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Updated: Jun 13, 2026
12:14
The Generation of Higher-order Laguerre-Gauss Optical Beams for High-precision Interferometry
Published on: August 12, 2013
Basic full-wave generalization of the real-argument Hermite-Gauss beam.
1s.r.seshadri@att.net
Summary
This study investigates Hermite-Gauss beams, finding their paraxial form has zero reactive power. Full-wave analysis reveals infinite reactive power for the generalized beam, with real power depending on wavenumber and mode numbers.
Area of Science:
- Physics
- Optics
- Electromagnetism
Background:
- Hermite-Gauss beams are fundamental solutions in paraxial optics.
- Understanding their full-wave behavior is crucial for advanced optical applications.
Purpose of the Study:
- To investigate the complex power and reactive power of linearly polarized real-argument Hermite-Gauss beams.
- To generalize these beams to a full-wave description and analyze their power characteristics.
Main Methods:
- Fourier transform method applied to linearly polarized real-argument Hermite-Gauss beams.
- Deduction of the complex space source for full-wave generalization.
- Evaluation of real and reactive powers for both paraxial and full-wave cases.
Main Results:
- The paraxial Hermite-Gauss beam exhibits zero reactive power.
- The full-wave generalized beam possesses infinite reactive power, with the singularity explained.
- Real power is dependent on wavenumber (k), e-folding distance (w(0)), and mode numbers (m, n).
Conclusions:
- The transition from paraxial to full-wave description significantly alters the reactive power characteristics.
- The real power of the full-wave Hermite-Gauss beam offers tunable parameters for optical system design.
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