Optical characteristics of thin film carbon-palladium (C-Pd) nanocomposites are analysed theoretically. The multinanolayer model is used to explain its specific optical spectral properties. For analysis an advanced electrodynamical method of single expression is used what is able to perform analysis not only for linear but also nonlinear (intensity depended) boundary problems solution.
The principles of the method of single expression (MSE) for boundary problems solution in classical electrodynamics are presented. In the MSE the solution of the Helmholtz's equation is presented in the special form of a single expression describing resultant amplitude and phase distributions in the medium. This form of solution presenation permits to pass over the restrictions of the superposition principle and to solve both linear and nonlinear problems with ths same ease. In the MSE the Helmholtz's equation is reformulated to the set of first order differential equations and the boundary problem is solved numerically. No approximations are implied either in Helmholtz's equation or in boundary conditions. Using the MSE steady-state boundary problems are modeled for wavelength scale multilayer and modulated 1D photonic structures including amplification and nonuniformity evoked by intense electromagnetic field.
An advanced non-traditional method of single expression (MSE) is applied to simulate optical functionality of 1D VCSEL type structures. In the MSE Helmholtz’s equation solution is presented in the generalized form of a single expression, contrary to the widely accepted counter-propagating waves presentation. Main principles of the MSE are briefly described. VCSEL type structure consisting of two stacks of distributed Bragg reflectors (DBRs) and a single dielectric layer between them is considered. DBRs are presented as quarter-wavelength dielectric bilayers of alternating high and low indices. Spectral dependences of VCSEL type structure when amplification is absent and included in a single dielectric layer are obtained versus the normalized thickness of a single dielectric layer. Spatial distributions of electric field amplitude, real part of permittivity and power flow density along the structure are presented for minimal and maximal transmission of the structure. By attaining gain some specific value the lasing state of VCSEL type structure is observed.
An advanced non-traditional method of single expression (MSE) is used to analyze uniform and phase-shifted amplifying fiber Bragg gratings (FBGs). In the MSE Helmholtz's equation solution is presented in the generalized form of a single expression, contary to the widely accepted counter-propagating waves approach. Brief description of the principal statements of the MSE is presented. Uniform FBGs and FBGs with π phase shift in the middle of the structure are considered. Spectral dependences of gainless and amplifying uniform and π phase-shifted FBGs are obtained. Spatial distributions of the electric field amplitude, real part of permittivity and power flow density along the structure of FBG and in outside media are presented at central point of transparency. Simulations carried out on amplifying π phase-shifted FBGs showed that they can be used as narrow-band pass-band filter-amplifiers for DWDM systems.
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