On the relationship between the amplitude and phase of wave fields

O N Volkova, A. A. Zozulya

Derivation is given of relationships for determination of the complex amplitudes of waves interacting in a four-wave mixing process in a photorefractive crystal in which a reflection grating is recorded throughout the whole interaction zone. An analysis is made of the amplitude and phase of a nonlinear reflection coefficient. The role of the real and imaginary parts of the coupling constant in the appearance of multivalued solutions is identified.

L. Rosenfeld

Ofir Flom, Asher Yahalom A, Jacob Levitan +1 more

We study the connection between the phase and the amplitude of the wave function and the conditions under which this relationship exists. For this we use the model of particle in a box. We have shown that the amplitude can be calculated from the phase and vice versa if the log analytical uncertainty relations are satisfied.

B.T. Geylikman

John Stringer

Pingxiao Wang, Jiaxiang Wang, YuKun Huo +2 more

We show that the phase velocity in a stationary state of a de Broglie wave can be directly obtained from the probability distribution, i.e. the quantum trajectories, without detailed knowledge of the phase term itself. In other words, the amplitude of a de Broglie wave function describes not only the probability distribution but also the phase velocity distribution. Using this relationship, we comment on two calculations of the Goos-Hänchen shift in de Broglie waves.