Numerical modeling of transient progression of plasma formation in biological tissues induced by short laser pulses
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A theoretical model based on the rate equation for free electron density is proposed to investigate transient progression of plasma formation in soft biological tissues during laser shock processing. The laser focusing region around the focus point is considered to be one-dimensional along the direction of the incident beam, and is discretized into numerous thin control volumes. In simulation of the transient plasma progression, the laser intensity distribution and the temporal evolution of the free electron density are calculated sequentially for each control volume using a fourth-order Runge–Kutta method with adaptive time step control. The rate-equation formalism is first validated with previously published theoretical and experimental results. Simulation of the dynamics of plasma formation is then performed. The results include temporal evolution and spatial distribution of the free electron density as well as the growth of the plasma. It is shown that the threshold laser intensity for optical breakdown in water and the maximum length of the resulting plasma obtained from the present model are in good agreement with existing experimental data.
KeywordsControl Volume Laser Intensity Plasma Formation Multiphoton Ionization Optical Breakdown
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