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Diffstat (limited to 'source/know/concept/step-index-fiber/index.md')
| -rw-r--r-- | source/know/concept/step-index-fiber/index.md | 10 |
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, |