Nonparaxial TE and TM vector beams with well-defined orbital angular momentum

Area of Science:

• Optics and Photonics
• Electromagnetism
• Mathematical Physics

Background:

• Diffraction-free beams are crucial for applications requiring stable light propagation.
• Existing models for vector beams can be complex to analyze.
• Understanding beam behavior in free space is fundamental to optical physics.

Purpose of the Study:

• To develop a novel formalism for analyzing diffraction-free vector beams.
• To provide a systematic method for separating beam solutions into polarization modes.
• To validate the proposed formalism using a known beam solution.

Main Methods:

• Developed a new mathematical formalism for vector beams.
• Separated solutions of Maxwell's equations into transverse electric (TE) and transverse magnetic (TM) modes.
• Applied the formalism to the specific case of vectorial Bessel beams.

Main Results:

• The new formalism successfully describes diffraction-free vector beams.
• The separation into TE and TM modes offers a simplified analytical approach.
• The formalism's validity is confirmed through its application to vectorial Bessel beams.

Conclusions:

• The developed formalism offers an effective framework for studying diffraction-free vector beams.
• This method simplifies the analysis of complex vector beam structures.
• The TE/TM mode separation provides new insights into beam propagation in free space.