泊松（Poisson）积分表达式：\[J_\nu\left(z\right)=\dfrac{\left(z/2\right)^\nu}{\sqrt{\pi}\Gamma\left(\nu+1/2\right)}\int_0^{\pi}\cos\left(z\cos\theta\right)\sin^{2\nu}\theta\mathrm{d}\theta\left(\mathrm{Re}\left(\nu\right)\gt-\dfrac

0～9阶的贝塞尔函数零点的计算公式，其中理论上计算零点个数N在50以内时较为精确：Airy光束，基模高斯光束Bessel光束经过大气湍流相位屏的传输特性functionrootBessel=besal_pi0(n,N)%求解n阶贝塞尔函数的零点(0-9)%n为贝塞尔函数阶数%N为要求的零点数量j=zeros

描述BESSELJ函数返回贝塞尔函数Jn(x)。语法BESSELJ(X,N)争论Argument描述Required/OptionalXThevalueatwhichtoevaluatethefunction.RequiredNTheorderoftheBesselfunction.Ifnisnotaninteger,itistruncated.RequiredNotes如果x为非数值,

描述BESSELI函数返回修改后的Bessel函数In(x),该函数等效于针对纯虚参判断的Bessel函数。语法BESSELI(X,N)争论Argument描述Required/OptionalXThevalueatwhichtoevaluatethefunction.RequiredNTheorderoftheBesselfunction.Ifnisnotaninteger,