shadow4.tools.arrayofvectors

Operations on arrays of 3D vectors with shape (n_vectors, 3).

Each function operates element-wise over a batch of vectors so that an entire ray bundle can be transformed in a single NumPy call. All inputs and outputs follow the convention v[n_vectors, 3] unless otherwise stated.

Functions

vector_add_scalar(u, k)	Calculate the sum of a vector and a scalar constant.
vector_cross(u, v)	Calculate the vector cross product.
vector_default_efields(DIREC[, pol_deg])	Creates two unitary vectors pointing on a sigma and pi-polarization directions.
vector_diff(u, v)	Calculate the difference of two vectors u - v.
vector_dot(u, v)	Calculate the dot product of two vectors.
vector_modulus(u)	Calculates the modulus of a vector array.
vector_modulus_square(u)	Calculates the modulus of a vector array to the power 2.
vector_multiply_scalar(u, k)	Calculate the product of a vector by a scalar.
vector_norm(u)	Calculate the normalized vector.
vector_reflection(v1, normal)	Calculate the reflection of a vector (ray) on a surface.
vector_refraction(vin, normal, n1, n2[, ...])	Calculate the refraction (transmission) vector using Snell's Law in vector form.
vector_rotate_around_axis(u, rotation_axis, ...)	Rotates the vector around an axis.
vector_scattering(K_IN, H, NORMAL)	Calculate the scattering of a wavevector.
vector_sum(u, v)	Calculate the sum of two vectors.