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M3P2
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7aea7316
Commit
7aea7316
authored
Oct 29, 2023
by
Claude Meny
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Update annex.fr.md
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12.temporary_ins/65.geometrical-optics/60.optical-systems/10.thick-lens/30.beyond/annex.fr.md
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7aea7316
...
@@ -201,42 +201,45 @@ visible: false
...
@@ -201,42 +201,45 @@ visible: false
! <!--question 1-->
! <!--question 1-->
! <details markdown=1>
! <details markdown=1>
! <summary>
! <summary>
!
(traduction en cours) What is the scientifical framework you choose to study this problem
?
!
Quel cadre scientifique choisis-tu pour étudier ce problème
?
! </summary>
! </summary>
! * All the characteristic sizes in this problem are much bigger than the wavelength of
! * Toutes les tailles caractéristiques dans ce problème sont beaucoup plus grandes
! the visible radiation ($`
\l
ambda
\a
pprox5
\m
u m
`$), so I deal with this problem in the
! que les longueurs d'onde de la lumière visible ($`
\l
ambda
\a
pprox5
\m
u m
`$), donc
! framework of geometrical optics, and in the paraxial approximation in order to
! je vais étudier ce problème dans le cadre de l'optique géométrique.
! characterize the image.
!
!
! * Depuis la lentille-boule, la cathédrale est observée sous un angle apparent de
! * The cathedral sustains an angle of $`
arctan
\d
frac{90}{400}=13°
`$ from the lensball.
! $`
arctan
\l
eft(
\d
frac{90}{400}
\r
ight)=13°
`$.
! This value seems reasonable to justify at first order the use of the paraxial approximation
! Pour cette valeur d'angle, il semble raisonnable d'étudier ce problème dans le sous-cadre
! (_we usually consider that angles of incidence would not exceed 10° on the various simple
! de l'optique gaussienne, c'est à dire de considérer que les approximations de Gauss
! optical element encountered between the objet (here the cathedral) and the final image
! (ou approximations paraxiales) sont suffisantes pour décrire mes observations.<br>
! (retina of the eye or matrix sensor of a camera_).
!
! _En absence de critères plus précis, comme la taille du pixel d'un capteur matriciel photosensible_
! _qui enregistrerait une image réalisée dans son plan, on considère comme ordre de grandeur, que_
! _des angles $`
\a
lpha
`$ d'incidence et de réfraction inférieurs à $`
\a
lpha
\l
e 10°
`$ permettent_
! _d'utiliser les conditions de Gauss pour réaliser les calculs._
! </details>
! </details>
! <!--question 2-->
! <!--question 2-->
! <details markdown=1>
! <details markdown=1>
! <summary>
! <summary>
! D
escribe the optical system for this use of the lensball
.
! D
écris le système optique qui modélise la lentille-boule
.
! </summary>
! </summary>
!
!
! *
The lensball breaks down into two refracting spherical surfaces sharing the same
! *
La lentille-boule se modélise comme deux dioptres sphériques partageant
!
centre of curvature C and of opposite radius (in algebraic val
ues).
!
le même centre de courbure, et de rayons de courbures opposés (en valeurs algébriq
ues).
!
!
! </details>
! </details>
! <!--question 3-->
! <!--question 3-->
! <details markdown=1>
! <details markdown=1>
! <summary>
! <summary>
!
What is your method of re
solution ?
!
Quelle est votre méthode de ré
solution ?
! </summary>
! </summary>
! * You don't use general equations 3a and 3b for a thick lens, they are too complicated
!
<!-----
* You don't use general equations 3a and 3b for a thick lens, they are too complicated
! to remind, and you don't have in m3p2 to "use" but to "build a reasoning". And you don't
! to remind, and you don't have in m3p2 to "use" but to "build a reasoning". And you don't
! know at this step how to handle with centered optical systems.
! know at this step how to handle with centered optical systems.-->
!
! * Je calcule l'image de la cathédrale par le premier dioptre sphérique $`
DS_1
`$ rencontré par la lumière
! * But this system is simple, so you will calculate the image of the cathedral by the
! lors de sa propagation depuis l'object "cathédrale" vers l'oeil final.<br>
! first spherical refracting surface $`
DS_1
`$ encountered by the light from the cathedral $`
DS_1
`$.
! Cette image devient objet pour le second dioptre sphérique $`
DS_2
`$ rencontré par la lumière, ce
! Then this image becomes the object for the second spherical refracting surface $`
DS_2
`$
! qui me permet de calculer la taille, la position et le sens de l'image finale qui sera observée par l'oeil.
! and so I can determine position and size of the final image.
!
!
! * For a spherical refracting surface, general equations are :<br><br>
! * For a spherical refracting surface, general equations are :<br><br>
! $`
\d
frac{n_{fin}}{
\o
verline{SA_{ima}}}-
\d
frac{n_{ini}}{
\o
verline{SA_{obj}}}=
\d
frac{n_{fin}-n_{ini}}{
\o
verline{SC}}
`$
! $`
\d
frac{n_{fin}}{
\o
verline{SA_{ima}}}-
\d
frac{n_{ini}}{
\o
verline{SA_{obj}}}=
\d
frac{n_{fin}-n_{ini}}{
\o
verline{SC}}
`$
...
...
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