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Analyzing the power coupled between partially coherent waveguide fields in different states of coherence
Stafford Withington1, Ghassan Yassin
1Cavendish Laboratory, University of Cambridge, UK. stafford@mrao.cam.ac.uk
Summary
This study introduces a method to calculate power transfer between partially coherent waveguide fields. The formula, based on coherence matrices, quantifies power coupling in multimode waveguides.
Area of Science:
- Optics and Photonics
- Electromagnetism
- Waveguide Theory
Background:
- Calculating power transfer in optical and electronic systems is crucial.
- Partially coherent fields in waveguides present unique challenges for power coupling analysis.
Purpose of the Study:
- To develop a general procedure for calculating power coupled between partially coherent waveguide fields in different coherence states.
- To provide a method applicable to power transfer from distributed sources to loads through multimode metallic or dielectric waveguides.
Main Methods:
- The study utilizes coherence matrices to describe correlations between electric and magnetic fields of sources and loads.
- A formula is derived for normalized average power coupled, defined as (eta) = Tr[MM']/Tr[M]Tr[M'], where M and M' are coherence matrices and Tr denotes the trace.
Main Results:
- A novel procedure for calculating coupled power between partially coherent waveguide fields is presented.
- The derived formula simplifies to a known result for free-space beams when modal impedances are equal.
Conclusions:
- The developed method offers a robust way to quantify power coupling in complex waveguide systems.
- This work extends previous findings on partially coherent beam coupling to waveguide scenarios.