Current location - Training Enrollment Network - Mathematics courses - Coordinate problem of triple integrating sphere in postgraduate mathematics
Coordinate problem of triple integrating sphere in postgraduate mathematics
Transformation relationship between spherical coordinate system (r, θ, φ) and rectangular coordinate system (x, y, z);

x=rsinθcosφ

y=rsinθsinφ

z=rcosθ

In the spherical coordinate system, the three line segment elements along the direction of the base vector are:

dl(r)=dr,dl(φ)=rsinθdφ,dl(θ)=rdθ

The bin area of spherical coordinates is:

dS=dl(θ)* dl(φ)=r^2*sinθdθdφ

The volume of the volume element is:

dv=dl(r)*dl(θ)*dl(φ)=r^2*sinθdrdθdφ

This is the formula theorem you need to know in the book, which is very useful for you to do the problem. Now I will explain the question you want to ask with pictures and words ~