Vol. 52, Issue 2, pp. 213-228

Vol. 52 Issue 2 pp. 213-228

Light scattering by horizontally oriented square pyramid in the Wentzel–Kramers–Brillouin approximation

El Mostafa Tari, Abdelhadi Bahaoui, Redouane Lamsoudi, Mohammed Khouilid, Mohamed Ibnchaikh


form factor, light scattering, pyramidal ice crystal, Wentzel–Kramers–Brillouin approximation


In this research, we studied the sensitivity of the form factor of a pyramidal ice crystal in the Wentzel–Kramers–Brillouin (WKB) approximation to its geometrical characteristics: the shape, spatial orientation, aspect ratio and size parameter. Using the WKB method, we derive an analytical formula of the form factor of horizontally oriented square pyramid. We will begin this work by applying the WKB approximation to the case of a particle which rotates about its main axis. Then, we will move to deal with the case of a particle which rotates about an axis perpendicular to its main axis in a future work. In addition, the coefficient of extinction is also given. To illustrate our analytical results, some numerical examples are analyzed.

Vol. 52
Issue 2
pp. 213-228

0.47 MB
OPTICA APPLICATA - a quarterly of the Wrocław University of Science and Technology, Faculty of Fundamental Problems of Technology