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Found 32 Documents (Results 1–32)

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Spreading waves in a three-dimensional dielectric periodic waveguide described by the generalized reduced wave equation. (Russian, English) Zbl 1099.35055

Probl. Mat. Anal. 29, 17-24 (2004); translation in J. Math. Sci., New York 124, No. 3, 4958-4967 (2004).
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Projection and resolving operators of a three-dimensional periodic waveguide. (English. Russian original) Zbl 1128.35321

Vestn. St. Petersbg. Univ., Math. 36, No. 3, 18-20 (2003); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 2003, No. 3, 20-22 (2003).
MSC:  35J25 78A50
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Projection operators of a three-dimensional periodic waveguide. (English. Russian original) Zbl 1113.35319

J. Math. Sci., New York 117, No. 3, 4122-4156 (2003); translation from Probl. Mat. Anal. 26, 87-138 (2003).
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The spectrum of a periodic lightguide in three-dimensional space. (English. Russian original) Zbl 1113.78311

J. Math. Sci., New York 112, No. 1, 3997-4014 (2002); translation from Probl. Mat. Anal. 24, 103-130 (2002).
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Invariant subspaces of three-dimensional periodic lightguides. (English. Russian original) Zbl 1054.35101

J. Math. Sci., New York 107, No. 3, 3807-3814 (2001); translation from Probl. Mat. Anal. 23, 3-13 (2001).
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Integral equations of a three-dimensional light guide. (English. Russian original) Zbl 1043.78544

Vestn. St. Petersbg. Univ., Math. 32, No. 4, 18-21 (1999); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 1999, No. 4, 22-25 (1999).
MSC:  78A50
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Orthogonalization of eigenfunctions of a three-dimensional light guide. (English. Russian original) Zbl 1036.78500

Vestn. St. Petersbg. Univ., Math. 31, No. 1, 4-7 (1998); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 1998, No. 1, 6-9 (1998).
MSC:  78A10 35P10 78A50
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Biorthogonal eigenfunction systems for a light guide continuum. (English. Russian original) Zbl 1092.78511

Vestn. St. Petersbg. Univ., Math. 29, No. 1, 22-24 (1996); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 1996, No. 1, 21-24 (1996).
MSC:  78A60 35Q60
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The spectrum of a multilayer periodic dielectric waveguide. (English. Russian original) Zbl 0884.35107

Vestn. St. Petersbg. Univ., Math. 28, No. 4, 50-53 (1995); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 1995, No. 4, 97-100 (1995).
MSC:  35P05 78A50
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Boundedness of the resolvent of an optical waveguide on the continuous spectrum. (English. Russian original) Zbl 0831.45010

Vestn. St. Petersbg. Univ., Math. 26, No. 1, 7-10 (1993); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 1993, No. 1, 9-13 (1993).
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