Communication modes in scalar diffraction

Martinsson, Per-Gunnar; Ma, Ping; Burvall, Anna; Friberg, Ari T.

doi:10.1016/j.ijleo.2006.07.009

Cited by 12 publications

(7 citation statements)

References 17 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Though technically only valid if we consider the entire closed surface, typically we pretend that we can consider effective sources only over some finite surface corresponding to the aperture of the system. See discussions of communications modes for scalar [117] and vector [118] diffraction, and [89] for the Debye-Wolf vector wave approach to a diffraction operator.…”

Section: Diffraction Operatorsmentioning

confidence: 99%

Waves, modes, communications, and optics: a tutorial

Miller¹

2019

Adv. Opt. Photon.

144

105

View full text Add to dashboard Cite

Modes generally provide an economical description of waves, reducing complicated wave functions to finite numbers of mode amplitudes, as in propagating fiber modes and ideal laser beams. But finding a corresponding mode description for counting the best orthogonal channels for communicating between surfaces or volumes, or for optimally describing the inputs and outputs of a complicated optical system or wave scatterer, requires a different approach. The singular-value decomposition approach we describe here gives the necessary optimal source and receiver "communication modes" pairs and device or scatterer input and output "mode-converter basis function" pairs. These define the best communication or input/output channels, allowing precise counting and straightforward calculations. Here we introduce all the mathematics and physics of this approach, which works for acoustic, radio-frequency and optical waves, including full vector electromagnetic behavior, and is valid from nanophotonic scales to large systems. We show several general behaviors of communications modes, including various heuristic results. We also establish a new "M-gauge" for electromagnetism that clarifies the number of vector wave channels and allows a simple and general quantization. This approach also gives a new modal "M-coefficient" version of Einstein's A&B coefficient argument and revised versions of Kirchhoff's radiation laws. The article is written in a tutorial style to introduce the approach and its consequences. Hermitian adjoints and Dirac bra-ket notation

show abstract

Section: Diffraction Operatorsmentioning

confidence: 99%

Waves, modes, communications, and optics: a tutorial

Miller¹

2019

Adv. Opt. Photon.

144

105

View full text Add to dashboard Cite

show abstract

“…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%

“…Gx; X ≡ Gx; X; z 1 ; z 2 is the Green function of the system, and the integral is extended to the input (two-dimensional) domain. When G is an integral operator of the Hilbert-Schmidt class (i.e., it is squareintegrable over both input and output domains), one can introduce singular values and singular functions such that the Green function can be expanded as [25,29] Gx; X X m g m φ m xψ m X:…”

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

View full text Add to dashboard Cite

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.

show abstract

“…Optimal communication channels represent a unifying framework for optical physics [4,[34][35][36][37] with a wide range of applications in communication sciences [38][39][40][41][42][43][44][45][46][47][48][49][50]. The Green's-function operator that connects a source volume to a receiver volume, while accounting for all possible background scattering, unambigously identifies the optimal channel profiles and their coupling strengths through its singular vectors and singular values, respectively [1][2][3][4].…”

Section: Introductionmentioning

confidence: 99%

Bounds on the Coupling Strengths of Communication Channels and Their Information Capacities

Kuang¹,

Miller²,

Miller³

2022

Preprint

View full text Add to dashboard Cite

The concept of optimal communication channels shapes our understanding of wave-based communication. Its analysis, however, always pertains to specific communication-domain geometries, without a general theory of scaling laws or fundamental limits. In this article, we derive shapeindependent bounds on the coupling strengths and information capacities of optimal communication channels for any two domains that can be separated by a spherical surface. Previous computational experiments have always observed rapid, exponential decay of coupling strengths, but our bounds predict a much slower, sub-exponential optimal decay, and specific source/receiver distributions that can achieve such performance. Our bounds show that domain sizes and configurations, and not domain shapes, are the keys to maximizing the number of non-trivial communication channels and total information capacities. Applicable to general wireless and optical communication systems, our bounds reveal fundamental limits to what is possible through engineering the communication domains of electromagnetic waves.

show abstract

Communication modes in scalar diffraction

Cited by 12 publications

References 17 publications

Waves, modes, communications, and optics: a tutorial

Waves, modes, communications, and optics: a tutorial

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

Bounds on the Coupling Strengths of Communication Channels and Their Information Capacities

Contact Info

Product

Resources

About