Efficient computation of 2D point-spread functions for diffractive lenses

Date

2020-01-10

Author

Ayazgok, Suleyman
Öktem, Sevinç Figen

Metadata

Show full item record

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Item Usage Stats

73
views

0
downloads

Diffractive lenses, such as Fresnel zone plates, photon sieves, and their modified versions, have been of significant recent interest in high-resolution imaging applications. As the advent of diffractive lens systems with different configurations expands, the fast and accurate simulation of these systems becomes crucial for both the design and image reconstruction tasks. Here we present a fast and accurate method for computing the 2D point-spread function (PSF) of an arbitrary diffractive lens. The method is based on the recently derived closed-form mathematical formula for the PSF and the transfer function of a diffractive lens. In the method, first, the samples of the transfer function are computed using the transmittance function of the diffractive lens, and then the inverse Fourier transform of this transfer function is computed to obtain the PSF. For accurate computation, the selection of the sampling parameters is handled with care, and simple selection rules are provided for this purpose. The developed method requires a single fast Fourier transform, and, therefore, has little computational complexity. Moreover, it is also applicable to any diffractive lens configuration with arbitrary-shaped structures and modulation. As a result, this fast and accurate PSF computation method enables efficient simulation, analysis, and development of diffractive lens systems under both focused and defocused settings. (C) 2020 Optical Society of America

Subject Keywords

Atomic and Molecular Physics, and Optics

URI

https://hdl.handle.net/11511/36726

Journal

APPLIED OPTICS

DOI

https://doi.org/10.1364/ao.59.000445

Collections

Department of Electrical and Electronics Engineering, Article

Suggestions

OpenMETU
Core

Lens optics and the continuity problems of the ABCD matrix Baskal, S.; Kim, Y. S. (Informa UK Limited, 2014-01-19) Paraxial lens optics is discussed to study the continuity properties of the ABCD beam transfer matrix. The two-by-two matrix for the one-lens camera-like system can be converted to an equi-diagonal form by a scale transformation, leaving the off-diagonal elements invariant. It is shown that the matrix remains continuous during the focusing process, but this transition is not analytic. However, its first derivative is still continuous, which leads to the concept of 'tangential continuity'. It is then shown t...
Performance of M-ary pulse position modulation for aeronautical uplink communications in an atmospheric turbulent medium Ata, Yalcin; Baykal, Yahya; Gokce, Muhsin Caner (The Optical Society, 2019-10-01) This paper discusses the bit-error-rate (BER) performance of an aeronautical uplink optical wireless communication system (OWCS) when a Gaussian beam is employed and the M-ary pulse position modulation technique is used in an atmospheric turbulent medium. Weak turbulence conditions and log-normal distribution are utilized. The Gaussian beam is assumed to propagate on a slant path, the transmitter being ground-based, and the airborne receiver is on-axis positioned. Variations of BER are obtained against the ...
High power microsecond fiber laser at 1.5 μm Pavlova, Svitlana; Yagci, M. Emre; Eken, S. Koray; Tunckol, Ersan; Pavlov, Ihor (The Optical Society, 2020-06-08) © 2020 Optical Society of America.In this work, we demonstrate a single frequency, high power fiber-laser system, operating at 1550 nm, generating controllable rectangular-shape μs pulses. In order to control the amplified spontaneous emission content, and overcome the undesirable pulse steepening during the amplification, a new method with two seed sources operating at 1550 nm and 1560 nm are used in this system. The output power is about 35 W in CW mode, and the peak power is around 32 W in the pulsed mod...
Efficient Numerical Algorithm for Cascaded Raman Fiber Lasers Using a Spectral Method Tarman, Işık Hakan (Institute of Electrical and Electronics Engineers (IEEE), 2009-07-01) Over recent decades, fiber Raman lasers (FRLs) have received much attention from researchers and have become a challenge for them both numerically and experimentally. The equations governing the FRLs are in the form of a first-order system of nonlinear two-point boundary-value ordinary differential equations. In this paper, an algorithm for solving this system of differential equations using a spectral method, namely Chebyshev pseudospectral method, is presented in detail and then numerical simulations are ...
Compressive spectral imaging with diffractive lenses Kar, Oguzhan Fatih; Öktem, Sevinç Figen (The Optical Society, 2019-09-15) Compressive spectral imaging enables the reconstruction of an entire 3D spectral cube from a few multiplexed images. Here we develop a novel compressive spectral imaging technique using diffractive lenses. Our technique uses a coded aperture to spatially modulate the optical field from the scene and a diffractive lens such as a photon sieve for both dispersion and focusing. Measurement diversity is achieved by changing the focusing behavior of the diffractive lens. The 3D spectral cube is then reconstructed...

Citation Formats

S. Ayazgok and S. F. Öktem, “Efficient computation of 2D point-spread functions for diffractive lenses,” APPLIED OPTICS, pp. 445–451, 2020, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/36726.