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Power carried by a nonparaxial TM beam
1Centre d'optique, photonique et laser (COPL), Université Laval, Quebec City, Québec G1V 0A6, Canada. alexandre.april.1@ulaval.ca
Summary
Calculating optical beam power for nonparaxial electromagnetic beams requires integrating the longitudinal Poynting vector. This study determines the power expression for high-aperture transverse magnetic (TM) beams, applicable to transverse electric (TE) beams as well.
Area of Science:
- Optics
- Electromagnetism
- Mathematical Physics
Background:
- Paraxial optics accurately calculates beam power using electric field integrals.
- Nonparaxial electromagnetic beams necessitate power calculation via the Poynting vector's longitudinal component.
Purpose of the Study:
- To derive the power expression for high-aperture transverse magnetic (TM) beams.
- To establish a general power formula applicable to both TM and transverse electric (TE) beams.
Main Methods:
- Integration of the longitudinal component of the time-averaged Poynting vector.
- Utilizing a modified Struve function for the derived power expression.
Main Results:
- A general expression for the power carried by high-aperture TM beams is determined.
- The derived formula is also valid for TE beams.
Conclusions:
- The study provides an accurate method for calculating power in nonparaxial beams.
- The findings extend the understanding of electromagnetic beam power calculations in optics.
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