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The Generation of Higher-order Laguerre-Gauss Optical Beams for High-precision Interferometry

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Electromagnetic modified Bessel-Gauss beams and waves.

¹109 North Whitney Way, Madison, Wisconsin 53705-2718, USA. s.r.seshadri@osa.org

Journal of the Optical Society of America. A, Optics, Image Science, and Vision

|December 25, 2007

Summary

Transverse magnetic (TM) modified Bessel-Gauss beams exhibit slower null spreading than TM Bessel-Gauss beams. This research analyzes their wave properties and paraxial approximation quality.

Area of Science:

Electromagnetism and Optics
Wave Propagation

Background:

Bessel-Gauss beams are solutions to wave equations with applications in optics.
Understanding beam propagation and intensity patterns is crucial for optical system design.

Purpose of the Study:

To analyze the propagation characteristics of transverse magnetic (TM) modified Bessel-Gauss beams.
To compare the spreading properties of nulls in the radiation intensity pattern with TM Bessel-Gauss beams.
To evaluate the quality of the paraxial beam approximation for these non-paraxial beams.

Main Methods:

Full-wave analysis of TM modified Bessel-Gauss beams.
Investigation of radiation intensity patterns for azimuthal mode numbers m=0 and 1.
Calculation and comparison of wave power transport and paraxial approximation accuracy.

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Main Results:

TM modified Bessel-Gauss waves show a significantly reduced rate of null spreading in the propagation direction compared to TM Bessel-Gauss waves.
The quality of the paraxial approximation for TM Bessel-Gauss waves follows a regular pattern with varying parameters.
The TM modified Bessel-Gauss wave's paraxial approximation quality does not exhibit a regular pattern.

Conclusions:

TM modified Bessel-Gauss beams offer improved control over null spreading compared to standard Bessel-Gauss beams.
The paraxial approximation is less reliable for TM modified Bessel-Gauss beams, necessitating full-wave analysis.
Parameter dependence of paraxial approximation quality differs significantly between TM Bessel-Gauss and TM modified Bessel-Gauss beams.