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1Departamento Física Aplicada a los Recursos Naturales, Universidad Politécnica de Madrid, Escuela Técnica Superior de Ingenieros de Montes, Madrid, Spain. angel.garciab@upm.es
Applied Optics
|October 22, 2011
Summary
The vector flux field concept enhances optical concentrator design. Surfaces orthogonal to the flux field vector achieve the theoretical concentration limit for both reflective and refractive systems.
Area of Science:
- Optics
- Nonimaging Optics
- Photometry
Background:
- The vector flux field concept originated in photometry and advanced nonimaging optics.
- It offers an alternative to standard ray tracing for designing optical concentrators.
- Previous work demonstrated reflective concentrators aligned with flux field lines reach theoretical concentration limits.
Purpose of the Study:
- To investigate surfaces orthogonal to the vector flux field (J).
- To explore the existence and properties of these orthogonal surfaces in rotationally symmetric systems.
- To determine if concentrators shaped by these surfaces achieve theoretical concentration limits.
Main Methods:
- Analysis of the vector flux field in optical systems.
- Mathematical investigation of surfaces orthogonal to the field vector J.
- Application of the flux tube concept to refractive concentrators.
Main Results:
- Identified surfaces orthogonal to the flux field vector J, termed surfaces of constant pseudopotential, in rotationally symmetric systems.
- Demonstrated that J is orthogonal to its curl in these systems.
- Proved that refractive concentrators shaped by these pseudopotential surfaces achieve the theoretical limit of concentration.
Conclusions:
- Surfaces orthogonal to the vector flux field are crucial for achieving maximum concentration.
- The flux field method provides a powerful framework for designing both reflective and refractive optical concentrators.
- This study extends the application of the vector flux field to refractive concentrator design, achieving theoretical limits.
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