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Published on: May 30, 2014
Elementary functions: propagation of partially coherent light
Anna Burvall1, Arlene Smith, Christopher Dainty
1Applied Optics, School of Physics, National University of Ireland Galway, Galway, Ireland.
Summary
Numerical propagation of partially coherent light is simplified using elementary functions to reduce computational complexity. This method enhances calculations for optical beam propagation, offering a more efficient approach.
Area of Science:
- Optics and Photonics
- Computational Physics
- Electromagnetism
Background:
- The propagation of partially coherent light is a fundamental concept in optics.
- Numerical calculations for these phenomena are often complex due to high dimensionality.
Purpose of the Study:
- To introduce and formalize a novel method for simplifying numerical calculations of partially coherent light propagation.
- To reduce the dimensionality of integral calculations from three to two dimensions.
Main Methods:
- Utilizing a method based on elementary functions, previously introduced by Wald et al.
- Developing a sampling criterion for accurate interpolation within the reduced dimensional space.
- Analyzing special cases like the Gaussian Schell-model beam.
Main Results:
- Successfully reduced the dimensionality of numerical propagation problems.
- Demonstrated the method's applicability to specific optical beam types.
- Provided a framework for generalized two-dimensional field distribution propagation.
Conclusions:
- The proposed method offers a significant simplification for numerical computations in partially coherent light propagation.
- This approach enhances efficiency and accuracy in optical simulations.
- The technique is adaptable for broader applications in optical engineering and physics.
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