By means of improved ligand-field theory, the ＂pure electronic＂ pressure-induced shifts （PS＇s） and the PS＇s due to electron-phonon interaction （EPI） of R1 line and R2 line of YAG：Cr^3＋ have been calculated, ...By means of improved ligand-field theory, the ＂pure electronic＂ pressure-induced shifts （PS＇s） and the PS＇s due to electron-phonon interaction （EPI） of R1 line and R2 line of YAG：Cr^3＋ have been calculated, respectively. The calculated results are in very good agreement with the experimental data. It is demonstrated that the admixture of │t^2 2（^3T1）e^4T2〉 and │t^3 2 ^2E〉 bases in the wavefunction of RI level of YAG：Crs＋ and its change with pressure play a key role for the PS of RI line. The behaviors of the ＂pure electronic＂ PS of RI line and the PS of RI line due to EPI are different. It is the combined eEect of them that gives rise to the total PS of R1 line, which has satisfactorily explained the experimental results. The systematic analyses and comparisons between the feature of R1-line PS of YAG：Cr^3＋ and the ones of three laser crystals （GSGG：Cr^3＋, GGG：Cr^3＋ and ruby） have been made, and the origin of the difference between them has been revealed.展开更多
As a key factor leading to the pressure-dependent R1-line-shift reversal and R1-state lifetime, at 10 K, the pressure-dependent variation of mixing-degree of ｜t2^2（^3T1）e^4T2） and ｜t2^32E〉 base-wavefunetions in ...As a key factor leading to the pressure-dependent R1-line-shift reversal and R1-state lifetime, at 10 K, the pressure-dependent variation of mixing-degree of ｜t2^2（^3T1）e^4T2） and ｜t2^32E〉 base-wavefunetions in the wavefunction of R1 state of LLGG：Cr^3＋ has been calculated and analyzed. From this, the physical origin of the pressure-dependent R1-line-shift reversal has been revealed. Furthermore, by using the pressure-dependent values of the sum of all square mixlng-coefficients of ｜t2^2 （^3T1）e^4T2〉 in the wavefunction of R1 state, the lifetimes of R1 state of LLG G：Cr^3＋ at various pressures have been calculat, ed, which arc in good agreement with observed results. The quantum anticrossing effect between t2^32E and t2^2 （^3T1）e^4T2 levels due to both spin-orbital interaction and electron-phonon interaction is remarkable, which is related to the admixture of ｜t2^2（^3T1）e^4T2） and ｜t2^32E〉 as well as the low high crystal-field transition.展开更多
By means of an improved ligand-field theory, the ＂pure electronic＂ PS and the PS due to EPI of R line of MgO： V^2＋ have been calculated, respectively. The calculated results are in very good agreement with the exp...By means of an improved ligand-field theory, the ＂pure electronic＂ PS and the PS due to EPI of R line of MgO： V^2＋ have been calculated, respectively. The calculated results are in very good agreement with the experimental data. The behaviors of the pure electronic PS of R line of MgO：V^2＋ and the PS of its R line due to EPI are different. It is the combined effect of them that gives rise to the total PS of R line, which has satisfactorily explained the experimental results. The mixing-degree of ｜t2^2（^3T1）e^4T2〉 and ｜t2^3 ^2E〉 in the wavefunetion of R level and its variation with pressure have been calculated and analyzed. The comparison between the feature of R-line PS of MgO：V^2＋ and that of MgO：Cr^3＋ has been made.展开更多
Terra SAR-X图像的几何校正和辐射定标对于获取地面目标高精度地理位置信息和辐射特征具有重要意义。采用距离-多普勒间接定位模型和仿射校正模型进行SAR影像几何校正,同时完成地形辐射校正并对辐射定标精度进行验证。距离向和方位向上...Terra SAR-X图像的几何校正和辐射定标对于获取地面目标高精度地理位置信息和辐射特征具有重要意义。采用距离-多普勒间接定位模型和仿射校正模型进行SAR影像几何校正,同时完成地形辐射校正并对辐射定标精度进行验证。距离向和方位向上达到了约0.3 m和0.4 m的几何定位精度;相对辐射定标精度优于0.3 d B,绝对辐射定标精度为0.22 d B,所以该模型能达到方法较高的精度且简单快捷。展开更多
In the present paper, a new difference matrix via difference operator D is introduced. Let x = （xk） be a sequence of real numbers, then the difference operatorD is defined by D（x）n =∑kn=0（-1）k（n-kn）xk,where ...In the present paper, a new difference matrix via difference operator D is introduced. Let x = （xk） be a sequence of real numbers, then the difference operatorD is defined by D（x）n =∑kn=0（-1）k（n-kn）xk,where n = 0,1,2,3,.... Several interestingproperties of the new operator D are discussed.展开更多
Based on the potential-hybrid/mixed finite element scheme, 4-node quadrilateral plate-bending elements MP4, MP4a and cylindrical shell element MCS4 are derived with, the inclusion of splitting rotations. All these ele...Based on the potential-hybrid/mixed finite element scheme, 4-node quadrilateral plate-bending elements MP4, MP4a and cylindrical shell element MCS4 are derived with, the inclusion of splitting rotations. All these elements demonstrate favorable convergence behavior over the existing counterparts, free from spurious kinematic mode's and do not exhibit locking phenomenon in thin platef shell limit. Inter-connections between the existing modified variational functionals for the use of formulating C0-and C1-continuous elements are also indicated. Important particularizations of the present scheme include Prathop's consistent field formulation, the RIT/SRIT-compatible displacement model and so on.展开更多
文摘By means of improved ligand-field theory, the ＂pure electronic＂ pressure-induced shifts （PS＇s） and the PS＇s due to electron-phonon interaction （EPI） of R1 line and R2 line of YAG：Cr^3＋ have been calculated, respectively. The calculated results are in very good agreement with the experimental data. It is demonstrated that the admixture of │t^2 2（^3T1）e^4T2〉 and │t^3 2 ^2E〉 bases in the wavefunction of RI level of YAG：Crs＋ and its change with pressure play a key role for the PS of RI line. The behaviors of the ＂pure electronic＂ PS of RI line and the PS of RI line due to EPI are different. It is the combined eEect of them that gives rise to the total PS of R1 line, which has satisfactorily explained the experimental results. The systematic analyses and comparisons between the feature of R1-line PS of YAG：Cr^3＋ and the ones of three laser crystals （GSGG：Cr^3＋, GGG：Cr^3＋ and ruby） have been made, and the origin of the difference between them has been revealed.
文摘As a key factor leading to the pressure-dependent R1-line-shift reversal and R1-state lifetime, at 10 K, the pressure-dependent variation of mixing-degree of ｜t2^2（^3T1）e^4T2） and ｜t2^32E〉 base-wavefunetions in the wavefunction of R1 state of LLGG：Cr^3＋ has been calculated and analyzed. From this, the physical origin of the pressure-dependent R1-line-shift reversal has been revealed. Furthermore, by using the pressure-dependent values of the sum of all square mixlng-coefficients of ｜t2^2 （^3T1）e^4T2〉 in the wavefunction of R1 state, the lifetimes of R1 state of LLG G：Cr^3＋ at various pressures have been calculat, ed, which arc in good agreement with observed results. The quantum anticrossing effect between t2^32E and t2^2 （^3T1）e^4T2 levels due to both spin-orbital interaction and electron-phonon interaction is remarkable, which is related to the admixture of ｜t2^2（^3T1）e^4T2） and ｜t2^32E〉 as well as the low high crystal-field transition.
文摘By means of an improved ligand-field theory, the ＂pure electronic＂ PS and the PS due to EPI of R line of MgO： V^2＋ have been calculated, respectively. The calculated results are in very good agreement with the experimental data. The behaviors of the pure electronic PS of R line of MgO：V^2＋ and the PS of its R line due to EPI are different. It is the combined effect of them that gives rise to the total PS of R line, which has satisfactorily explained the experimental results. The mixing-degree of ｜t2^2（^3T1）e^4T2〉 and ｜t2^3 ^2E〉 in the wavefunetion of R level and its variation with pressure have been calculated and analyzed. The comparison between the feature of R-line PS of MgO：V^2＋ and that of MgO：Cr^3＋ has been made.
文摘Terra SAR-X图像的几何校正和辐射定标对于获取地面目标高精度地理位置信息和辐射特征具有重要意义。采用距离-多普勒间接定位模型和仿射校正模型进行SAR影像几何校正,同时完成地形辐射校正并对辐射定标精度进行验证。距离向和方位向上达到了约0.3 m和0.4 m的几何定位精度;相对辐射定标精度优于0.3 d B,绝对辐射定标精度为0.22 d B,所以该模型能达到方法较高的精度且简单快捷。
文摘In the present paper, a new difference matrix via difference operator D is introduced. Let x = （xk） be a sequence of real numbers, then the difference operatorD is defined by D（x）n =∑kn=0（-1）k（n-kn）xk,where n = 0,1,2,3,.... Several interestingproperties of the new operator D are discussed.
文摘Based on the potential-hybrid/mixed finite element scheme, 4-node quadrilateral plate-bending elements MP4, MP4a and cylindrical shell element MCS4 are derived with, the inclusion of splitting rotations. All these elements demonstrate favorable convergence behavior over the existing counterparts, free from spurious kinematic mode's and do not exhibit locking phenomenon in thin platef shell limit. Inter-connections between the existing modified variational functionals for the use of formulating C0-and C1-continuous elements are also indicated. Important particularizations of the present scheme include Prathop's consistent field formulation, the RIT/SRIT-compatible displacement model and so on.
