k intop_pt(acpr.k)*1[1/rad] Wave number ka k*a k*a p0 intop_pt(acpr.rho*acpr.c*u0) Specific reference pressure p_axis p0*(exp(-i*k*z)-exp(-i*k*sqrt(z^2+a^2))) On-axis near-field pressure (analytical) R0 k*a^2/2 Rayleigh length scale p_axis_ff p0*(exp(-i*k*z)-exp(-i*k*sqrt(z^2+a^2))) On-axis far-field pressure (analytical) P_ar (pi/2)*a^2*u0*p0*(1-2*besselj(1,2*acpr.k*a)/(2*acpr.k*a)) Acoustic radiated power p_ana i*a*p0/dis*besselj(1,ka*sin(theta))/sin(theta)*exp(-i*ka/a*dis) Analytical far-field pressure (spatial) dis sqrt(r^2+z^2) Distance from origin theta atan2(r,z) Polar angle (from z-axis)