Vectors propagation

To implement the Doppler-selected TOF measurement, the initial relative velocity is arranged to be parallel to the propagation vector of the probe laser. This critical configuration can readily be achieved in this rotating sources machine.36 Under this configuration, each Doppler-sliced 2D distribution exhibits a cylindrical symmetry The slit in front of the TOF spectrometer allows only those products with a rather small vx to be detected. Hence, only the -distribution, obtained by the TOF measurement, is needed to completely characterize the Doppler-sliced 2D (vx — vy) distribution. 

These relationships show that the Fourier components are perpendicular to the propagating vector k, and consequently the field components can be combined in the complex plane as Ek + iHk, and together define the so-called tranversality condition. Equivalent arguments applied to the curl operator produce the remaining Maxwell equations in k space ... 

In a ray picture, the wave vector k can be decomposed in a transverse component kx = kT and a propagation vector kz = p. By simultaneously invoking an antiresonance condition for the round-trip phase shift A

cladding material (M> = 2 -k-v + efficient light confinement in the core for a given set of materials is given by ... 

Vector difference between the wave propagation vectors of the incident and the scattered beam, both of length lull, where k is the wavelength of the scattered radiation in the medium. 

The second term in Eq. (1.11) is the origin of the scattering in the first Born approximation. It leads to an amplitude for the scattering of photons with propagation vector k0 into photons with vector k equal to... 

Fig. 26. Different types of magnetic structures in the ground stale of ftNijI C compounds, (a) For R = Pr, Dy or Ho commensurate antiferromagnelic structure, (b, c and d) for R = Er, Tb and Tm incommensurate antiferromagnetic structures (spin density waves) with a propagation vector q in the (a, 6)-plane, (b) Moments in the (a, b) plane and X to q. (c) Moments in the (a, b) plane and q. (d) Moments c and X to q (after Lynn et al.

As reported by Blanco et al. (1999), neutron diffraction patterns of powder and bulk polycrystalline samples of GdCu were obtained for both structures in the cubic CsCl type of structure, which orders antiferromagnetically at 7n 150 K, a propagation vector of ( j 0) has been found with the moments probably parallel to the c-axis (note that other noncollinear magnetic structures might give rise to the same neutron-diffraction pattern). In the orthorhombic low temperature phase (7n 45 K) the available diffraction patterns... 

This holds (at least formally) also for diffraction leaky waves (like those considered by the Florence group), since diffracted waves can be thought of as evanescent waves with imaginary wavevectors, which represent small departures from the propagation vector of the undiffracted principal wave. 

Compound Propagation vector Magnetic moment Distortion ... 

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