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Spatial beam narrowing in multimode graded-index fiber amplifiers: an analytic approach
Optics Letters
|January 13, 2023
Summary
Doped graded-index (GRIN) fiber amplifiers improve optical beam quality. A new model shows beam width oscillates and narrows due to gain, providing an analytic damping distance expression.
Area of Science:
- Optics and Photonics
- Fiber Optics
- Laser Physics
Background:
- Graded-index (GRIN) fibers offer unique light propagation properties.
- Optical amplification in fibers can enhance beam quality.
- Understanding beam dynamics in GRIN amplifiers is crucial for applications.
Purpose of the Study:
- To develop a simplified analytical model for optical amplification in doped GRIN fibers.
- To investigate the spatial quality improvement of amplified optical beams.
- To derive an expression for the beam width oscillation damping distance.
Main Methods:
- Development of a simplified mathematical model for the amplification process.
- Analytical solution of the model equations with appropriate approximations.
- Analysis of the radial dependence of optical gain on beam width.
Main Results:
- The model predicts oscillatory behavior of the amplified beam width.
- The beam width is shown to decrease (narrow) due to radial gain dependence.
- An analytic expression for the damping distance of beam-width oscillations was derived.
Conclusions:
- The simplified model provides valuable insights into GRIN fiber amplifier behavior.
- The derived analytic expression clarifies the influence of physical parameters on beam dynamics.
- This work facilitates the design and optimization of GRIN fiber amplifiers for improved beam quality.
