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Illuminance and caustic surfaces in multi-interface variable-index media. 3: Source imbedded in variable-index
This study presents a general method to calculate illuminance and caustic points for light rays in complex, variable-index optical media. The procedure is valid for all rays, including those undergoing multiple reflections and refractions.
Area of Science:
- Optics and Photonics
- Computational Physics
Background:
- Calculating light propagation in non-uniform optical media is complex.
- Existing methods may not cover variable refractive indices or multiple surface interactions.
Purpose of the Study:
- To develop a universal procedure for calculating illuminance and caustic points.
- To handle light rays in z-dependent variable-index media with multiple surfaces.
Main Methods:
- Formulation of terms for illuminance and caustic point calculation.
- Ray tracing through media with spatially varying refractive indices.
- Incorporation of reflection and refraction at multiple interfaces.
Main Results:
- A generalized method applicable to diverse optical systems.
- Accurate calculation of illuminance and caustic points for all ray types.
- Demonstrated validity for complex media and multiple surface interactions.
Conclusions:
- The developed procedure offers a robust solution for light propagation analysis.
- Enables precise optical design and simulation in advanced materials.
- Applicable to a wide range of optical phenomena and systems.

