The compatibility and morphology of HIPS/PC and HIPS-g-GMA/PC blends

The compatibility and morphology of HIPS/PC and HIPS-g-GMA/PC blends were studied. The compatibility and morphology of HIPS/PC blends were characterized by DSC and SEM, respectively. The result of DSC shows that T-g of PS doesn't change with the blend composition, and T-g of PC decreases with the increase in weight fraction of HIPS, which indicates that the PC/HIPS blend is a partially miscible system. Results of SEM indicate that the decrease in T-g of PC results from PS interpenetrating into the phase of PC, and no change in T-g of PS results from PC not interpenetrating into the phase of PS. The copolymer of HIPS-g-GMA was prepared by reactive grafting method. The IR spectrum shows that GMA is grafted on the chain of HIPS. The compatibility and morphology of HIPS-gGMA (35)/PC (65) were studied by DSC and SEM. PC (65)/HEPS-g-GMA (35) blend exhibits reduced size of disperse phase, enhanced interface adhesion and lower T-g of PC phase as compared with the PC(65)/HIPS(35) blend. It implies that HIPS-g-GMA is an effective compatibilizer of the HIPS/PC blend.

First-passage failure and its feedback minimization of quasi-partially integrable Hamiltonian systems

An n degree-of-freedom Hamiltonian system with r (1¡r¡n) independent 0rst integrals which are in involution is calledpartially integrable Hamiltonian system. A partially integrable Hamiltonian system subject to light dampings andweak stochastic excitations is called quasi-partially integrable Hamiltonian system. In the present paper, the procedures for studying the 0rst-passage failure and its feedback minimization of quasi-partially integrable Hamiltonian systems are proposed. First, the stochastic averaging methodfor quasi-partially integrable Hamiltonian systems is brie4y reviewed. Then, basedon the averagedIt ˆo equations, a backwardKolmogorov equation governing the conditional reliability function, a set of generalized Pontryagin equations governing the conditional moments of 0rst-passage time and their boundary and initial conditions are established. After that, the dynamical programming equations and their associated boundary and 0nal time conditions for the control problems of maximization of reliability andof maximization of mean 0rst-passage time are formulated. The relationship between the backwardKolmogorov equation andthe dynamical programming equation for reliability maximization, andthat between the Pontryagin equation andthe dynamical programming equation for maximization of mean 0rst-passage time are discussed. Finally, an example is worked out to illustrate the proposed procedures and the e9ectiveness of feedback control in reducing 0rst-passage failure.

Phase imaging with partially coherent x rays

X-ray phase imaging with illumination by a partially coherent source with a setup similar to in-line holography is considered. Using the optical transform function, we consider the effects of partial coherence on this x-ray phase imaging for a weak phase object. The optimal contrast and the resolution of phase imaging are analyzed. As the coherence decreases, the imaging contrast and the optimal contrast frequency decrease, and the resolution degrades. It is shown that this contrast-enhanced phase-imaging method can be regarded as a linear bandpass filter and that the bandwidth and the image contrast are changeable. The frequency property of the imaging system can be improved if an incoherent x-ray source with the proper shape is used. (C) 1999 Optical Society of America.

Instability of solution of phase retrieval in direct diffraction phase-contrast imaging with partially coherent X-ray source

The theoretical model of direct diffraction phase-contrast imaging with partially coherent x-ray source is expressed by an operator of multiple integral. It is presented that the integral operator is linear. The problem of its phase retrieval is described by solving an operator equation of multiple integral. It is demonstrated that the solution of the phase retrieval is unstable. The numerical simulation is performed and the result validates that the solution of the phase retrieval is unstable.