Search results
Results from the WOW.Com Content Network
where m is the Bragg order (a positive integer), λ B the diffracted wavelength, Λ the fringe spacing of the grating, θ the angle between the incident beam and the normal (N) of the entrance surface and φ the angle between the normal and the grating vector (K G). Radiation that does not match Bragg's law will pass through the VBG undiffracted.
Laue and Bragg geometries, top and bottom, as distinguished by the Dynamical theory of diffraction with the Bragg diffracted beam leaving the back or front surface of the crystal, respectively. The dynamical theory of diffraction describes the interaction of waves with a regular lattice.
Laue equation. In crystallography and solid state physics, the Laue equations relate incoming waves to outgoing waves in the process of elastic scattering, where the photon energy or light temporal frequency does not change upon scattering by a crystal lattice.
Consider the scattering of a beam of wavelength by an assembly of particles or atoms stationary at positions , =, …,.Assume that the scattering is weak, so that the amplitude of the incident beam is constant throughout the sample volume (Born approximation), and absorption, refraction and multiple scattering can be neglected (kinematic diffraction).
In general, the n-th Brillouin zone consists of the set of points that can be reached from the origin by crossing exactly n − 1 distinct Bragg planes. A related concept is that of the irreducible Brillouin zone , which is the first Brillouin zone reduced by all of the symmetries in the point group of the lattice (point group of the crystal).
Download as PDF; Printable version; ... move to sidebar hide. From Wikipedia, the free encyclopedia. Redirect page. Redirect to: Bragg's law;
A generalization of the half-plane problem is the "wedge problem", solvable as a boundary value problem in cylindrical coordinates. The solution in cylindrical coordinates was then extended to the optical regime by Joseph B. Keller , who introduced the notion of diffraction coefficients through his geometrical theory of diffraction (GTD).
Here are given examples of Fraunhofer diffraction with a normally incident monochromatic plane wave. In each case, the diffracting object is located in the z = 0 plane, and the complex amplitude of the incident plane wave is given by A ( x ′ , y ′ ) = a e i 2 π c t / λ = a e i k c t {\displaystyle A(x',y')=ae^{i2\pi ct/\lambda }=ae^{ikct ...