Pendellösung

The Pendellösung effect or phenomenon is seen in physics in which there is a beating in the intensity of electromagnetic waves travelling within a crystal lattice.

At the exit surface of a photonic crystal (PhC), the intensity of the diffracted wave can be periodically modulated, showing a maximum in the "positive" (forward diffracted) or in the "negative" (diffracted) direction, depending on the crystal slab thickness.

The Pendellösung effect in photonic crystals can be understood as a beating phenomenon due to the phase modulation between coexisting plane wave components, propagating in the same direction.[1][2]

This thickness dependence is a direct result of the so-called Pendellösung phenomenon, consisting of the periodic exchange inside the crystal of the energy between direct and diffracted beams.[3]

The Pendellösung interference effect was predicted by dynamical diffraction and also by its fellow theories developed for visible light.

References
  1. Savo, S.; Gennaro, E. Di; Miletto, C.; Andreone, A.; Dardano, P.; Moretti, L.; Mocella, V. (2008-06-09). "Pendellösung effect in photonic crystals". Optics Express. 16 (12): 9097–9105. arXiv:0804.1701. doi:10.1364/OE.16.009097. ISSN 1094-4087.
  2. "Observation of pendellösung effect in polarized neutron scattering from a magnetic crystal". Physica B+C. 120 (1–3): 80. 1983-05-01. doi:10.1016/0378-4363(83)90343-1. ISSN 0378-4363.
  3. Punegov, Vasily I. (2021). "X-ray Laue diffraction by sectioned multilayers. I. Pendellösung effect and rocking curves". Journal of Synchrotron Radiation. 28 (5): 1466–1475. doi:10.1107/S1600577521006408. ISSN 1600-5775.


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