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De Tommasi, E.; Rogato, A.; Caratelli, D.; Mescia, L.; Gielis, J. |
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Title |
Following the photons route : mathematical models describing the interaction of diatoms with light |
Type |
H1 Book chapter |
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Year |
2022 |
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1-53 |
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H1 Book chapter; Engineering sciences. Technology; Sustainable Energy, Air and Water Technology (DuEL) |
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Abstract |
The interaction of diatoms with sunlight is fundamental in order to deeply understand their role in terrestrial ecology and biogeochemistry, essentially due to their massive contribution to global primary production through photosynthesis and its e↵ect on carbon, oxygen and silicon cycles. Following the journey of light through natural waters, its propagation through the intricate frustule micro- and nano-structure and, finally, its fate inside the photosynthetic machinery of the living cell requires several mathematical and computational models in order to accurately describe all the involved phenomena taking place at di↵erent space scales and physical regimes. In this chapter, we review the main analytical models describing the underwater optical field, the essential numerical algorithms for the study of photonic properties of the diatom frustule seen as a natural metamaterial, as well as the principal models describing photon harvesting in diatom plastids and methods for complex EM propagation problems and wave propagation in dispersive materials with multiple relaxation times. These mathematical methods will be integrated in a unifying geometric perspective. |
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978-1-119-74985-1 |
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Most recent IF: NA |
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Call Number |
UA @ admin @ c:irua:186731 |
Serial |
7165 |
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Author |
Gielis, J.; Shi, P.; Caratelli, D. |
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Title |
Universal equations : a fresh perspective |
Type |
A1 Journal article |
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Year |
2022 |
Publication |
Growth and Form |
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A1 Journal article; Sustainable Energy, Air and Water Technology (DuEL) |
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A uniform description of natural shapes and phenomena is an important goal in science. Such description should check some basic principles, related to 1) the complexity of the model, 2) how well its fits real objects, phenomena and data, and 3) ia direct connection with optimization principles and the calculus of variations. In this article, we present nine principles, three for each group, and we compare some models with a claim to universality. It is also shown that Gielis Transformations and power laws have a common origin in conic sections |
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Most recent IF: NA |
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Call Number |
UA @ admin @ c:irua:189317 |
Serial |
7224 |
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Author |
Gielis, J.; Caratelli, D.; Tavkelidze, I.; Fougerolle, Y.; Ricci, P.E.; Gerats, T. |
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Title |
Bulky knots and links generated by cutting generalized Mobius-Listing bodies and applications in the natural sciences |
Type |
H2 Book chapter |
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Year |
2013 |
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Volume |
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Pages |
167-183
T2 - Math Art Summit : Koninklijke Vlaamse |
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Keywords |
H2 Book chapter; Engineering sciences. Technology; Sustainable Energy, Air and Water Technology (DuEL) |
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ISBN |
978-90-6569-119-4 |
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no |
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Call Number |
UA @ admin @ c:irua:110955 |
Serial |
7569 |
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Author |
Caratelli, D.; Gielis, J.; Ricci, P.E. |
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Title |
Fourier-like solution of the Dirichlet problem for the Laplace Equation in k-type Gielis domains |
Type |
A1 Journal article |
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Year |
2011 |
Publication |
Journal of pure and applied mathematics : advances and applications |
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Volume |
5 |
Issue |
2 |
Pages |
99-111 |
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Keywords |
A1 Journal article; Sustainable Energy, Air and Water Technology (DuEL) |
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Abstract |
The interior and exterior Dirichlet problems for the Laplace equation in k-type Gielis domains are analytically addressed by using a suitable Fourier-like technique. A dedicated numerical procedure based on the computer-aided algebra tool Mathematica© is developed in order to validate the proposed approach. In this way, highly accurate approximations of the solution, featuring properties similar to the classical ones, are obtained. Computed results are found to be in good agreement with theoretical findings on Fourier series expansion presented by Carleson. |
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no |
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Call Number |
UA @ admin @ c:irua:91090 |
Serial |
7982 |
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Author |
Gielis, J.; Caratelli, D.; Tavkhelidze, I. |
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Title |
The general case of cutting GML bodies : the geometrical solution |
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H1 Book chapter |
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Year |
2020 |
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Pages |
397-411
T2 - Differential and difference equations |
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Keywords |
H1 Book chapter; Engineering sciences. Technology; Sustainable Energy, Air and Water Technology (DuEL) |
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2020-10-21 |
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ISBN |
978-3-030-56322-6 |
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Approved |
Most recent IF: NA |
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Call Number |
UA @ admin @ c:irua:174477 |
Serial |
7991 |
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Author |
Gielis, J.; Shi, P.; Beirinckx, B.; Caratelli, D.; Ricci, P.E. |
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Title |
Lamé-Gielis curves in biology and geometry |
Type |
P3 Proceeding |
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Year |
2021 |
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P3 Proceeding; Sustainable Energy, Air and Water Technology (DuEL) |
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Most recent IF: NA |
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Call Number |
UA @ admin @ c:irua:178828 |
Serial |
8145 |
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Author |
Gielis, J.; Verhulst, R.; Caratelli, D.; Ricci, P.E.; Tavkhelidze, I. |
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Title |
On means, polynomials and special functions |
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A1 Journal article |
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Year |
2014 |
Publication |
The teaching of mathematics |
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Volume |
17 |
Issue |
1 |
Pages |
1-20 |
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Keywords |
A1 Journal article; Educational sciences; Sustainable Energy, Air and Water Technology (DuEL) |
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ISSN |
1451-4966; 2406-1077 |
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no |
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Call Number |
UA @ admin @ c:irua:128660 |
Serial |
8327 |
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Author |
Caratelli, D.; Gielis, J.; Ricci, P.E.; Tavkhelidze, I. |
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Title |
Some properties of “bulky” links, generated by Generalized Möbius Listing's bodies GML4n |
Type |
A2 Journal article |
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Year |
2016 |
Publication |
Journal of mathematical sciences |
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Volume |
216 |
Issue |
4 |
Pages |
509-518 |
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Keywords |
A2 Journal article; Engineering sciences. Technology; Sustainable Energy, Air and Water Technology (DuEL) |
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Abstract |
In the present paper, we consider the bulky knots and bulky links that appear after cutting of generalized MöbiusListing GML 4 n bodies (with corresponding radial cross sections square) along different generalized MöbiusListing surfaces GML 2 n situated in it. The aim of this article is to examine the number and geometric structure of independent objects that appear after such a cutting process of GML 4 n bodies. In most cases, we are able to count the indices of the resulting mathematical objects according to the known tabulation for knots and links of small complexity. |
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2016-06-10 |
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ISSN |
1072-3374; 1573-8795 |
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no |
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Call Number |
UA @ admin @ c:irua:133948 |
Serial |
8554 |
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Author |
Caratelli, D.; Gielis, J.; Ricci, P.E.; Tavkhelidze, I. |
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Title |
Some properties of “bulky” links, generated by Generalized Möbius Listing's bodies GML4n |
Type |
P3 Proceeding |
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Year |
2013 |
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P3 Proceeding; Engineering sciences. Technology; Sustainable Energy, Air and Water Technology (DuEL) |
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no |
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Call Number |
UA @ admin @ c:irua:108672 |
Serial |
8555 |
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Author |
Caratelli, D.; Gielis, J.; Tavkhelidze, I.; Ricci, P.E. |
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Title |
Spherical harmonic solution of the Robin problem for the Helmholtz equation in a supershaped shell |
Type |
A1 Journal article |
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Year |
2013 |
Publication |
Applied mathematics |
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Volume |
4 |
Issue |
1a |
Pages |
263-270 |
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Keywords |
A1 Journal article; Engineering sciences. Technology; Sustainable Energy, Air and Water Technology (DuEL) |
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Abstract |
The Robin problem for the Helmholtz equation in normal-polar shells is addressed by using a suitable spherical harmonic expansion technique. Attention is in particular focused on the wide class of domains whose boundaries are defined by a generalized version of the so-called superformula introduced by Gielis. A dedicated numerical procedure based on the computer algebra system Mathematica? is developed in order to validate the proposed methodology. In this way, highly accurate approximations of the solution, featuring properties similar to the classical ones, are obtained. |
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2013-01-30 |
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2152-7385 |
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no |
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Call Number |
UA @ admin @ c:irua:107177 |
Serial |
8576 |
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Author |
Bhatia, H.; Keshavarz, M.; Martin, C.; Van Gaal, L.; Zhang, Y.; de Coen, B.; Schrenker, N.J.; Valli, D.; Ottesen, M.; Bremholm, M.; Van de Vondel, J.; Bals, S.; Hofkens, J.; Debroye, E. |
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Title |
Achieving High Moisture Tolerance in Pseudohalide Perovskite Nanocrystals for Light-Emitting Diode Application |
Type |
A1 Journal Article |
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Year |
2023 |
Publication |
ACS Applied Optical Materials |
Abbreviated Journal |
ACS Appl. Opt. Mater. |
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Volume |
1 |
Issue |
6 |
Pages |
1184-1191 |
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Keywords |
A1 Journal Article; Electron Microscopy for Materials Science (EMAT) ; |
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Abstract |
The addition of potassium thiocyanate (KSCN) to the FAPbBr3 structure and subsequent post-treatment of nanocrystals (NCs) lead to high quantum confinement, resulting in a photoluminescent quantum yield (PLQY) approaching unity and microsecond decay times. This synergistic approach demonstrated exceptional stability under humid conditions, retaining 70% of the PLQY for over a month, while the untreated NCs degrade within 24 h. Additionally, the devices incorporating the post-treated NCs displayed 1.5% external quantum efficiency (EQE), a 5-fold improvement over untreated devices. These results provide promising opportunities for the use of perovskites in moisture-stable optoelectronics. |
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2023-06-23 |
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2771-9855 |
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OpenAccess |
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Notes |
Hercules Foundation, HER/11/14 ; European Commission; Ministerio de Ciencia e Innovaci?n, PID2021-128761OA-C22 ; European Regional Development Fund; Vlaamse regering, CASAS2 Meth/15/04 ; Fonds Wetenschappelijk Onderzoek, 1238622N 1514220N 1S45223N G.0B39.15 G.0B49.15 G098319N S002019N ZW15_09-GOH6316 ; Onderzoeksraad, KU Leuven, C14/19/079 db/21/006/bm iBOF-21-085 STG/21/010 ; Junta de Comunidades de Castilla-La Mancha, SBPLY/21/180501/000127 ; H2020 European Research Council, 642196 815128 ; |
Approved |
Most recent IF: NA |
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Call Number |
EMAT @ emat @c:irua:201011 |
Serial |
8975 |
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Author |
Mescia, L.; Bia, P.; Gielis, J.; Caratelli, D. |
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Title |
Advanced particle swarm optimization methods for electromagnetics |
Type |
P1 Proceeding |
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Year |
2023 |
Publication |
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Abbreviated Journal |
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Volume |
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Issue |
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Pages |
109-122
T2 - Proceedings of the 1st International |
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Keywords |
P1 Proceeding; Engineering sciences. Technology; Sustainable Energy, Air and Water Technology (DuEL) |
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Abstract |
Electromagnetic design problems involve optimizing multiple parameters that are nonlinearly related to objective functions. Traditional optimization techniques require significant computational resources that grow exponentially as the problem size increases. Therefore, a method that can produce good results with moderate memory and computational resources is desirable. Bioinspired optimization methods, such as particle swarm optimization (PSO), are known for their computational efficiency and are commonly used in various scientific and technological fields. In this article we explore the potential of advanced PSO-based algorithms to tackle challenging electromagnetic design and analysis problems faced in real-life applications. It provides a detailed comparison between conventional PSO and its quantum-inspired version regarding accuracy and computational costs. Additionally, theoretical insights on convergence issues and sensitivity analysis on parameters influencing the stochastic process are reported. The utilization of a novel quantum PSO-based algorithm in advanced scenarios, such as reconfigurable and shaped lens antenna synthesis, is illustrated. The hybrid modeling approach, based on the unified geometrical description enabled by the Gielis Transformation, is applied in combination with a suitable quantum PSO-based algorithm, along with a geometrical tube tracing and physical optics technique for solving the inverse problem aimed at identifying the geometrical parameters that yield optimal antenna performance. |
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2023-11-29 |
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978-90-833839-0-3 |
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UA library record |
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Approved |
Most recent IF: NA |
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Call Number |
UA @ admin @ c:irua:201048 |
Serial |
9002 |
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