메뉴 건너뛰기




Volumn 8, Issue 1, 2001, Pages 83-105

Mathematical Aspects of Integral Optics

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0347116119     PISSN: 10619208     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (7)

References (62)
  • 3
    • 0345853685 scopus 로고
    • 2u = 0 with Boundary Conditions on Equidistant Curves and the Propagation of Electromagnetic Waves in a Waveguide
    • 2u = 0 with Boundary Conditions on Equidistant Curves and the Propagation of Electromagnetic Waves in a Waveguide, Dokl. Akad. Nauk SSSR, 1958, vol. 123, no. 4, pp. 631-633.
    • (1958) Dokl. Akad. Nauk SSSR , vol.123 , Issue.4 , pp. 631-633
    • Maslov, V.P.1
  • 4
    • 0347745255 scopus 로고
    • On Made Open Resonators
    • Maslov, V. P. and Vorob'ev, E. M., On Made Open Resonators, Dokl. Akad. Nauk SSSR, 1968, vol. 179, no. 3, pp. 558-561.
    • (1968) Dokl. Akad. Nauk SSSR , vol.179 , Issue.3 , pp. 558-561
    • Maslov, V.P.1    Vorob'ev, E.M.2
  • 5
    • 0347114939 scopus 로고
    • 2u = 0 in the Region between Equidistant Surfaces
    • 2u = 0 in the Region between Equidistant Surfaces, Trudy MIEM, 1968, no. 4, pp. 146-162.
    • (1968) Trudy MIEM , Issue.4 , pp. 146-162
    • Golubeva, Z.N.1    Gordeeva, I.A.2
  • 6
    • 0347114944 scopus 로고
    • An Equation for Transverse Modes of Laser Beams in an Open Resonator that is Bounded by Equidistant Surfaces
    • Gordeeva, I. A., An Equation for Transverse Modes of Laser Beams in an Open Resonator that is Bounded by Equidistant Surfaces, Trudy MIEM, 1968, no. 4, pp. 163-188.
    • (1968) Trudy MIEM , Issue.4 , pp. 163-188
    • Gordeeva, I.A.1
  • 11
    • 18844363892 scopus 로고
    • Non-Stationary Effects and Space-Time Analogy in Nonlinear Optics
    • Akhmanov, S. A., Sukhorukov, A. P., and Chirkin, A. S., Non-Stationary Effects and Space-Time Analogy in Nonlinear Optics, JETPh, 1968, vol. 55, no. 4, pp. 1430-1448.
    • (1968) JETPh , vol.55 , Issue.4 , pp. 1430-1448
    • Akhmanov, S.A.1    Sukhorukov, A.P.2    Chirkin, A.S.3
  • 12
    • 0347745252 scopus 로고
    • Equation of Dawson Type for Waves in Optically Nonlinear Media
    • Moscow: PhIAN SSSR
    • Dyakov, Yu. E., Equation of Dawson Type for Waves in Optically Nonlinear Media, Short Notes in Physics, Moscow: PhIAN SSSR, 1973, no. 4, pp. 23-29.
    • (1973) Short Notes in Physics , Issue.4 , pp. 23-29
    • Dyakov, Yu.E.1
  • 14
    • 0347114938 scopus 로고
    • On a Model of Thermal Self-Action of Light
    • Olkhov, B. M., On a Model of Thermal Self-Action of Light, Izv. Vyssh. Uchebn. Zaved., Radiophysics, 1982, vol. 25, no. 5, pp. 78-80.
    • (1982) Izv. Vyssh. Uchebn. Zaved., Radiophysics , vol.25 , Issue.5 , pp. 78-80
    • Olkhov, B.M.1
  • 15
    • 84932907434 scopus 로고
    • Semi-Classical Soliton Solutions of Hartree Equations
    • Karasev, M. V. and Maslov, V. P., Semi-Classical Soliton Solutions of Hartree Equations, TMPh, 1979, vol. 40, no. 2, pp. 235-244.
    • (1979) TMPh , vol.40 , Issue.2 , pp. 235-244
    • Karasev, M.V.1    Maslov, V.P.2
  • 16
    • 0009995882 scopus 로고
    • Algebras with General Commutation Relations and Their Applications. II. Operator Unitary-Nonlinear Equations
    • Karasev, M. V. and Maslov, V. P., Algebras with General Commutation Relations and Their Applications. II. Operator Unitary-Nonlinear Equations, Sovremennye problemy matematiki, 1979, vol. 13, pp. 145-267.
    • (1979) Sovremennye Problemy Matematiki , vol.13 , pp. 145-267
    • Karasev, M.V.1    Maslov, V.P.2
  • 17
    • 0346484618 scopus 로고
    • Short-Wave Asymptotics of the Point Source Function for Maxwell Equation in Isotropic Medium
    • Irkutsk
    • Karasev, M. V. and Gataulin, T. M., Short-Wave Asymptotics of the Point Source Function for Maxwell Equation in Isotropic Medium, Research in Geomagnetism, Airnomy, and Physics of Sun, 1972, vol. 25, Irkutsk, pp. 50-75.
    • (1972) Research in Geomagnetism, Airnomy, and Physics of Sun , vol.25 , pp. 50-75
    • Karasev, M.V.1    Gataulin, T.M.2
  • 22
  • 23
    • 34250399331 scopus 로고
    • Periodic Problem for the Korteweg-de Vries Equation
    • Novikov, S. P., Periodic Problem for the Korteweg-de Vries Equation, Funk. Anal. Pril., 1974, vol. 8, no. 3.
    • (1974) Funk. Anal. Pril. , vol.8 , Issue.3
    • Novikov, S.P.1
  • 25
    • 0001772195 scopus 로고
    • Nonlinear KdV-Equations, Finite Gap Linear Operators, and Abelian Manifolds
    • Dubrovin, B. A., Matveev, V. B., and Novikov, S. P., Nonlinear KdV-Equations, Finite Gap Linear Operators, and Abelian Manifolds, Uspekhi Mat. Nauk, 1976, vol. 31, no. 1, pp. 55-136.
    • (1976) Uspekhi Mat. Nauk , vol.31 , Issue.1 , pp. 55-136
    • Dubrovin, B.A.1    Matveev, V.B.2    Novikov, S.P.3
  • 26
    • 0347114937 scopus 로고
    • Hypothesis in Θ-Functions Theory and Nonlinear Equations of KdV and KP Type
    • Dubrovin, B. A. and Novikov, S. P., Hypothesis in Θ-Functions Theory and Nonlinear Equations of KdV and KP Type, Dokl. Akad. Nauk SSSR, 1980, vol. 251, no. 3.
    • (1980) Dokl. Akad. Nauk SSSR , vol.251 , Issue.3
    • Dubrovin, B.A.1    Novikov, S.P.2
  • 28
    • 0347745251 scopus 로고
    • Nonlinear Dynamics of Tsunami Waves
    • Gorkii
    • Pelinovskii, E. N., Nonlinear Dynamics of Tsunami Waves, IPF AN SSSR, 1982, Gorkii.
    • (1982) IPF AN SSSR
    • Pelinovskii, E.N.1
  • 31
    • 0000941743 scopus 로고
    • Generalized Solutions of the Cauchy Problem for the Korteweg-de Vries Equation
    • Kruzhkov, S. N. and Faminskii, A. V., Generalized Solutions of the Cauchy Problem for the Korteweg-de Vries Equation, Mat. Sb., 1983, vol. 120, no. 3, pp. 396-425.
    • (1983) Mat. Sb. , vol.120 , Issue.3 , pp. 396-425
    • Kruzhkov, S.N.1    Faminskii, A.V.2
  • 32
    • 0040515998 scopus 로고
    • Conditions of Hugoniot Type for Infinitely Narrow Solutions of the Simple Wave Equation
    • Maslov, V. P. and Omel'yanov, G. A., Conditions of Hugoniot Type for Infinitely Narrow Solutions of the Simple Wave Equation, Sibirsk. Mat. Zh., 1983, no. 5, pp. 172-182.
    • (1983) Sibirsk. Mat. Zh. , Issue.5 , pp. 172-182
    • Maslov, V.P.1    Omel'yanov, G.A.2
  • 33
    • 0004021335 scopus 로고
    • Berlin: Springer, 1995, Reprint of the 6th ed.
    • Yosida, K., Functional Analysis, Berlin: Springer, 1995, Reprint of the 6th ed. (1980).
    • (1980) Functional Analysis
    • Yosida, K.1
  • 36
    • 49049147061 scopus 로고
    • Interactions of Solitons in Nonintegrable Systems: Direct Perturbation Method and Applications
    • Gorshkov, K. A. and Ostrovsky, L. A., Interactions of Solitons in Nonintegrable Systems: Direct Perturbation Method and Applications, Physica 3D, 1981, nos. 1, 2, pp. 428-438.
    • (1981) Physica 3D , Issue.1-2 , pp. 428-438
    • Gorshkov, K.A.1    Ostrovsky, L.A.2
  • 37
    • 0347114925 scopus 로고
    • Waves in a Nonlinear Inhomogeneons Medium That Are Concentrated in the Vicinity of a Given Curve
    • Vakulenko, S. A. and Molotkov, I. A., Waves in a Nonlinear Inhomogeneons Medium That Are Concentrated in the Vicinity of a Given Curve, Dokl. Akad. Nauk SSSR, 1982, vol. 262, no. 3, pp. 587-591.
    • (1982) Dokl. Akad. Nauk SSSR , vol.262 , Issue.3 , pp. 587-591
    • Vakulenko, S.A.1    Molotkov, I.A.2
  • 38
    • 0010877308 scopus 로고
    • δ-Shaped Solutions of Quasilinear Equations That Are Generalized in the Sense of Sobolev
    • Maslov, V. P. and Tsupin, V. A., δ-Shaped Solutions of Quasilinear Equations That Are Generalized in the Sense of Sobolev, Uspekhi Mat. Nauk, 1979, vol. 34, no. 1, pp. 235-236.
    • (1979) Uspekhi Mat. Nauk , vol.34 , Issue.1 , pp. 235-236
    • Maslov, V.P.1    Tsupin, V.A.2
  • 39
    • 0039256395 scopus 로고
    • Necessary Conditions for the Existence of Infinitely Narrow Solitons in Gas Dynamics
    • Maslov, V. P. and Tsupin, V. A., Necessary Conditions for the Existence of Infinitely Narrow Solitons in Gas Dynamics, Dokl. Akad. Nauk SSSR, 1979, vol. 246, no. 2, pp. 298-300.
    • (1979) Dokl. Akad. Nauk SSSR , vol.246 , Issue.2 , pp. 298-300
    • Maslov, V.P.1    Tsupin, V.A.2
  • 40
    • 0002083761 scopus 로고
    • Asymptotic Solitonlike Solutions of Equations with Small Dispersion
    • Maslov, V. P. and Omel'yanov, G. A., Asymptotic Solitonlike Solutions of Equations with Small Dispersion, Uspekhi Mat. Nauk, 1981, vol. 30, no. 3, pp. 63-126.
    • (1981) Uspekhi Mat. Nauk , vol.30 , Issue.3 , pp. 63-126
    • Maslov, V.P.1    Omel'yanov, G.A.2
  • 42
    • 0002587516 scopus 로고
    • Finite-Zone Almost Periodic Solutions in WKB-Approximations
    • Moscow: VINITI
    • Dobrokhotov, S. Yu. and Maslov, V. P., Finite-Zone Almost Periodic Solutions in WKB-Approximations, Sovremennye problemy matematiki, vol. 15, Moscow: VINITI, 1980, pp. 3-94.
    • (1980) Sovremennye Problemy Matematiki , vol.15 , pp. 3-94
    • Dobrokhotov, S.Yu.1    Maslov, V.P.2
  • 43
    • 0040755283 scopus 로고
    • Multiphase Asymptotics of Nonlinear Partial Equations with a Small Parameter
    • Harwood Acad.
    • Dobrokhotov, S. Yu. and Maslov, V. P., Multiphase Asymptotics of Nonlinear Partial Equations with a Small Parameter, Math. Phys. Rev., vol. 3. Harwood Acad., 1982, pp. 221-311.
    • (1982) Math. Phys. Rev. , vol.3 , pp. 221-311
    • Dobrokhotov, S.Yu.1    Maslov, V.P.2
  • 44
    • 0000408995 scopus 로고
    • The Inverse Scattering Transform
    • Bullough, R. K. and Caudrey, P. J., Eds., Berlin: Springer
    • Newell, A. C., The Inverse Scattering Transform, Solitons. Topics in Current Physics, Bullough, R. K. and Caudrey, P. J., Eds., Berlin: Springer, 1980, vol. 17, pp. 177-242.
    • (1980) Solitons. Topics in Current Physics , vol.17 , pp. 177-242
    • Newell, A.C.1
  • 45
    • 0000983519 scopus 로고
    • The Inverse Scattering Method
    • Bullough, R. K. and Caudrey, P. J., Eds., Berlin: Springer
    • Zakharov, V. E., The Inverse Scattering Method, Solitons. Topics in Current Physics, Bullough, R. K. and Caudrey, P. J., Eds., Berlin: Springer, 1980, vol. 17, pp. 243-285.
    • (1980) Solitons. Topics in Current Physics , vol.17 , pp. 243-285
    • Zakharov, V.E.1
  • 46
    • 0003124126 scopus 로고
    • Energy Transfer between External and Internal Gravity Waves
    • Ball, F. K., Energy Transfer between External and Internal Gravity Waves, J. Fluid Mech., 1964, vol. 19, no. 3, pp. 465-478.
    • (1964) J. Fluid Mech. , vol.19 , Issue.3 , pp. 465-478
    • Ball, F.K.1
  • 48
    • 0004054170 scopus 로고
    • Third printing, with addenda and corrections. Frontiers in Physics: A lecture note and reprint volume, msterdam: Benjamin
    • Bloembergen, N., Nonlinear Optics, Third printing, with addenda and corrections. Frontiers in Physics: A lecture note and reprint volume, vol. 21 ,msterdam: Benjamin, 1977.
    • (1977) Nonlinear Optics , vol.21
    • Bloembergen, N.1
  • 52
    • 0003783063 scopus 로고
    • Moscow: Nauka, translated, Moscow: Mir
    • Maslov, V. P., Operational Methods, Moscow: Nauka, 1973; translated, Moscow: Mir, 1976.
    • (1973) Operational Methods
    • Maslov, V.P.1
  • 53
    • 0040353506 scopus 로고
    • Nonstandard Characteristics in Asymptotic Problems
    • Maslov, V. P., Nonstandard Characteristics in Asymptotic Problems, Uspekhi Mat. Nauk, 1983, vol. 38, no. 6, pp. 3-36.
    • (1983) Uspekhi Mat. Nauk , vol.38 , Issue.6 , pp. 3-36
    • Maslov, V.P.1
  • 59
    • 0014829585 scopus 로고
    • Guided-Wive Theory of Light Diffraction by Accustic Microwaves
    • Chu, R. S. and Tamir, T., Guided-Wive Theory of Light Diffraction by Accustic Microwaves, IEEE Trans. Micr. Theory Tech. MTT., 1970, vol. 18.
    • (1970) IEEE Trans. Micr. Theory Tech. MTT. , vol.18
    • Chu, R.S.1    Tamir, T.2
  • 60
    • 0001275889 scopus 로고
    • Stimulated Brillouin Scattering and Coherent Generation of Intense Hypersonic Waves
    • Chiao, R., Townes, C. H., and Stoicheff, B., Stimulated Brillouin Scattering and Coherent Generation of Intense Hypersonic Waves, Phys. Let., 1964, vol. 12, p. 592.
    • (1964) Phys. Let. , vol.12 , pp. 592
    • Chiao, R.1    Townes, C.H.2    Stoicheff, B.3
  • 62
    • 0019638054 scopus 로고
    • Dynamic Nonlinear Optical Processes in Semi-Conductors
    • Miller, D. A. B. and Smith, S, D., Dynamic Nonlinear Optical Processes in Semi-Conductors, Advantages in Physics, 1981, vol. 30, no. 6, pp. 697-800.
    • (1981) Advantages in Physics , vol.30 , Issue.6 , pp. 697-800
    • Miller, D.A.B.1    Smith, S.D.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.