Till S J, Milsom P K, Rowlands G
Defence Science and Technology Laboratory, Malvern, Worcestershire WR14 3PS, UK.
Bull Math Biol. 2004 Jul;66(4):791-808. doi: 10.1016/j.bulm.2003.10.009.
Shock waves have been proposed in the literature as a mechanism for retinal damage induced by ultra-short laser pulses. For a spherical absorber, we derive a set of linear equations describing the propagation of pressure waves. We show that the formation of shock fronts is due to the form of the absorber rather than the inclusion of nonlinear terms in the equations. The analytical technique used avoids the need for a Laplace transform approach and is easily applied to other absorber profiles. Our analysis suggests that the 'soft' nature of the membrane surrounding retinal melanosomes precludes shock waves as a mechanism for the retinal damage induced by ultra-short pulse lasers. The quantitative estimates of the pressure gradients induced by laser absorption which are made possible by this work, together with detailed meso-scale or molecular modelling, will allow alternative damage mechanisms to be identified.
文献中已提出冲击波是超短激光脉冲引起视网膜损伤的一种机制。对于球形吸收体,我们推导了一组描述压力波传播的线性方程。我们表明,激波前沿的形成是由于吸收体的形式,而不是方程中包含非线性项。所使用的分析技术避免了拉普拉斯变换方法的需要,并且很容易应用于其他吸收体轮廓。我们的分析表明,视网膜黑素体周围膜的“柔软”性质排除了冲击波作为超短脉冲激光引起视网膜损伤的一种机制。这项工作使得对激光吸收引起的压力梯度进行定量估计成为可能,再结合详细的中尺度或分子建模,将有助于识别其他损伤机制。