An expression of thermal resistance matrix is given.Transient temperature characteristics of three-dimensional chip-muhiprocessors(3D-CMP) are studied.Effect of heat capacity,thermal resistance and power consumption on temperature is analyzed. It shows that steady temperature of 3D-CMP is limited effectively by reducing thermal resistance and power consumption.Heat capacity influences rise time of temperature.It does not affect steady temperature.

With through silicon via(TSV) area scale factor r,an analytical thermal model for top layer of three-dimensional integrated circuits(3D IC) taking TSV into account was proposed.It is shown that temperature is lower after considering TSVs under same working conditions;the greater the scale factor r,the lower the temperature is;For more layers and smaller r,temperature increases sharply with decrease of r;The best range of TSV area ratio factor r is 0.5% to 1% for an 8-layer 3D IC.

With analysis on physical characteristics of heat transfer in zone method,mathematical-physical characteristics are considered for main-variable correction in zone method.Detailed principle and solution procedure of main-variable correction method is introduced. It is compared with other methods with a typical example.It shows that the main-variable correction method is more reliable and applicable.

A simple method to calculate electrostatic fields of ion optical system and trajectories of ions in the field is discussed.The optimization methods to save disk space and accelerate the calculation process are given under condition of maintaining the calculation precision.A feasible method for searching the over-relaxation factor is present.The calculation method is applied to the calculation of a design of gridless high-resolution reflectron time-of-flight mass spectrometer.The results of the distribution of electrostatic fields,the ion trajectories and the best conditions of the fields are present.The system is adjusted to its fairly good working condition based upon these results,and mass spectra with much higher resolution are observed.