Geodesic
A priori estimates in problems of the synthesis of interference coverings
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 30 (1990) no. 2, pp. 298-309

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Problems of the synthesis of interference coatings under the action of electromagnetic waves are treated in a variational formulation. A priori estimates for the bounds of the change in the thickness and the number of layers of the optimal system are obtained on the basis of a constructive analysis of the necessary conditions of optimality. A knowledge of such estimates enables one to reduce substantially the number of permissible versions of the multilayer structures which are analysed for optimality. 
@article{ZVMMF_1990_30_2_a11,
     author = {E. L. Gusev},
     title = {A~priori estimates in problems of the synthesis of interference coverings},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {298--309},
     publisher = {mathdoc},
     volume = {30},
     number = {2},
     year = {1990},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_1990_30_2_a11/}
}
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E. L. Gusev. A priori estimates in problems of the synthesis of interference coverings. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 30 (1990) no. 2, pp. 298-309. http://geodesic.mathdoc.fr/item/ZVMMF_1990_30_2_a11/