贝塞尔函数MATLAB仿真(含程序)

一．第一类贝塞尔函数第一类贝塞尔函数的代码如下：clearallx=(0:0.01:25);J0=besselj(0,x);J1=besselj(1,x);J2=besselj(2,x);J3=besselj(3,x);plot(x,J0,':',x,J1,'-.',x,J2,'-',x,J3,'-');axis([0,25,-1,1]);gridonxlabel('X');ylabel('J(X)');title('第一类贝塞尔函数曲线图');text(1,0.8,'J0(X)');text(2,0.6,'J1(X)');text(4,0.4,'J2(X)');text(12,0.2,'J3(x)');二．第二类贝塞尔函数第二类贝塞尔函数的代码如下：clearall；clc；x=(0:0.01:25);Y0=bessely(0,x);Y1=bessely(1,x);Y2=bessely(2,x);Y3=bessely(3,x);plot(x,Y0,':',x,Y1,'-.',x,Y2,'-',x,Y3,'-');axis([0,25,-1,1]);text(2,0.6,'Y0(X)');text(4,0.4,'Y1(X)');text(11,0.24,'Y2(X)');text(13,0.24,'Y3(X)');gridonxlabel('X');ylabel('Y(X)');title('第二类贝塞尔函数曲线图');三．第一类修正贝塞尔函数第一类修正贝塞尔函数的代码如下：clearall；clc；x=(0:0.01:25);I0=besseli(0,x);I1=besseli(1,x);I2=besseli(2,x);I3=besseli(3,x);plot(x,I0,':',x,I1,'-.',x,I2,'-',x,I3,'-');axis([0,5,0,10]);text(0.5,1.3,'I0(X)');text(2.5,2,'I1(X)');text(3.5,3.1,'I2(X)');text(4.4,5,'I3(X)');gridonxlabel('X');ylabel('I(X)');title('第一类修正贝塞尔函数曲线图');四．第二类修正贝塞尔函数第二类修正贝塞尔函数的代码如下：clearall；clc；x=(0:0.01:20);K0=besselk(0,x);K1=besselk(1,x);K2=besselk(2,x);K3=besselk(3,x);plot(x,K0,':',x,K1,'-.',x,K2,'-',x,K3,'-');axis([0,5,0,10]);text(0.5,0.5,'K0(X)');text(0.3,3.5,'K1(X)');text(1,2,'K2(X)');text(1.8,1,'K3(X)');gridonxlabel('X');ylabel('K(X)');title('第二类修正贝塞尔函数曲线图');五．阶跃函数阶跃函数的代码如下：clearallclc;formatlongha=[0:0.01:12];a=[0:0.001:2];b=[0:0.001:5];c=[0:0.001:8];y=ha.*besselj(1,ha)./besselj(0,ha);y1=sqrt(4-a.^2).*besselk(1,sqrt(4-a.^2))./besselk(0,sqrt(4-a.^2));y2=sqrt(25-b.^2).*besselk(1,sqrt(25-b.^2))./besselk(0,sqrt(25-b.^2));y3=sqrt(64-c.^2).*besselk(1,sqrt(64-c.^2))./besselk(0,sqrt(64-c.^2));h=plot(ha,y,'k-',a,y1,'r-',b,y2,'b-',c,y3,'g-','linewidth',1.2);gridonaxis([0,12,-15,15]);title('l=0时图解法确定LP模的ha');text(0.5,3.5,'V=2');text(3,5,'V=5');text(4,8,'V=8');xlabel('ha');ylabel('Y');set(h,'LineSmoothing','on');