Martin J Bastiaans and Tatiana Alieva 2005 J. Phys. A: Math. Gen. 38 L73 doi:10.1088/0305-4470/38/6/L01
Martin J Bastiaans1 and Tatiana Alieva2
Show affiliationsWe consider the field that appears at the output of a first-order optical system when its input field is a Hermite–Gaussian mode. The generating function for the output modes is determined. The orthonormality property of the output modes is confirmed, and derivative and recurrence relations for these modes are derived. Mode converters that generate Laguerre–Gaussian and Hermite–Laguerre–Gaussian modes are considered as examples.
Issue 6 (11 February 2005)
Received 24 October 2004, in final form 3 December 2004
Published 26 January 2005
Martin J Bastiaans and Tatiana Alieva 2005 J. Phys. A: Math. Gen. 38 L73
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