Resonator parameters and thermo-stability conditions for plane-plane resonator of multi-rod series connection solid-state lasers were investigated by means of matrix optics.

n this paper,the general equations of a double-diffusive system with constant and variable temperature gradient and salinity gradient are presented, and the periodic variations of temperature and salinity at the boundary of nonconvective zone (NCZ) and lower convective zone(LOZ) are introduced, Especially, the thermal stability criterion of a fully-saturated solar pond is proposed.

Based on the strict academic analyses and proof, a new stable condition of the passivity-based control system is proposed.

The stable condition of multi wavelength optical cavities is discussed by the method of ray pulse matrices, and the formula of net GVD is deduced.

By using stable conditions and misalignement sensitivity D of optical resonators, optimization of low-loss cavity parameters in the exponential decay reflectivity measurement method is investigated.

An improved analyzing way of the stability condition about a liner time-invariant SISO system;

On the basis of high-order shape function of displacement containing frequency factor, the dispersion equation of wave propagation in finite element meshes is derived from two -dimensional wave equation, and based on it, the wave motion stability condition is proposed.

The stability condition is r(or r≤1) when the truncation error is 0(τ2+h4) (or 0(τ+h2)),they are all better than the other explicit difference schemes of the same accuracy.