Invariant laser beams: fundamental properties and their investigation by computer simulation and optical experiment

Pavelyev, V. S.; Duparré, Michael; Luedge, Barbara; Сойфер, В. А.; Kowarschik, R.; Golovashkin, D. L.

doi:10.1117/12.360046

Cited by 4 publications

(7 citation statements)

References 6 publications

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“…In this work calculation of DOE, generating a beam, the cross-section of which is described by eigenfunction of an operator of light propagation in the medium with parabolic profile, was made by use (12), (13). The Gaussian beam was used as an illuminating beam.…”

Section: Computer Simulation Resultsmentioning

confidence: 99%

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On-fiber diffractive microrelief design for efficient control of the waveguiding beam

Pavelyev

2006

SPIE Proceedings

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Introduction of diffractive optical elements (DOEs) opened the possibility to control field distribution in the cross-section of laser beam. In fact, by use of DOE one can focus the laser beam into predicted areas 1 as well as form the beam with pre-given behavior propagation through waveguide medium 2,3 .Diffractive optical element is the plate made from optical material (substrate) with diffractive micro-relief realized on the one or both sides of the plate.Note, that the diffractive micro-relief can be realized directly on the waveguide surface 4 as well. Some applications need the focusing of the output waveguiding beam into predicted area 4 . Generally, one can use diffractive micro-relief on the output end face of the waveguide in the case of excitement of selected waveguide mode. Other applications need selected waveguide mode excitement for fiber sensor sensitivity improvement 5 .In the present paper it is suggested to use micro-relief on the input waveguide cross-section for effective excitement of selected mode.The strategy of the search of Gaussian mode with intensity distribution closed to the illuminating beam intensity distribution is suggested to be used. Corresponding numerical procedure is described.Computer simulation results as well as first experimental results are presented.

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Section: Computer Simulation Resultsmentioning

confidence: 99%

“…Due to the orthogonality of the basis (7) . (10) Beams which cross-sections are described by the elements of subspaces (10) with the number of serie members more than one described as multimode dispersionless beams 2 or as invariant multimode beams 12 .…”

Section: Basic Formalismmentioning

confidence: 99%

On-fiber diffractive microrelief design for efficient control of the waveguiding beam

Pavelyev

2006

SPIE Proceedings

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“…To investigate properties of beams with cross-section described by functions from subspace (10) in 6 we presented a DOE, capable to transform a Gaussian (0,0) input beam into a combination of GH modes having same value of propagation constant m β taking with adjusted intermodal phase shift. Now we present results, obtained by synthesis and investigation of beams, consisting of two modes with the same value of propagation constant (multimode dispersionless beams) with possibility to adjust the intermodal phase shift during experiment.…”

Section: Multimode Dispersionless Beam Investigation By Methods Of Opmentioning

confidence: 99%

“…Beams which cross-sections are described by the elements of subspaces (10) with the number of serie members more than one described as multimode dispersionless beams 5 or as invariant multimode beams 6 Let`s state some properties of eigensubspaces operator P : 1.…”

Section: Eigenfunctions Of the Operator Of Light Propagation In The Lmentioning

confidence: 99%

Investigation of multimode dispersionless beams

et al. 2004

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“…(10) Beams which cross-sections are described by the elements of subspaces (10) with the number of serie members more than one described as multimode dispersionless beams 2 or as invariant multimode beams 9 .…”

Section: Parabolic Profile Mediummentioning

confidence: 99%

Design of diffractive optical micro-relief for waveguided beam focusing

Pavelyev

2005

SPIE Proceedings

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Introduction of diffractive optical elements (DOEs) opened the possibility to control field distribution in the cross-section of laser beam. In fact, by use of DOE one can focus the laser beam into predicted areas 1 as well as form the beam with pre-given behavior propagation through waveguide medium 2,3 .The diffractive micro-relief can be realized either on the separated substrate 3 or directly on the waveguide surface 4 .Some applications need the focusing of the output waveguided beam into predicted area 4 . But generally, one can use diffractive micro-relief on the output of waveguide in the case of excitement of selected waveguide mode only. Another applications need selected waveguide mode excitement for fiber sensor sensitivity improvement 2 .In the present talk it is suggested to use micro-relief on the input waveguide cross-section for selected mode excitement.The strategy of the search of waveguide mode with intensity distribution closed to the illuminating beam intensity distribution is suggested to be used. Corresponding numerical procedure is described.Computer simulation results are presented.

show abstract

Invariant laser beams: fundamental properties and their investigation by computer simulation and optical experiment

Cited by 4 publications

References 6 publications

On-fiber diffractive microrelief design for efficient control of the waveguiding beam

On-fiber diffractive microrelief design for efficient control of the waveguiding beam

Investigation of multimode dispersionless beams

Design of diffractive optical micro-relief for waveguided beam focusing

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