Reciprocal transmittances and reflectances: An elementary proof

Details Reciprocal transmittances and reflectances: An elementary proof Reciprocal transmittances and reflectances: An elementary proof

2006-10-19

arxiv.org/abs/physics/0610143v4

Am. J. Phys. 75, 899-902 (2007).

Physics

Optics

6 pages, 5 figures. RevTEX4. Improved wording. Physics Education

Scientific paper

10.1119/1.2752820

We present an elementary proof concerning reciprocal transmittances and reflectances. The proof is direct, simple, and valid for the diverse objects that can be absorptive and induce diffraction and scattering, as long as the objects respond linearly and locally to electromagnetic waves. The proof enables students who understand the basics of classical electromagnetics to grasp the physical basis of reciprocal optical responses. In addition, we show an example to demonstrate reciprocal response numerically and experimentally.

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