AI Article Synopsis
- The transverse wave condition cannot be used for refracted electromagnetic waves when absorption is present, requiring either TM or TE wave assumptions for ray-tracing calculations.
- These wave mode assumptions impact the reflection and refraction coefficients, leading to multiple possible solutions.
- This study identifies suitable Fresnel coefficients for light scattering based on a derived 3x2 refraction matrix, factoring in medium absorption and providing numerical results for hexagonal particles.
Article Abstract
The transverse wave condition is not applicable to the refracted electromagnetic wave within the context of geometrical optics when absorption is involved. Either the TM or the TE wave condition can be assumed for the wave to locally satisfy the electromagnetic boundary condition in a ray-tracing calculation. The assumed wave mode affects both the reflection and the refraction coefficients. As a result, nonunique solutions for these coefficients are inevitable. In this study the appropriate solutions for the Fresnel reflection-refraction coefficients are identified in light-scattering calculations based on the ray-tracing technique. In particular, a 3 x 2 refraction or transmission matrix is derived to account for the inhomogeneity of the refracted wave in an absorbing medium. An asymptotic solution that completely includes the effect of medium absorption on Fresnel coefficients is obtained for the scattering properties of a general polyhedral particle. Numerical results are presented for hexagonal plates and columns with both preferred and random orientations.
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| http://dx.doi.org/10.1364/ao.40.001532 | DOI Listing |
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