Vol. 19, No. 10 (1963)
In this paper we studied the general forms and properties of tensor Green functions in waveguides with the methods of eigenfunctions expansion. For acquiring relations between the eigenfunctions of waveguides and tensor Green function, we first take the Fourier transform of Green function. In isotropic media the simplest image function can be expressed in dyadic form, and in anisotropic media in the form of ABA+e-ikz0,where A is the coordinate matrix. With this method, we studied the dyadic Green functions of waveguides in isotropic media in detail.
1963, 91 (10): 633-648. doi: 10.7498/aps.19.633
The effect of small amounts of phosphorous on the recrystallization of cold-rolled (89-95.7%) copper strips was studied. It was found that phosphorous, which was mainly in solid solution with copper, greatly raised the recrystallization temperature, increased the activation energy of recrystallization and also changed the recrystallization texture by annihilating the formation of cubic texture. Phosphorous, which existed mostly in the oxidized form, however, showed no pronounced effect on the recrystallization behaviour of cold-rolled copper strips.The recrystallization textures of copper strips under different rolling and annealing conditions, resembled the original deformation textures and/or kept a geometric relationship which may be described as a rotation of 20-45° about a common axis.Results obtained from metallographic and X-ray diffraction studies indicated that the development of the recrystallization texture may be suggested as a process of "re-crystallization in situ" and a process of selective growth.
INVESTIGATION OF THE CORRELATION BETWEEN RESONANCE EFFECT AND NEAR THRESHOLD EFFECT IN THE π+p→Λ+π+K REACTION
1963, 91 (10): 649-672. doi: 10.7498/aps.19.649
In this paper an experiment for the reaction π+ p→∧ +π + K is proposed. The total energy in the centre of mass system is fixed at 1900MeV. The kinetic energy of the final K-meson is then in the range 0-90 MeV. We propose to observe the final state ∧-π resonance and the cusp at the ∑πK threshold. From the correlation between the resonance and the cusp and from the angular distribution of the resonance, the spin of Y1* and the ralative parities among Y1*, ∧ and ∑ may be determined. Based on the diagonal representation of T-matrix in the channel space, a general phenomenological description of the resonance effect, the near threshold effect and the final state interaction is developed, which takes into account especially the correlation of the cusp with a nearby resonance. The general theory is applied to the present experiment as a special case.
1963, 91 (10): 673-681. doi: 10.7498/aps.19.673
In this paper a theoretical investigation has been made on the scattering of neutrons by the spin-wave in ferromagnetics with imperfections. The differential cross section of inelastic scattering has been calculated for a simple case. It has been found that the experimentation on scattering of thermal neutrons offers a method for the observation of localized modes of the spin-waves. In our calculation we have shown that the wave-functions of the scattered spin-waves and those of the localized modes form a complete set of orthonormalized wave-functions in the subspace in which the total deviation of spins is equal to unity.