Differential equation of totally reflected wavefront

J. Novak; P. Novak; A. Miks

doi:10.1117/12.638922

6 December 2006 Differential equation of totally reflected wavefront

J. Novak, P. Novak, A. Miks

Proceedings Volume 5945, 14th Slovak-Czech-Polish Optical Conference on Wave and Quantum Aspects of Contemporary Optics; 59450R (2006) https://doi.org/10.1117/12.638922
Event: 14th Slovak-Czech-Polish Optical Conference on Wave and Quantum Aspects of Contemporary Optics, 2005, Nitra, Slovakia

Abstract

In case of total reflection at a boundary surface between two different optical media, the ray reflected at the boundary is spatially shifted with respect to a point, where an incident ray intersects the boundary. The light penetrates into the second medium and the evanescent electromagnetic wave propagates along the boundary. The described problem is called the Goos-Hanchen effect. Our work describes an influence of the Goos-Hanchen effect on the imaging properties of optical systems and it is derived a differential equation of a wave-front meridian that corresponds to a reflected bundle of rays. It is shown that the wavefront can be described by d'Alambert differential equation. This equation make possible to determine the coordinates of individual points on the wave-front meridian. Moreover, the paper also investigates the influence of total reflection on the value of the Strehl definition of the reflected ray bundle.

Citation Download Citation

J. Novak, P. Novak, and A. Miks "Differential equation of totally reflected wavefront", Proc. SPIE 5945, 14th Slovak-Czech-Polish Optical Conference on Wave and Quantum Aspects of Contemporary Optics, 59450R (6 December 2006); https://doi.org/10.1117/12.638922

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