Asymptotic behavior of angular momentum of the light field as a superposition of Hermite-Gaussian modes
V.G.Volostnikov

 

Lebedev Physical Institute, Samara, Russia,

Samara State Aerospace University, Samara, Russia

Full text of article: Russian language.

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Abstract:
An asymptotic behavior of orbital angular momentum (OAM) for the light field as superposition of Hermite-Gaussian modes is considered. An analytical formula for the OAM of such fields is obtained. For a three- and four mode superposition it was found that their OAM can be larger than the maximum index in the superposition while the structural stability of the light field is retained.

Keywords:
coherent optics, spiral beams, orbital angular momentum.

Citation:
Volostnikov VG. Asymptotic behavior of angular momentum of the light field as a superposition of Hermite-Gaussian modes. Computer Optics 2016; 40(2): 147-51. – DOI: 10.18287/2412-6179-2016-40-2-147-151.

References:

  1. Jackson J. The classical electrodynamics [In Russian]. Мoscow: Mir Publiser; 1965.
  2. Allen L, Beijersbergen MW, Spreeuw RJ, Woerdman JP. Orbital angular momentum of light and the transformation of Laguerre-Gaussian modes. Physical Review A 1992; 45: 8185-8189. DOI: 10.1103/PhysRevA.45.8185.
  3. Yao A, Padgett MJ. Orbital angular momentum: origins, behavior and applications. Adv Opt Photon 2011; 3: 161-204. DOI: 10.1364/AOP.3.000161.
  4. Kotlyar VV, Kovalev AA. Vortex Laser Beams [In Russian]. Samara: Novaya Technika; 2012.
  5. Abramochkin E, Volostnikov V, Malov A. About two-dimension phase retrieval problem in Fresnel approximation. [In Russian]. Moscow; 1987. Deposited in VINITI 18.05.87, Number 3773-В87-14.
  6. Abramochkin E, Volostnikov V. Beam transformations and nontransformed beams. Optics Communications 1991; 83(1-2): 123-135. DOI: 10.1016/0030-4018(91)90534-K.
  7. Abramochkin EG, Volostnikov VG. The modern optics of the Gaussian beams [In Russian]. Мoscow: Fizmatlit Publisher; 2010.
  8. Volostnikov VG. The methods of analysis and synthesis of coherent light fields [In Russian]. Мoscow: Fizmatlit Publisher; 2014.
  9. Kotlyar VV, Kovalev AA. Hermite-Gaussian modal laser beams with orbital angular momentum. JOSA A. 2014; 31(2): 274-281. DOI: 10.1364/JOSA A.31.000274.
  10. Volostnikov VG. Orbital angular momentum of light field as the superposition of Hermite-Gaussian modes. Computer Optics 2015: 39(4), 459-461. DOI: 10.18287/0134-2452-2015-39-4-459-4618.
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