比较详细地分析了快速汉克尔变换误差原因，给出修正方案，有效地提高了算法精度。
The article has analyzed error cause of fast hankel transform in detail, and the correction schemes are gived, and has effectively raised the algorithm accuracy.
数值计算例表明，用快速汉克尔变换来模拟柱对称大型高功率激光放大系统中的光传输时，是一种非常有用的、快速的算法。
Numerical examples show that FHT is a useful fast algorithm to simulate the beam propagation through a large high power laser amplifier system with cylindrical symmetry.
在二维情况下，忽略热扩散效应，利用汉克尔积分变换法和最陡下降法，求解热扩散方程和波动方程，得出了位移的解析表达式。
The thermal equation and wave equation are solved by the methods of Hankel transform and steepest descent, and the general expression of displacement is obtained.
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