ICACT20220320 Slide.22
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Thank you
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ICACT20220320 Slide.21
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Conclusion
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ICACT20220320 Slide.20
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Algorithm and determination of the domain in this case:
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ICACT20220320 Slide.19
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For the rest we consider the following hypothesis:
There is no function g0 defined on GaMa0 non-zero and positive such that:
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ICACT20220320 Slide.18
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Domain analysis and identification process In spherical Reference Frame: The phenomenon is modeled by the equation:
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ICACT20220320 Slide.17
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Assuming beforehand that the corresponding U'ai(0)valuesforeachnodeai of the domain representing an optical fiber transmission line. Values were mea sured and stored in a database, as shown in the table below:
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ICACT20220320 Slide.16
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In order to determine the domain of the phenomenon, it will be neces-
sary first of all to find the good function (the good signal) with which it will be necessary to use for the excitation of the phenomenon on the edge of the domain
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ICACT20220320 Slide.15
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Domain analysis and identification process In Cylindrical Reference Frame: The phenomenon is modeled by the equation:
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ICACT20220320 Slide.14
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Boundary conditions associated with Helmholtz equation Existence and unicity of the solution is also proved
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ICACT20220320 Slide.13
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Explanation Continue
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ICACT20220320 Slide.12
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Wave propagation in a transmission medium (coaxial cable in free space, isotropic medium). Here the problem is well define and also available in two, three dimension, cylindrical, and spherical.
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ICACT20220320 Slide.11
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Models of problem: Boundray conditions associated with Laplace equation Existence and Unicity of the solution
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ICACT20220320 Slide.10
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In this section we describe problem models that justify our theory: Steam retention in a transmission medium
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ICACT20220320 Slide.09
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Maximum principle
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ICACT20220320 Slide.08
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Before finding the solution, we make some mathematical reminders on concepts to use in our work. Distribution theory, Maximum principle
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ICACT20220320 Slide.07
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So we want to Identify the domain by Frontier Observation In Cylindrical And Spherical Reference Frame
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ICACT20220320 Slide.06
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Position of the problem: In this section, If the known edge of a domain is excited by a good signal, then depending on the power we can determine the extent of the global domain (Cylindrical And Spherical Reference Frame)
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ICACT20220320 Slide.05
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Position of the problem: In this section, we show and justify that the problem exists and can be determined as a function of the extent of a space to consider.
We are finding the domain in Cylindrical and spherical reference frame
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ICACT20220320 Slide.04
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Position of the problem
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ICACT20220320 Slide.03
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The objective of this work was to carry out the determination procedures to identify a domain by looking border. We proved that if well-defined signals are sent on the known edge Γ_0 of a regular field Ω on cylindrical and spherical shapes, where prevail some phenomena modelled by partial derivative equations and that following a certain number of ow measurements on the same edge, knowing ∫_(Γ_0)▒〖∂u/∂n gdΓ〗 (where n indicates the normal external of ∂Ω), it is possible to find a method which leads to the determination of Ω. The demonstration were made in the cylindrical and spherical references frames of a domain
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ICACT20220320 Slide.02
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The Content of the presentation will focus on:
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ICACT20220320 Slide.01
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Hi everybody, my name is James Tamgno kouawa. To carry out the research work that led to the presentation of this article, the team of the eINOV laboratory of the Ecole Supérieure Multinationale des Télécommunications (ESMT) of Dakar cooperated with the team of researchers from the Laboratoire d'Informatique, de Télécommunications et Applications (LITA) of the Ecole Supérieure Polytechnique (ESP) of Dakar.
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