Nonlinear Waves in Waveguides: With Stratification |
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Page 50
... density matrix ( Sect . 3.3 ) . The boundary conditions in metal or dielectric waveg- uides leads to the physically possible finite - mode case . The nonlocal dispersion operator may appear due to boundary matching of solutions for ...
... density matrix ( Sect . 3.3 ) . The boundary conditions in metal or dielectric waveg- uides leads to the physically possible finite - mode case . The nonlocal dispersion operator may appear due to boundary matching of solutions for ...
Page 71
... density matrix in Sect . 3.3 , Xt + ( v , V ) x = −e ( Ɛ ' , dƒ ° / dp ) = F . ( 4.9 ) The oscillations of the electric charge density determine Ɛ ' div Ɛ ' = 4πе dрx . ( 4.10 ) Supposing that the electromagnetic field represents a ...
... density matrix in Sect . 3.3 , Xt + ( v , V ) x = −e ( Ɛ ' , dƒ ° / dp ) = F . ( 4.9 ) The oscillations of the electric charge density determine Ɛ ' div Ɛ ' = 4πе dрx . ( 4.10 ) Supposing that the electromagnetic field represents a ...
Page 145
... density matrix elements of ( 3.3 ) the basis for H and the interaction operator matrix have to be constructed in this basis . In this case it is necessary to diagonalize the operator H only in the subspace of the vectors | ± ) , since ...
... density matrix elements of ( 3.3 ) the basis for H and the interaction operator matrix have to be constructed in this basis . In this case it is necessary to diagonalize the operator H only in the subspace of the vectors | ± ) , since ...
Contents
Introduction | 1 |
The Discrimination and Interaction | 12 |
3 | 27 |
Copyright | |
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amplitude approximation atmosphere B₁ boundary conditions calculation CKdV coefficients components contribution coordinate denote density density matrix dependence derivation described determined dielectric dispersion branches dispersion equation dispersion relation dissipation distribution function dynamical variables effects electromagnetic electron evolution equations Fiz.Atm.Okean frequency given H₂ hydrodynamical inhomogeneity initial conditions integration internal waves ion-acoustic waves Ionosphere iteration Kaliningrad KdV equation kinetic Langmuir wave layer linear longitudinal waves magnetic field matrix mean field medium method mode interaction Moscow Nauka nonlinear constants nonlinear terms Nonlinear Waves nonlocal oscillations particles perturbation theory physical plasma waves problem projection operators quasisolitons region resonance Rossby waves S.B.Leble scale Sect small parameters soliton solution spectral subspaces substitution taking into account temperature thermoclyne thermoconductivity thermospheric three-wave transformed turbulence vector velocity vertical w₁ wave propagation wave vector waveguide propagation wavelength