[en] In this paper, we study the transmission properties of light through SML quasiperiodic multilayers by means of the electromagnetic wave theory and matrix one. The trace map of propagation matrices, invariant of motion, and the expression for transmission coefficient are obtained. We find that the half of the propagation matrices' traces posses interesting symmetric and antisymmetric properties to the point of θ=π/2. When light transmits normally the multilayers, the propagation matrices exhibit a pseudo-seven-cycle feature and transmission coefficients posses quasi-seven-cycle properties. These analytic results are confirmed by numerical simulations

[en] In this paper we study the splitting rules of the electronic energy spectra for two-dimensional Thue-Morse lattices with three kinds of atom and one bond length by means of a decomposition-decimation method. It is found that the symmetries of systems, boundary conditions, and then the branching types of energy spectra for the second and third hierarchies are all related to generations. For example, under the second-order approximation, the energy spectra of four-atom A molecules split in the proportion of one-to-five for even generations and one-to-three for odd ones. The analytical results are confirmed by numerical simulations

[en] In this paper, we investigate the light transmission through GF(m,n) multilayers and obtain formulae for propagation matrices and transmission coefficients. It is found that the light transmission exhibits some interesting invariant coefficients and circular characteristics for corresponding m and n. The analytical results are confirmed by numerical simulations

[en] The local-field distribution and optical absorption from the intersubband transitions in semiconductor Poeschl-Teller quantum wells are investigated with the self-consistent-field methods by taking into account the nonlocal coupling between the polarizability of electrons and the local field. The numerical results show that the local field inside the quantum wells has a strong resonance and the resonant absorption peak appears with a blueshift due to the nonlocal effects. The influence of the quantum well width, the donor concentration and the angle of incidence on the blueshift, and the local-field correction is clarified. In addition, it is demonstrated that the optical spectra show a strong dependence on the intensity of the incident light. These optical properties may be instructive for future precise experiments and practical applications in optical devices

[en] Based on the extended Huygens–Fresnel integral, the average intensity, the gradient force and the effective beam width in the x- and y-directions of a rotating elliptical Gaussian (REG) beam in the turbulent atmosphere and the oceanic turbulence are explored analytically and numerically. It is shown that the intensity patterns of the REG beam in the atmospheric and the oceanic turbulences spin anticlockwise within a certain propagation range and always keep unimodal distributions during the propagation. Meanwhile, the numerical experiments of the REG beam are carried out to verify the theoretical analytical results. By comparative analysis, the effective beam widths can be adjusted by varying the turbulent characteristic parameters and the initial beam waist of the REG beam. The intensity modulation of the REG beam through the turbulent atmosphere and the oceanic turbulence can be realized.

[en] In this paper, by use of a nonlinear chirping method with a Gaussian modulation function and a genetic algorithm (GA) we optimize two kinds of Fibonacci-class (FC) structures, FC₄(11) and FC₄(34) systems. Compared with the corresponding unoptimized FC optical superlattices, the sidelobes in the reflection spectra of these systems can be suppressed remarkably. This shows that our approach is effective for reducing the sidelobes generated by quasiperiodic multilayers and may be extended to periodic and aperiodic optical structures. We use the communication wavelength as the central wavelength; it makes our calculational results useful for designing optical filters and dispersion compensators. (paper)

[en] Optical vortices in anisotropic turbulence media can exhibit propagation dynamics similar to hydrodynamic vortex phenomena. We theoretically research the propagation of higher-order vortices and the polarization characteristic of the radially polarized partially coherent rotating elliptical Gaussian vortex (PCRECGV) beam. We demonstrate that the vortices can change the shape, the pattern and the polarization of the radially polarized PCRECGV beam during the transmission. The peak intensity of the radially polarized PCRECGV beam with various structure constants of the turbulence is elucidated. The influences of the rotation parameter, the beam order parameter, and the initial beam waist on the propagation of a radially polarized PCRECGV beam in anisotropic turbulence are also examined in detail. We find that during the transmission, the vortices in the beam gradually split into multiple vortices and then the vortices of beamlets annihilate as the propagating distance increases. Meanwhile, when the transmission distance is large enough, the radially polarized PCRECGV beam rotates about ${90}^{\circ <!--\; ???\; -->}$ during the propagation. By choosing appropriate parameters of the beam, we can adjust the propagation pattern to the one desired and control the spectral polarization states so as to alleviate the influence of the anisotropic turbulence effectively. The numerical experiments are consistent with the analytic solutions. Our paper provides some cases of one to five vortices in different locations, while the different patterns can be extrapolated to more situations.

[en] We investigate the light transmission through GF(m,2j+1) mutilayers and find that the propagation matrices and the corresponding transmission coefficients exhibit interesting properties. When m is even the propagation matrices are four-cycle and the transmission coefficients are two-cycle, and when m is odd the formulae have been obtained but are very complex. The analytical results are confirmed by numerical simulations

[en] The propagation dynamics of the Airy Gaussian vortex beams in uniaxial crystals orthogonal to the optical axis has been investigated analytically and numerically. The propagation expression of the beams has been obtained. The propagation features of the Airy Gaussian vortex beams are shown with changes of the distribution factor and the ratio of the extraordinary refractive index to the ordinary refractive index. The correlations between the ratio and the maximum intensity value during the propagation, and its appearing distance have been investigated. (paper)

[en] We introduce a class of rapidly autofocused ring Pearcey Gaussian vortex (RPGV) beams based on the Pearcey function of catastrophe theory. The distribution of beams can be adjusted by changing the spatial distribution factor p _S and topological charge m. In particular, by reducing the parameter p _S, the beams can autofocus more quickly, and the peak intensity of beams at the focal point can be increased by dozens of times than that at the initial plane. Further, combining temporal Pearcey Gaussian pulses with spatial RPGV beams, spatiotemporal rapidly autofocused RPGV wavepackets are obtained, and the pulse focal point can always reach the spatial focus by setting well the normalized pulse width w _T, which makes the light intensity of the spatial focal point further improve. (paper)