Limits of diffractive optics by communication modes

Thaning, Anna; Martinsson, Per-Gunnar; Karelin, M. U.; Friberg, Ari T.

doi:10.1088/1464-4258/5/3/301

Cited by 29 publications

(18 citation statements)

References 11 publications

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“…was previously studied in the context of the diffraction limited optics by Thaning et al in [20], and the analysis here follows their approach. Equation (10) can be expanded via the spectral theorem as…”

Section: Spatial Degrees Of Freedommentioning

confidence: 99%

Indoor Millimeter Wave MIMO: Feasibility and Performance

Torkildson

Madhow

Rodwell

2011

IEEE Trans. Wireless Commun.

261

179

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Abstract-In this paper, we investigate spatial multiplexing at millimeter (mm) wave carrier frequencies for short-range indoor applications by quantifying fundamental limits in line-of-sight (LOS) environments and then investigating performance in the presence of multipath and LOS blockage. Our contributions are summarized as follows. For linear arrays with constrained form factor, an asymptotic analysis based on the properties of prolate spheroidal wave functions shows that a sparse array producing a spatially uncorrelated channel matrix effectively provides the maximum number of spatial degrees of freedom in a LOS environment, although substantial beamforming gains can be obtained by using denser arrays. This motivates our proposed mm-wave MIMO architecture, which utilizes arrays of subarrays to provide both directivity and spatial multiplexing gains. System performance is evaluated in a simulated indoor environment using a ray-tracing model that incorporates multipath effects and potential LOS blockage. Eigenmode transmission with waterfilling power allocation serves as a performance benchmark, and is compared to the simpler scheme of beamsteering transmission with MMSE reception and a fixed signal constellation. Our numerical results provide insight into the spatial variations of attainable capacity within a room, and the combinations of beamsteering and spatial multiplexing used in different scenarios.Index Terms-Millimeter wave communication, MIMO, channel capacity, antenna arrays.

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Section: Spatial Degrees Of Freedommentioning

confidence: 99%

Indoor Millimeter Wave MIMO: Feasibility and Performance

Torkildson

Madhow

Rodwell

2011

IEEE Trans. Wireless Commun.

261

179

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“…Communication modes were introduced for coherent scalar fields as orthogonal spatial channels of communication between two volumes [18,19]. The formalism was subsequently used to describe specific problems of propagation through optical systems and between entrance and exit apertures of certain shapes [19][20][21][22][23][24][25][26]. The concept has been extended to arbitrary volumes containing scatterers to describe the limits and optimize design strategies of optical elements [27,28].…”

Section: Communication Modes For Coherent and Partially Coherent Fieldsmentioning

confidence: 99%

Coherence filtering and revivals in x-ray waveguides: a communication-modes approach

Pelliccia

Paganin

2014

J. Opt. Soc. Am. A

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Waveguides for short-wavelength x-rays have been successfully employed for microbeam and nanobeam production and microscopy experiments. The coherence of hard x-ray sources is generally poor, and therefore the spatial coherence filtering characteristics of waveguides have been attractive for high-resolution microscopy experiments. To quantify the spatial coherence filtering properties of a waveguide, we here report a theoretical study of the propagation of a partially coherent beam in a waveguide in the paraxial approximation. By propagating the cross-spectral density function associated with the partially coherent field, we quantify in detail the evolution of the spatial coherence as the beam proceeds along the waveguide. The propagation is efficiently accomplished using the communication-modes formalism. The generality of the approach makes it suitable to study more complex phenomena such as the second-order Talbot self-imaging effect and coherence revivals in waveguides. Numerical results are shown for waveguides illuminated by partially coherent hard x-rays.

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“…It can give a measure on how complicated the design of an optical system can be [12]. By interpreting the scattering operator as a propagator of information, the NDF has also been linked to the number of independent channels of communication which significantly connect (i.e., with coupling coefficient higher than a noise dependent threshold) the scattering and the measurement volumes [13][14][15][16][17]. By following further the information point of view, for many times the NDF has been considered a measure of the information that can be conveyed back from scattered field measurements to the scatterer [18,19].…”

Section: Introductionmentioning

confidence: 99%

The Role of Diversity on Linear Scattering Operator: The Case of Strip Scatterers Observed under the Fresnel Approximation

Maisto

Munno

2019

Electronics

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The aim of this paper is to investigate the role of multiple views and multiple frequencies in linear inverse scattering problems. The study was performed assuming the Fresnel-zone approximation on the scattering operator. Due to the crucial role played by singular values into analysing the linear inverse scattering problems, the impact of view and frequency diversities on singular values behaviour was established. In fact, the singular values were related to the most common metrics used to quantify the achievable performances in inverse scattering problems, such as the number of degrees of freedom (NDF), the information content and the resolution.

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Limits of diffractive optics by communication modes

Cited by 29 publications

References 11 publications

Indoor Millimeter Wave MIMO: Feasibility and Performance

Indoor Millimeter Wave MIMO: Feasibility and Performance

Coherence filtering and revivals in x-ray waveguides: a communication-modes approach

The Role of Diversity on Linear Scattering Operator: The Case of Strip Scatterers Observed under the Fresnel Approximation

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