Supporting Quadric Method for Designing Freeform Mirrors That Generate Prescribed Near-Field Irradiance Distributions
Leonid L. Doskolovich,
Egor V. Byzov,
Albert A. Mingazov,
Gor J. Karapetian,
Vitalii I. Smorodin,
Nikolay L. Kazanskiy,
Dmitry A. Bykov,
Evgeni A. Bezus
Affiliations
Leonid L. Doskolovich
Image Processing Systems Institute—Branch of the Federal Scientific Research Centre “Crystallography and Photonics” of Russian Academy of Sciences, 151 Molodogvardeyskaya St., 443001 Samara, Russia
Egor V. Byzov
Image Processing Systems Institute—Branch of the Federal Scientific Research Centre “Crystallography and Photonics” of Russian Academy of Sciences, 151 Molodogvardeyskaya St., 443001 Samara, Russia
Albert A. Mingazov
Image Processing Systems Institute—Branch of the Federal Scientific Research Centre “Crystallography and Photonics” of Russian Academy of Sciences, 151 Molodogvardeyskaya St., 443001 Samara, Russia
Gor J. Karapetian
Image Processing Systems Institute—Branch of the Federal Scientific Research Centre “Crystallography and Photonics” of Russian Academy of Sciences, 151 Molodogvardeyskaya St., 443001 Samara, Russia
Vitalii I. Smorodin
Image Processing Systems Institute—Branch of the Federal Scientific Research Centre “Crystallography and Photonics” of Russian Academy of Sciences, 151 Molodogvardeyskaya St., 443001 Samara, Russia
Nikolay L. Kazanskiy
Image Processing Systems Institute—Branch of the Federal Scientific Research Centre “Crystallography and Photonics” of Russian Academy of Sciences, 151 Molodogvardeyskaya St., 443001 Samara, Russia
Dmitry A. Bykov
Image Processing Systems Institute—Branch of the Federal Scientific Research Centre “Crystallography and Photonics” of Russian Academy of Sciences, 151 Molodogvardeyskaya St., 443001 Samara, Russia
Evgeni A. Bezus
Image Processing Systems Institute—Branch of the Federal Scientific Research Centre “Crystallography and Photonics” of Russian Academy of Sciences, 151 Molodogvardeyskaya St., 443001 Samara, Russia
We consider a version of the supporting quadric method for designing freeform mirrors that generate prescribed irradiance distributions in the near field. The method is derived for a general case of an incident beam with an arbitrary wavefront. As an example, for a practically important special case of a plane incident wavefront, we design a freeform mirror that generates a complex-shaped uniform irradiance distribution in the form of the abbreviation “IPSI” on a zero background. The designed mirror is fabricated and qualitatively investigated in a proof-of-concept optical experiment. The experimental results confirm the correctness of the proposed approach and demonstrate the manufacturability of the mirrors designed using the considered method.
