Computer Design of Diffractive Optics

1

Main equations of diffraction theory

1.1 Maxwell equations

1.1.1 Mathematical concepts and notations

The Hamiltonian operator in the Cartesian coordinate system is determined as

follows:

where e_x, e _y, e_z are the unit vectors of the Cartesian coordinate system. The operators grad, div, rot and ∆ are defined as follows:

Where f, F = (F_x, F_y, F_z) are the scalar and vector functions, (.,.) and [.,.] are the operations of the scalar and vector products, det A is the determinant of the matrix A.

The most important integral relationships of vector ...