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

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Scalar modified Bessel-Gauss beams and waves.

¹s.r.seshadri@osa.org

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

|September 4, 2007

Summary

Modified Bessel-Gauss beams, using imaginary argument Bessel functions, show significantly reduced spreading and improved paraxial approximation compared to standard Bessel-Gauss beams. These findings offer enhanced beam control for optical applications.

Area of Science:

Optics and Photonics
Wave Propagation

Background:

Bessel-Gauss beams are essential for applications requiring non-diffracting light.
Understanding beam spreading and power transport is crucial for optical system design.

Purpose of the Study:

To analyze the propagation and spreading properties of modified Bessel-Gauss beams.
To compare the performance of modified Bessel-Gauss beams with standard Bessel-Gauss beams.
To evaluate the paraxial beam approximation for these wave types.

Main Methods:

Theoretical analysis of modified Bessel-Gauss beams utilizing Bessel functions of imaginary arguments.
Investigation of azimuthal mode numbers m=0 and m=1.
Calculation of beam spreading, radiation patterns, and total power transport.

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Main Results:

Modified Bessel-Gauss beams exhibit substantially less spreading than conventional Bessel-Gauss beams.
The peak and null in radiation patterns show reduced spreading for m=0 and m=1 modes, respectively.
Finite power transport is observed for Bessel-Gauss and modified Bessel-Gauss waves, unlike standard Bessel waves.

Conclusions:

Modified Bessel-Gauss beams offer superior spreading properties compared to Bessel-Gauss beams.
The paraxial beam approximation is of higher quality for modified Bessel-Gauss beams.
These findings indicate modified Bessel-Gauss beams are an improvement for applications demanding controlled beam propagation.