Ladder operators for the radial index of the paraxial optical modes in the cylindrical coordinates are calculated. The operators obey the su(1,1) algebra commutation relations. Based on this Lie algebra, we found that coherent modes constructed as eigenstates of the destruction operator or resulting from the action of the displacement operator on the fundamental mode are different. Some properties of these two kinds of radial coherent modes are studied in detail.
Radial coherent and intelligent states of paraxial wave equation / Karimi, Ebrahim; Santamato, Enrico. - In: OPTICS LETTERS. - ISSN 0146-9592. - 37:(2012), pp. 2484-2486. [10.1364/OL.37.002484]
Radial coherent and intelligent states of paraxial wave equation
KARIMI, ebrahim;SANTAMATO, ENRICO
2012
Abstract
Ladder operators for the radial index of the paraxial optical modes in the cylindrical coordinates are calculated. The operators obey the su(1,1) algebra commutation relations. Based on this Lie algebra, we found that coherent modes constructed as eigenstates of the destruction operator or resulting from the action of the displacement operator on the fundamental mode are different. Some properties of these two kinds of radial coherent modes are studied in detail.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
