva, M.J. Bastiaans

Research output: Contribution to journalArticleAcademicpeer-review

32 Citations (Scopus)


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 languageEnglish
Pages (from-to)1461-1463
Number of pages3
JournalOptics Letters
Issue number12
Publication statusPublished - 2005


Dive into the research topics of 'Mode mapping in paraxial lossless optics'. Together they form a unique fingerprint.

Cite this