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Computer Design of Diffractive Optics by V Soifer

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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: image

where ex, e y, ez are the unit vectors of the Cartesian coordinate system. The operators grad, div, rot and ∆ are defined as follows:

image

Where f, F = (Fx, Fy, Fz) 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 ...

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