Geodesic
Conversion Gaussian mode in the axial-symmetric light beam of different types with a ring interferometer
Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Kazanskii Gosudarstvennyi Universitet. Uchenye Zapiski. Seriya Fiziko-Matematichaskie Nauki, Tome 149 (2007) no. 1, pp. 128-134 
A. K. Chernyshov; A. O. Allin. Conversion Gaussian mode in the axial-symmetric light beam of different types with a ring interferometer. Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Kazanskii Gosudarstvennyi Universitet. Uchenye Zapiski. Seriya Fiziko-Matematichaskie Nauki, Tome 149 (2007) no. 1, pp. 128-134. http://geodesic.mathdoc.fr/item/UZKU_2007_149_1_a19/
@article{UZKU_2007_149_1_a19,
     author = {A. K. Chernyshov and A. O. Allin},
     title = {Conversion {Gaussian} mode in the axial-symmetric light beam of different types with a~ring interferometer},
     journal = {U\v{c}\"enye zapiski Kazanskogo universiteta. Seri\^a Fiziko-matemati\v{c}eskie nauki},
     pages = {128--134},
     year = {2007},
     volume = {149},
     number = {1},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/UZKU_2007_149_1_a19/}
}
TY  - JOUR
AU  - A. K. Chernyshov
AU  - A. O. Allin
TI  - Conversion Gaussian mode in the axial-symmetric light beam of different types with a ring interferometer
JO  - Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki
PY  - 2007
SP  - 128
EP  - 134
VL  - 149
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/UZKU_2007_149_1_a19/
LA  - ru
ID  - UZKU_2007_149_1_a19
ER  - 
%0 Journal Article
%A A. K. Chernyshov
%A A. O. Allin
%T Conversion Gaussian mode in the axial-symmetric light beam of different types with a ring interferometer
%J Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki
%D 2007
%P 128-134
%V 149
%N 1
%U http://geodesic.mathdoc.fr/item/UZKU_2007_149_1_a19/
%G ru
%F UZKU_2007_149_1_a19

Voir la notice du chapitre de livre provenant de la source Math-Net.Ru

In this paper the method was suggested for conversion of the fundamental Gaussian mode into three types of axial-symmetric light beams: with reduced expansion, hollow and homogeneous intensity distribution. The mode conversion is based on the reflection of a part of laser beam under mismatched coupling conditions into the bow-tie ring cavity. It was established by the numerical modeling that transition between the laser beam types occurs as the reflection of interferometer mirror is changing. Calculated efficiency of the conversion method is amount 80%.

[1] Lee W. M., Yuan X.-C., Cheong W. C., “Optical vortex beam shaping by use of highly efficient irregular spiral phase plates for optical micromanipulation”, Opt. Lett., 29 (2004), 1796–1798 | DOI

[2] Arlt J., Hitomi T., Dholakia K., “Atom guiding along Laguerre – Gaussian and Bessel Light beams”, Appl. Phys. B, 71 (2000), 549–554 | DOI

[3] Xie G., Scott P., Shaw T. et al., “Optical technique for particle measurement”, Opt. Lett., 16 (1991), 861–863 | DOI

[4] Cacciapuoti L., de Angelis M., Pierattini G. et al., “Single-beam optical bottle for cold atoms using a conical lens”, Eur. Phus. J. D., 14 (2001), 373–376 | DOI

[5] Clifford M. A., Arlt J., Courtial J. et al., “High-order Laguerre – Gaussian laser modes for studies of cold atoms”, Opt. Commun., 156 (1998), 300–306 | DOI

[6] Ganic D., Gan X., Gu M. et al., “Generation of doughnut laser beams by use of a liquid-crystal cell with a conversion efficiency near 100%”, Opt. Lett., 27 (2002), 1351–1353 | DOI

[7] Sayeh M. R., Bilger H. R., Habib T., “Optical resonator with an external source: excitation of the Hermite – Gaussian mode”, Appl. Opt., 24 (1985), 3756–3761 | DOI

[8] Courtial J., Padgett M. J., “Performance of a cylindrical lens mode converter for producing Laguerre – Gaussian laser modes”, Opt. Commun., 159 (1999), 13–18 | DOI

[9] Chernyshov A. K., Allin A. O., “Effektivnost preobrazovaniya izlucheniya diodnogo lazera v gaussovskie mody vysokogo poryadka s pomoschyu koltsevogo interferometra”, Izv. Samarsk. nauchn. tsentra RAN, 7 (2005), 54–61

[10] Kogelnik H., “Coupling and conversion coefficients for optical modes”, Quasi-Optics, Proc. Symp. Quasi-Optics (N. Y., June 8–10, 1964), v. 14, Polytechnique Press, Brooklyn–N. Y., 1964, 333–347

[11] Kozlovsky W. J., Nabors C. D., Byer R. L., “Efficient second harmonic generation of a diode-laser-pumped CW Nd:YAG laser using monolithic MgO:LiNbO$_3$ external resonant cavities”, IEEE J. Quantum Electron, 24 (1988), 913–919 | DOI