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Applied Optics

Applied Optics


  • Vol. 20, Iss. 11 — Jun. 1, 1981
  • pp: 2017–2025

Diffraction theory for an achromatic Fourier transformation

G. M. Morris  »View Author Affiliations

Applied Optics, Vol. 20, Issue 11, pp. 2017-2025 (1981)

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A three-lens achromatic Fourier transform system is analyzed in the context of paraxial Fresnel diffraction theory. From the analysis a general solution for the required wavelength dependence of the various lenses is found. A particular arrangement of the general system is then considered. Using first-order lens design principles, it is shown that each dispersive lens can be fabricated using a holographic zone lens and glass element cascade. The paraxial chromatic aberrations of the resulting system are calculated. It is found that this system design yields an achromatic transformation that is well corrected (paraxially) over the entire visible spectrum.

© 1981 Optical Society of America

Original Manuscript: December 20, 1980
Published: June 1, 1981

G. M. Morris, "Diffraction theory for an achromatic Fourier transformation," Appl. Opt. 20, 2017-2025 (1981)

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  13. This transform design is based on Eq. (6) and Eqs. (10)–(15) of Ref. 7. The following parameters were used to attain the lens powers in Eq. (34): N = −1; M0 = −1, f0 = a = S = 0.5 m, and z = −a.

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