The field of quantum optomechanics is newly grooming research field, availed good attention in the last couple of years. Here, we theoretically study the system of optomechanics containing a two-level atom, which is coupled to the cavity field, and driven coherently by external fields. Analytical results for the system’s operator dynamics, steady state solutions and transmissivity of optomechanical system are calculated. Transmission (optical response) from the optomechanical system shows some useful information about the current optomechanical system. Particularly, [Formula: see text] = [Formula: see text]-g0([Formula: see text] + [Formula: see text]) is a crucial quantity in optomechanics, focused as main parameters in this paper. Optical transmission is studied in two regions. The first region (case) (i) when [Formula: see text] = [Formula: see text] - [Formula: see text], and in second region (case), (ii) [Formula: see text] = [Formula: see text] + [Formula: see text]. The transmission is examined and discussed with respect to the mechanical frequency of the oscillating mirror.

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A three-dimensional quasi-steady-state mathematical model is presented for laser heating with a multimode beam. The effects of laser beam scanning direction on the melt pool shape are investigated through the conduction analysis without phase change. The maximum temperature is found to be behind the center of the focal spot due to advection. The isotherms ahead of the focal spot bunch together and spread apart behind the focal spot on the surface of the workpiece due to the same effect. The temperature profile shows four distinct peaks as a result of four intensity peaks. Scanning direction affects the melt pool shape which needs to be considered for high precision cutting applications such as integrated circuit cutting. The melt pool shape is found to be symmetric about the x axis in the x-y plane and z axis in the y-z plane for the scanning angles s ϭ0°and Ϫ90°, however it is asymmetric for other scanning angles.