Electromagnetic-field propagation based on Maxwell's propagation operator.

Area of Science:

• Electromagnetism
• Computational Physics
• Optics

Background:

• Maxwell's equations govern electromagnetic phenomena.
• Accurate field propagation is crucial for optical and photonic simulations.
• Existing methods often rely on approximations that limit precision.

Purpose of the Study:

• To introduce a new direct method for analyzing electromagnetic-field propagation.
• To enable accurate propagation of full-vectorial electromagnetic fields.
• To overcome limitations of existing approximate methods.

Main Methods:

• Derivation of field-propagating step operators.
• Direct solution of Maxwell's equations.
• Avoidance of second-order derivative approximations.

Main Results:

• Accurate propagation of full-vectorial electromagnetic fields.
• A direct analytical approach to solving Maxwell's equations for propagation.
• Elimination of approximations related to second-order derivatives.

Conclusions:

• The presented direct method offers a more accurate way to analyze electromagnetic-field propagation.
• This technique enhances the precision of full-vectorial field simulations.
• The method provides a robust alternative for computational electromagnetics.