with increaing the laser pulse intensity the absorption coeffient of inverse bremsstahlung decreased. our team publish an article in physics of plasma about this subject in this year(2015).
When laser light passes through the plasma it gets absorbed in it through inverse Bremesstrahlung process. In this case absorption coefficient is directly proportional to the plasma density and inversely proportional to plasma temperature. An increase in laser intensity increases the plasma density and temperature. But at higher temperature electron ion collision frequency decreases, which limits the laser absorption in plasma. This process creates a saturation after a certain laser intensity. This can be seen in one of the paper given below