It was proposed that a new method based on that double lines were excited by means of laser wavelength scanning and intensity of broad band fluorescence was expressed with spectral integral.

The field distributions in regions of partial reflection, totally internal reflection and critical reflection aie evaluated by this method, and compared with the results from plane wave spectral integral.

In this paper, plane wave spectral integral is used as a standard reference and the "distance" defined by norm in L2 space is introduced as the error function for comparison between the two methods, and then the error characteristics of complex ray expansion appoach for target scattering field computation are obtained. The way to decrease the error and the application range of the complex ray expansion method are also obtained.

It is found that there are similarities in terms of spectral integral among the wind input source terms given by Jeffreys, Sverdrup and Munk, and Plant and among the wave breaking dissipation source terms given by Tsikunov,Hasselmann and Philips,although the original forms and the physical considerations of these source terms are significantly different.

In the process of analysis, the concept of reaction is used toobtain the input impedance in the spectral domain, the spectral integral is calculated by the residuemethod and the integral method through deformed path, and the latter is more effective.

A compositive model of electromagnetic scattering by the plate and random rough surface is established in this paper. The primary scattering field of the plate target is represented with a spectral integral of the induced currents.

Under the first order approximate condition, there was the direct ratio between the coal seam thickness of a typical thin layer and seismic trace spectral integral representation, and it exits the inverse ratio relation with the first order spectral moment method. Only based on the constraint conditions with the some known seam thickness, can and the correction coefficients be gained.

The waves are decomposed into their spectra by interchanging the boundary integral and spectral integral or summation for the Green's function.

In addition to the usual spectral integral, a constant term appears which modifies the asymptotic behaviour.

The propagator is spectrally represented and the square diagram with full propagator insertion is expressed as a spectral integral of square diagrams over an internal mass variable.

Based on spectral integral equation formulation, approximate and analytical expression for spatial microstrip current is obtained.

We continue the investigation of mesons in terms of the spectral integral equation initiated before for the

Huyghens' principle is extended into complex space by complex ray theory, and a simple method for wave field computation is developed As an example, an isotropic cylindrical seismic wave (harmonic or transient) reflected at a plane interface is considered. The field distributions in regions of partial reflection, totally internal reflection and critical reflection aie evaluated by this method, and compared with the results from plane wave spectral integral. It is shown that complex ray expansion can take...

Huyghens' principle is extended into complex space by complex ray theory, and a simple method for wave field computation is developed As an example, an isotropic cylindrical seismic wave (harmonic or transient) reflected at a plane interface is considered. The field distributions in regions of partial reflection, totally internal reflection and critical reflection aie evaluated by this method, and compared with the results from plane wave spectral integral. It is shown that complex ray expansion can take care of the field singularity in the transition region automatically. Therefore, the method may be employed to deal with the complicated wave-field analyses and syntheses in focal, caustic, and transition regions with simplified numerical calculations.

Huyghens principle is extended into complex space by complex ray theory,and a simple method for wavefield computation is developed.As an example,an isotropiccylindrical wave reflected at a plane interface is considered.The field distributions in re-gions of partial reflection,totally internal reflection and critical reflection are evaluatedby this method,and compared with the results from planewave spectral integral.It isshown that complex Huyghens' principle can uniform the field singularity in the transitionregion...

Huyghens principle is extended into complex space by complex ray theory,and a simple method for wavefield computation is developed.As an example,an isotropiccylindrical wave reflected at a plane interface is considered.The field distributions in re-gions of partial reflection,totally internal reflection and critical reflection are evaluatedby this method,and compared with the results from planewave spectral integral.It isshown that complex Huyghens' principle can uniform the field singularity in the transitionregion automatically.Therefore,the method may be employed to deal with thecomplicated wavefield analyses and syntheses in focus,caustic and transition regions.

Na5Eu(MoO4)4 like Na6Eu(WO4)4 is a kind of good stoichiometric host luminescent material having high concentration of Eu3+ and no concentration quenching effect.The power crystals Na5Eu(MoO4)4 and NaEu(MoO4)2 have been synthesized. According to differential thermal and X-ray diffraction analyses, a phase diagram of the system Na2MoO4-Eu2(MoO4)3 has been determined.The methods for synthesizing pure Na5Eu(MoO4)4 and NaEu(MoO4)2 have been determined. It shows that Na5Eu(MoO4)4 will not be dissociated to NaEu(MoO4)2...

Na5Eu(MoO4)4 like Na6Eu(WO4)4 is a kind of good stoichiometric host luminescent material having high concentration of Eu3+ and no concentration quenching effect.The power crystals Na5Eu(MoO4)4 and NaEu(MoO4)2 have been synthesized. According to differential thermal and X-ray diffraction analyses, a phase diagram of the system Na2MoO4-Eu2(MoO4)3 has been determined.The methods for synthesizing pure Na5Eu(MoO4)4 and NaEu(MoO4)2 have been determined. It shows that Na5Eu(MoO4)4 will not be dissociated to NaEu(MoO4)2 when Na2MoO4 is excessive and the ratio of molal concentration of Na2MoO4 to Eu2O3 is more than about 8 : 1 at sintering temperature lower than 700℃.Both of Na5Eu(MoO4)4 and NaEu(MoO4)2 crystallize in the schee-lite structure type and belong to the tetragonal crystal system. The X--ray powder diffraction pattern of NaEu(MoO4)2 was indexed in a"pure" scheelite cell with parameters α = 0.5236nm and c = 1.1439nm (dcalc = 5.24g/cm3, z=2, space group I4,/α). Thus, the entire series of NaEu (MoO4)2 compounds is isostructural. But all of the X-ray powder diffraction lines of Na5Eu(MoO4)4 can only be indexed in the enlarged scheelite cell with parameters α = 1.1439nm and c = 1.1486nm (dcaic= 4.01g/cm3, z=4, space group I41/α). In this paper, the cation distribution in the unit cell of both compounds is discussed.The purity of Na5Eu(MoO4)4 and NaEu(MoO4)2 samples can be determined sensitively by the intensity analysis of main peaks of the two compounds by X-ray diffraction mathod.The excitation and emission spectra of both compounds have been determined. The emission lines belong to 5D0 to 7Fi transitions of Eu 3+ and the main emission peaks of 6D0 to 7F2(E) and 7F2(B) are 617.4 and 613. 1nm for Na5Eu(MoO4)4, and 615.6 and 612.7nm for NaEu (MoO4)2, respectively. According to this, the purity of the two compounds can also be determined by luminescent spectrum method. The emissions of 5D2 to 7Fi and 5D1 to 7Fi of Eu3+ are not observed at room temperature. The reason might be that a strong double or triple phonon nonradiation transition occurs on the transition of 5D1to 5D0 or 5D2 to 5D1, because the energy difference between 5D1 to 6D0 or 5D2 to 5D1 is about twice or triple of streching vibration phonon energy of MoO42-, according to Raman spectrum analyses of these compounds.The spectral integral brightness of Na5Eu(MoO4)4 is much higher than that of Na5Eu(WO4)4 under 365nm excitation at room temperature. In our case, the ratio of the integral brightness of Na5Eu(MoO4)4 to NaEu(MoO4)2 and to Na5Eu(WO4)4 is 3.8:3.2:1.0.