Journal of Applied Mathematics
Volume 2011 (2011), Article ID 145139, 11 pages
Research Article

A Treatment of the Absorption Spectrum for a Multiphoton 𝑉 -Type Three-Level Atom Interacting with a Squeezed Coherent Field in the Presence of Nonlinearities

Mathematics Department, Faculty of Science, Al-Azhar University, Nasr City, Cairo 11884, Egypt

Received 15 May 2011; Revised 9 October 2011; Accepted 27 October 2011

Academic Editor: Ch. Tsitouras

Copyright © 2011 F. K. Faramawy. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


We study the interaction of a three-level atom with a single mode field through multiphoton transition in a cavity, taking explicitly into account the existence of forms of nonlinearities of both the field and the intensity-dependent atom-field coupling. The analytical forms of the absorption spectrum is calculated using the dressed states of the system. The effects of photon multiplicities, mean photon number, detuning, Kerr-like medium, and the intensity-dependent coupling functional on the absorption spectrum are analyzed.