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RESEARCH PRODUCT
On-axis diffractional behavior of two-dimensional pupils
Pedro AndrésManuel Martínez-corralJorge Ojeda-castanedasubject
PhysicsFresnel zoneAperturebusiness.industryMaterials Science (miscellaneous)Astrophysics::Instrumentation and Methods for AstrophysicsFresnel integralIndustrial and Manufacturing EngineeringOptical axissymbols.namesakeOpticsFourier transformApodizationsymbolsFresnel numberBusiness and International ManagementFocus (optics)businessdescription
We show that, at any Fresnel number, a suitable one-dimensional Fourier transform relates the complex-amplitude distribution along the optical axis with the zero-order circular harmonic of the amplitude transmittance of a two-dimensional diffracting screen. First, our general result is applied to recognize that any rationally nonsymmetric screen generates an axial-irradiance distribution that exhibits focal shift. In this way we identify a wide set of two-dimensional screens that produce the same focal shift as that produced by the clear circular aperture. Second, we identify several apodizers for shaping the axial-amplitude distribution. We discuss some examples for achieving high-precision focusing, axial hyperresolution, or high focal depth.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2010-10-02 | Applied Optics |