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

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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%. 
@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},
     publisher = {mathdoc},
     volume = {149},
     number = {1},
     year = {2007},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/UZKU_2007_149_1_a19/}
}
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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/