prolate spheroidal coordinate system

hey everybody,

I have a question 'how i can plot a vector in the spheroidal coordinate system?' specifically in prolate spheroidal coordinate system.

there is a command ' quiver' which plot a vector arrow in Cartesian coordinate system. i want to plot the same kind of vector arrow but in spheroidal coordinate system. the transformations from Cartesian to Spheroidal are (prolate spheroid is Axisymmetric about z axis)

*x=c*sinh(lambda)*sin(beta)

z=c*cosh(lambda)*cos(beta)*

where lambda =[0 +inf[, beta=[0,pi] and 'c' is a scaling factor.

.

is there any way to do this,if yes please help me.

thank you