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Relations between Hermite and Laguerre Gaussian modes

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2 Author(s)
Kimel, Isidoro ; Dept. of Phys., Univ. of Central Florida, Orlando, FL, USA ; Elias, Luis R.

Relations between Hermite (HG) and Laguerre (LG) Gaussian modes are derived. With these, a LG mode is written as a sum of HG modes, and vice versa. These mode relations are derived from addition identities between a Laguerre polynomial and a pair of Hermite polynomials. The addition relations are derived in two appendices. One figure illustrates the contents of a LG mode in terms of HG modes while a second figure shows the translation in the opposite direction

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Quantum Electronics, IEEE Journal of  (Volume:29 ,  Issue: 9 )