Nonprojective Transformations In Optics

Dean F. Cornwell

doi:10.1117/12.932354

26 February 1982 Nonprojective Transformations In Optics

Dean F. Cornwell

Proceedings Volume 0294, New Methods for Optical, Quasi-Optical, Acoustic, and Electromagnetic Synthesis; (1982) https://doi.org/10.1117/12.932354
Event: 25th Annual Technical Symposium, 1981, San Diego, United States

Abstract

Optical systems that perform non-projective transformations are rarely synthesized by intent. Most systems familiar in practice are designed to provide the closest approximation to a projective transformation that is allowed by physics, technology, or economy. The advent of the laser brings many new applications for optical transformations - the non-projective variety being a late-comer. Requirements in the fields of laser materials processing, optical data processing, high energy lasers, and laser fusion, just to name those areas already penetrated, lead one to consideration for unconventional grooming of wavefront irradiance profiles. Transformations such as changing a wavefront irradiance distribution from flat-like to gaussian-like, or vice versa, or changing the wavefront area obscuration while maintaining its focusability, are typical examples of applications gaining an increasing interest. Following the laws of geometrical optics, yet violating certain fundamental rules of imaging, the present paper develops principles of design and analysis of non-projective transformations in optics, and explores one possible application.

Citation Download Citation

Dean F. Cornwell "Nonprojective Transformations In Optics", Proc. SPIE 0294, New Methods for Optical, Quasi-Optical, Acoustic, and Electromagnetic Synthesis, (26 February 1982); https://doi.org/10.1117/12.932354

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