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We propose a method for designing refractive optical elements for collimated beam shaping. In this method, the problem of finding a ray mapping is formulated as a linear assignment problem, which is a discrete version of the corresponding…

The efficient design of continuous freeform surfaces, which transform a given source into an arbitrary target intensity, remains a challenging problem. A popular approach are ray-mapping methods, where first a ray mapping between the…

Optics · Physics 2016-06-29 Christoph Bösel , Herbert Gross

In beam shaping applications, the minimization of the number of necessary optical elements for the beam shaping process can benefit the compactness of the optical system and reduce its cost. The single freeform surface design for input…

Optics · Physics 2017-08-10 Christoph Bösel , Herbert Gross

A mathematical model in terms of partial differential equations (PDE) for the calculation of double freeform surfaces for irradiance and phase control with predefined input and output wavefronts is presented. It extends the results of…

Optics · Physics 2018-01-24 Christoph Bösel , Herbert Gross

In this paper we propose a method to compute a freeform reflector system for collimating and shaping a beam from a point source. We construct these reflectors such that the radiant intensity of the source is converted into a desired target.…

A universal and flexible design method for freeform surface that can modulate the distribution of an zero-\'etendue source to an arbitrary irradiance distribution is a significant challenge in the field of non-imaging optics. Current design…

Optics · Physics 2023-03-31 Haoqiang Wang , Zihan Zang , Yunpeng Xu , Yanjun Han , Hongtao Li , Yi Luo

In this paper, colocated MIMO radar waveform design is considered by minimizing the integrated side-lobe level to obtain beam patterns with lower side-lobe levels than competing methods. First, a quadratic programming problem is formulated…

Information Theory · Computer Science 2018-07-24 Haisheng Xu , Rick S. Blum , Jian Wang , Jian Yuan

Since its formulation by Hamaker et al., the radio interferometer measurement equation (RIME) has provided a rigorous mathematical basis for the development of novel calibration methods and techniques, including various approaches to the…

Instrumentation and Methods for Astrophysics · Physics 2011-02-07 Oleg M. Smirnov

A ruled surface is a shape swept out by moving a line in 3D space. Due to their simple geometric forms, ruled surfaces have applications in various domains such as architecture and engineering. In the past, various approaches have been…

Graphics · Computer Science 2025-05-08 Yiling Pan , Zhixin Xu , Bin Wang , Bailin Deng

Dual-functional radar-communication (DFRC) has attracted considerable attention. This paper considers the frequency-selective multipath fading environment and proposes DFRC waveform design schemes based on multiple-input and multiple-output…

Information Theory · Computer Science 2025-09-10 Tianchen Liu , Yifei Liu , Liang Wu , Bo An , Zaichen Zhang , Jian Dang , Jiangzhou Wang

We consider the design of polyphase waveforms for ground moving target detection with airborne multiple-input-multiple-output (MIMO) radar. Due to the constant-modulus and finite-alphabet constraint on the waveforms, the associated design…

Signal Processing · Electrical Eng. & Systems 2020-10-28 Bo Tang , Jonathan Tuck , Peter Stoica

Non-imaging optical lenses can shape the light intensity from incoherent sources to a desired target intensity profile, which is important for applications in lighting, solar light concentration, and optical beam shaping. Their surface…

A path integral formulation is developed to study the spectrum of radiation from a perfectly reflecting (conducting) surface. It allows us to study arbitrary deformations in space and time. The spectrum is calculated to second order in the…

Quantum Physics · Physics 2009-10-31 Faez Miri , Ramin Golestanian

Paper I of the series re-derived the radio interferometry measurement equation (RIME) from first principles, and extended the Jones formalism to the full-sky case, incorporating direction-dependent effects (DDEs). This paper aims to…

Instrumentation and Methods for Astrophysics · Physics 2011-02-07 Oleg M. Smirnov

We present a cost-efficient and versatile method to map an unknown 3D freeform surface using only sparse measurements while the end-effector of a robotic manipulator moves along the surface. The geometry is locally approximated by a plane,…

Robotics · Computer Science 2021-10-08 Manuel Amersdorfer , Thomas Meurer

A model for beam customization with collimators and a range-compensating filter based on the phase-space theory for beam transport is presented for dose distribution calculation in treatment planning of radiotherapy with protons and heavier…

Medical Physics · Physics 2008-05-27 Nobuyuki Kanematsu , Shunsuke Yonai , Azusa Ishizaki , Masami Torikoshi

An integral equation-based approach for the design of dual band stacked metasurfaces which are invariant in one-dimension is presented. The stacked metasurface will generate collimated beams at desired angles in each band upon reflection.…

Applied Physics · Physics 2022-06-29 Jordan Budhu , Eric Michielssen , Anthony Grbic

The dual-functional radar-communication (DFRC) system is an attractive technique, since it can support both wireless communications and radar by a unified hardware platform with real-time cooperation. Considering the appealing feature of…

Signal Processing · Electrical Eng. & Systems 2021-12-21 Yu Cao , QiYue Yu

The knowledge of receiver beam shapes is essential for accurate radio interferometric imaging. Traditionally, this information is obtained by holographic techniques or by numerical simulation. However, such methods are not feasible for an…

Instrumentation and Methods for Astrophysics · Physics 2013-07-19 Sarod Yatawatta

This short tutorial presents several ideas for designing dual function radar communication (DFRC) systems aided by intelligent reflecting surfaces (IRS). These problems are highly nonlinear in the IRS parameter matrix, and further, the IRS…

Signal Processing · Electrical Eng. & Systems 2023-05-12 Yi-Kai Li , Athina Petropulu
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