A new frame of multi-resolution singular value decomposition (MSVD) was presented and applied into multi-focus image fusion. Based on the principle of blocking algorithm, images involved in fusion were decomposed into one approximation and three detail images with different resolution by singular value decomposition. Combined with reconstruction algorithm of MSVD, the frame of image fusion was given. Compared with image fusion by discrete wavelet transform (DWT), image fusion by MSVD performs better. Moreover, MSVD does not have a fixed set of basis like wavelet, and its basis vectors depend on the image itself. The performance of the result image was evaluated using objective indices. The experimental result shows that not only the proposed method is simple, but also that the visual effect of the image is considerable after reducing blocking artifact. And both the definition and spatial frequency are improved greatly.

By applying the direct symmetry method to a generalized fourth-order dispersive equation, the symmetry reductions, group invariant solutions of this equation were obtained, which included hyperbolic function solutions, trigonometric function solutions and soliton solutions. At last, the conservation laws of this equation were given.

A scheme to generate entanglement in a cavity optomechanical system filled with atomic medium was proposed. If the coupling between the cavity field and atom medium is suitable, the entanglement is obtained between the cavity and movable mirror, between the mirror and atom, as well as between the cavity mode and atom. Furthermore, numerical solutions are given by employing logarithmic negativity to quantify the entanglement including the cavity losses.

Theoretical scheme was presented for generating atom-photon hybrid entangled state with stimulated Raman transition of three-level atoms in Bose-Einstein condensate interacting with a weaker coherent probe light and a stronger classical coupling light. The influences were investigated by the interaction strength between probe laser field and the atoms, two-photon detuning and the interaction strength between the atoms in the ground state. It’s shown that the atom-photon hybrid entangled state with better entanglement can be rapidly generated by increasing the interaction strength between probe laser field and the atoms or decreasing two-photon detuning.

A scheme of two-way teleportation was proposed, with GHZ quadripartite entangled state as quantum channel. Two sides of communication(Alice and Bob) shared two pairs of GHZ quadripartite entangled state in advance. After communication, Alice and Bob performed quantum projection measurement on their own qubits respectively, and announced the measured results via classical channel. Then according to the measured results presented by the other party, Alice and Bob can make appropriate unitary transformations that its own party can reconstruct the opposite quantum state information, and thus the whole two-way teleportation was realized. As long as the both sides of communication chose the suitable GHZ entangled state as quantum channel and distributed the entangled partites imparity and properly in advance, two-way teleporting including unknown general one qubit and two qubits entangled Bell state or three qubits entangled GHZ state could be realized respectively.

A scheme of two-way quantum teleportation was proposed via Ω quadripartite entangled state as quantum channel to teleport unknown general one or two qubit and restricted three qubit state. First of all, two sides of communication, which are far away from each other, share two pairs Ω of quadripartite entangled state in advance. The entangled state will present some special characteristics, which are different from the general two particles when the number of the particles is more then 3. This multi-particle entangled state is called as cluster state which shows higher correlation and concurrence. Just in time, as one of the cluster state, quadripartite entangled state Ω is very suitable as quantum channel. When communicating, two sides perform the quantum projection measuresment with the appropriate orthogonal basis vectors, separately. Then they send the measurement results to each other by the classical channel. The two sides can choose appropriate unitary operation on his own qubits according to the obtained measurement results to obtain the unknown state, respectively.

Effect of the initially atom coherence on the two-mode-entanglement of three-level atom in cascade configuration was studied, according to the entanglement criterion proposed by Duan et al. The result shows that, entanglemengt of two-mode cavity field can be induced only when the atom coherence exists. If gain coefficient is unchanged, the degree of entanglement firstly increases and then decreases with the increase of detuning. In certain detuning circumstances, the degree of entanglement of two-mode cavity field increases with the increase of gain coefficient. If detuning is zero, the entanglemengt of two-mode cavity field can’t be created, no matter whether the atomic coherence exists or not.

A scheme of controlled dense coding was proposed by using non-symmetric quantum channel in 3×2×2 dimensional entangled state. The collapse of the state and entanglement between Alice and Bob were controlled by Charlie’s local measurement on his particle in two dimension. Then the 3×2 dimensional non-symmetric quantum channel was controlled. It can be seen that the average amount of transmitted information of dense coding was controlled by Charlie’s measurement angle. One can find that the average amount of information is more than 2 bits by using maximally entangled state in the non-symmetric quantum channel. Thus, this scheme is high-efficiency. In the case the entanglement is non-maximally, the transmitted information is determined by the measurement angle θ and the coefficient β of the entangled state.

The teleportation of two-mode continuous variables was performed by using two two-mode squeezed vacuum states served as quantum channel. The average fidelity and the probability density were calculated for teleportation of a two-mode squeezed vacuum state. The results indicate that increased squeezing of teleported state will lead to a loss of fidelity. The probability density of measuring result consists of the product of two bivariate normed density functions, and it shows that when the average fidelity goes up, the probability of obtaining large measurement value also increases.

An imperfect quantum sealing protocol was studied, and an inequality based on the readability α which Bob can measure the information and security β which Alice can detect the information to be measured was provided. The results show that, when the security β is not greater than 1/2, the sum of readability α and security β is not greater than 9/8. Finally, the inequality was proved through a specific example.

A scheme for generating spin squeezed state with Mach-Zehnder interferometer was presented and influencing of the phase difference between two interfering paths on spin squeezing parameter was also investigated. It’s shown that spin squeezing occurs at the direction normal to mean spin direction and y axis and the spin squeezed state can be effectively generated by adjusting the phase difference between two interfering paths and decreasing the population difference between two interfering paths.

The plane wave expansion method was used to explore the photonic band-gap characteristics of two kinds of photonic crystal structure under rotation operation. Two different kinds of photonic crystal structure were constructed and the band-gap characteristics of these two kinds of structure were compared. The effect of the rotation operation on the band gap of two kinds of structure in TE mode respectively was discussed. It’s found that the distribution of medium column in x-z plane together influence TE mode band gaps. According to the result of calculation, the reason of the influence on the band gap characteristics was analyzed, and the angle range of the optimum band gap was given. It has better theoretical guiding significance on producing photonic crystal of good performance.

The interaction between one-order self-Fourier soliton and one-order standard soliton signal in optical fibers was studied numerically. The method used are split-step Fourier transform method. There is not any theoretical error in the inner part of algorithm in the method. The results show that if the two solitons have the same one-order and different amplitudes, third order dispersive effect induce the different time delay. The short range interaction of soliton further changes group velocity of soliton. Solitons are accelerated according to their orientation.

Numerical solutions of Schrdinger equation have become increasingly important because of the tremendous demands for the design and optimization of nanodevices where quantum effects are significant or dominate. Using the three-order symplectic integrators and fourth-order collocated spatial differences, a high-order symplectic finite-difference time-domain (SFDTD) scheme is proposed to solve the time-dependent Schrdinger equation. A detailed numerical study on 1 D quantum eigenvalue problems is carried out. Compared with FDTD(2,2) and FDTD(2,4), the simulation results of quantum wells and harmonic oscillators strongly confirm that the explicit SFDTD scheme is well suited for a long-term simulation.

The inversion algorithm of differential image collumn motion(DCIM) lidar measuring turbulence profile was proposed based on generalized Hufnagel-Valley model. The smoothing function of data was derived. Through numerical simulation of HV 5/7 model, some results were obtained. Without random error, the maximum difference between the inversion profile and HV 5/7 model profile is about 0.00order of magnitude. The absolute relative errors of r0 and the whole layer θ calculated by the inversion profiles are both less than 0.5%. With 10% random errors, the maximum difference between the inversion profiles and HV 5/7 model profile is about 0.5 order of magnitude below 20 km while it is bigger than 20 km. The absolute relative errors of r0 and the whole layer θ computed by the inversion profile are less than 10% and 5%. So it meets the actual application of laser propagation in the atmosphere. The smoothing function is suitable for practical application because it does not affect the distribution of the inversion profile with height. Finally, the universality of the algorithm was verified and the algorithm can be used to DCIM lidar to get profile.

A high-speed data acquisition system based on “FPGA+DSP” for echo signal sampling of lidar was proposed. FPGA in the system samples four channels signal simultaneously, cumulates and caches it. DSP reads into data and then average them, after retrieving by a certain algorithm, then transmite to the remote PC by the protocol of TCP/IP. Satisfactory results were obtained when the data acquisition system was applied in a Mie scattering laser radar. Results show that the system can sample the echo signal repeating at 1 kHz by a frequency of 20 MHz, and it can accumulate the corresponding data more than 5000 times, which meet the special features of lidar data acquisiton. The data acquisition system is worth popularizing in the multispectral lidar and the high spectral resolution lidar for features of cost-effective, portable, and can share the data remotely.

In order to implement the community electromagnetic security detection, a new type of distributed interferometric fiber optic vibration sensor was developed. The photosensitive fiber was based on M-Z interference by using interference detection cable vibration to establish perimeter detection sensors. When there is external disturbances of sensing optical fiber, interference fringe will produce significant change therefore the perimeter security early warning. Experiments were carried out on the frequency of 13.0678 Hz and 20.012 Hz triangle wave modulation signals respectively. Results show that the interferometric disturbance detection system is very effective. As long as there is a slight cable movements, waveform will produce significant change. The system is proved to be effective to distinguish between presence of external disturbances, which is of great significance to fiber safety.

In order to investigate cellular compatibility of hydroxyapatite(HA) target sintered at high temperature, the powder of 99% pure hydroxyapatite was pressed to discal targets and the targets were sintered at 800
C in argon ambience. The microstructure and composition of targets were detected with X-ray diffractometer(XRD) and X-ray photoelectron spectroscopy(XPS). The cellular compatibility of targets was detected with methyl thiazolyl tetrazolium(MTT). The experimental result demonstrates the chemical composition of targets was not changed while the powder of hydroxyapatite was pressed to targets and the targets were sintered at 800
C in argon ambience. The average particle diameter in target was 78.2 nm, the crystallinity in target was 89.4% and the ratio of Ca to P in target was 1.592. The hydroxyapatite target sintered at 800
C had cellular compatibility.

The electronic states and electrical transport properties of the Cu doped wurrite type ZnO were investigated by the plane wave ultro-soft seudo-potentials based on the density functional theory calculations. The calculational results show that the Cu doped wurrite type ZnO has approximately 0.6 eV direct band gap and it is p type semiconductor, there are newly formed bands within the valence bands and conducting bands that are from the electons of dopant Cu. The bands near Fermi level are formed by the Cu p, Cu d as well as the O p state electrons and there are high interactions between them. The analyzing results of the electrical transport properties show that carriers within the valence bands have heavy effective mass and the carriers within the conduction bands have light effective mass for the Cu doped wurrite type ZnO. The carrier transport process is estimated to be accomplished by the Cu p, Cu d as well as the O p state electrons. Furthermore, the energy gap for electron or hole carriers to surpass is narrowed by Cu doping for Zn.

Indoor visible light communication technology is based on white light-emitting diode (LED) light source of optical wireless communication technology. At the airport, hospitals and other places where there are strict limits of electromagnetic interference, the technology can replace the radio communications, which has profound application prospects. Considering the influence of the wall reflections during the indoor visible light transmission, the indoor visible light illumination distribution was obtained by experimental measurements in a room of 4.0 m×4.0 m×2.8 m. It can be concluded that the light source of the optical signal reflected by the wall produces severe multipath effects, and then limits the communication rate. The experimental verification of indoor visible light distribution and simulation research was carried out. Moreover, the results of the experiment nearly agree with the theoretical simulation.