pyoptics.geometry

Geometry helper functions.

Functions

R_onto	Rotation matrix that rotates vector a onto vector b.
R_x	Elementary rotation about x axis.
R_y	Elementary rotation about y axis.
R_z	Elementary rotation about z axis.
cross_prod	Cross product of two vectors a and b.
cross_prod_matrix	Compute the cross product matrix from given vector.

pyoptics.geometry.cross_prod(a, b)

Cross product of two vectors a and b.

Parameters:

a, barrays

Returns:

resarray

Cross-product of a and b (using right-hand rule).

pyoptics.geometry.cross_prod_matrix(v)

Compute the cross product matrix from given vector.

Parameters:

varray

Returns:

v_xarray

Matrix v_x with dot(v_x, b) = v x b.

pyoptics.geometry.R_onto(a, b)

Rotation matrix that rotates vector a onto vector b.

a and b do not need to be unit vectors; the routine normalizes copies of them.

Parameters:

a, barrays

Returns:

Rarray

Rotation matrix that maps a unnit vector along a onto the direction of b.

pyoptics.geometry.R_x(theta)

Elementary rotation about x axis.

Parameters:

thetanumber

Rotation angle

Returns:

R_xarray

pyoptics.geometry.R_y(theta)

Elementary rotation about y axis.

Parameters:

thetanumber

Rotation angle

Returns:

R_yarray

pyoptics.geometry.R_z(theta)

Elementary rotation about z axis.

Parameters:

thetanumber

Rotation angle

Returns:

R_zarray