summaryrefslogtreecommitdiff
path: root/source/know/concept/step-index-fiber/index.md
diff options
context:
space:
mode:
authorPrefetch2022-10-23 22:18:11 +0200
committerPrefetch2022-10-23 22:18:11 +0200
commitbcae81336764eb6c4cdf0f91e2fe632b625dd8b2 (patch)
treebf353d26203b6792bb2ab5d7bbb5c65819c9e0a0 /source/know/concept/step-index-fiber/index.md
parent16555851b6514a736c5c9d8e73de7da7fc9b6288 (diff)
Optimize and improve naming of all images in knowledge base
Diffstat (limited to 'source/know/concept/step-index-fiber/index.md')
-rw-r--r--source/know/concept/step-index-fiber/index.md10
1 files changed, 3 insertions, 7 deletions
diff --git a/source/know/concept/step-index-fiber/index.md b/source/know/concept/step-index-fiber/index.md
index dd83334..c0c95d1 100644
--- a/source/know/concept/step-index-fiber/index.md
+++ b/source/know/concept/step-index-fiber/index.md
@@ -240,14 +240,12 @@ $$\begin{aligned}
\end{cases}
\end{aligned}$$
-<a href="bessel.jpg">
-<img src="bessel-small.jpg" style="width:100%">
-</a>
+{% include image.html file="bessel-full.png" width="100%" alt="First few solutions to Bessel's equation" %}
Looking at these solutions with our constraints for $$R_o$$ in mind,
we see that for $$\mu > 0$$ none of the solutions decay
*monotonically* to zero, so we must have $$\mu \le 0$$ in the cladding.
-Of the remaining candidates, $$\ln\!(r)$$, $$r^\ell$$ and $$I_\ell(\rho)$$ do not decay at all,
+Of the remaining candidates, $$\ln(r)$$, $$r^\ell$$ and $$I_\ell(\rho)$$ do not decay at all,
leading to the following $$R_o$$:
$$\begin{aligned}
@@ -394,9 +392,7 @@ An example graphical solution of the transcendental equation
is illustrated below for a fiber with $$V = 5$$,
where red and blue respectively denote the left and right-hand side:
-<a href="modes.jpg">
-<img src="modes-small.jpg" style="width:100%">
-</a>
+{% include image.html file="transcendental-full.png" width="100%" alt="Graphical solution of transcendental equation" %}
This shows that each $$\mathrm{LP}_{\ell m}$$ has an associated cut-off $$V_{\ell m}$$,
so that if $$V > V_{\ell m}$$ then $$\mathrm{LP}_{lm}$$ exists,