Geometrical Optics: Theoretical Achievements and Applications
A special issue of Applied Sciences (ISSN 2076-3417). This special issue belongs to the section "Optics and Lasers".
Deadline for manuscript submissions: closed (15 December 2021) | Viewed by 16077
Special Issue Editor
Interests: optical imaging; optical design; hyperspectral imaging; physiological optics
Special Issues, Collections and Topics in MDPI journals
Special Issue Information
Dear Colleagues,
Before the electromagnetism mathematical formalism was established and light was revealed as an electromagnetic wave, Geometrical Optics ruled the propagation of luminous radiation as rays in a geometrical framework for centuries. Thus, rays can be considered as lines carrying electromagnetic energy in a 3D space oriented in all directions, and the wave nature of light can be avoided when the wavelength effects are negligible. When the Fermat Principle was stated, an analogy between ray trajectories and mechanics of point particles was formulated by Hamilton, and Hamiltonian Optics was developed providing useful results, and insights from the application of classical mechanics methods. Nowadays, Geometrical Optics approximation to problems is valuable when designing optical systems in an early stage and diffraction effects are not needed. This requires knowledge of lens surface geometry, refractive index distribution, reliable ray-tracing methods, and aberrations. Further, modern illumination systems design also benefits from Geometrical Optics methods for their successful creation. Last but not least, Hamiltonian Optics formalism, its geometric structure, and underlying symmetries provide methods for introducing wider topics in the quantum theory of light.
The aim of this Special Issue is to attract researchers from all around the world with an active interest in Geometrical Optics to present their latest achievements on the topic, including advances in surfaces and lens geometry knowledge, paraxial-based optical predesign of systems, ray-tracing methods including polarization, inverse problems such as determining refractive index distributions or surface geometries from ray-tracing, aberrations in optical systems, and Hamiltonian Optics methods. The accepted contributions will include theoretical considerations, and applications.
Dr. José Antonio Díaz Navas
Guest Editor
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Keywords
- Optical systems design
- Paraxial methods
- Surface geometry
- Inverse problems
- Imaging aberrations
- Ray-tracing algorithms
- Eikonals
- Hamiltonian optics
- Illumination
- Polarization ray-tracing.
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