From ab6cb92c54eb08f889fe435ffe9166e2b269c97e Mon Sep 17 00:00:00 2001
From: Luc <luc@bijl.us>
Date: Fri, 19 Jan 2024 20:01:36 +0100
Subject: [PATCH] Removed error.

---
 .../electromagnetism/optics/electromagnetic-waves.md     | 6 ++++++
 docs/en/physics/electromagnetism/optics/waves.md         | 9 +++++++++
 2 files changed, 15 insertions(+)

diff --git a/docs/en/physics/electromagnetism/optics/electromagnetic-waves.md b/docs/en/physics/electromagnetism/optics/electromagnetic-waves.md
index ab73f12..9125582 100644
--- a/docs/en/physics/electromagnetism/optics/electromagnetic-waves.md
+++ b/docs/en/physics/electromagnetism/optics/electromagnetic-waves.md
@@ -47,12 +47,16 @@ The above proposition gives an example of a light wave, but note that there are
 
     Will be added later.
 
+<br>
+
 > *Law*: the electric field $\mathbf{E}$ and the magnetic field $\mathbf{B}$ in a electromagnetic wave are orthogonal to each other; $\langle \mathbf{E}, \mathbf{B} \rangle = 0$. 
 
 ??? note "*Proof*:"
 
     Will be added later.
 
+<br>
+
 > *Corollary*: it follows from the above law that the magnitude of the electric and magnetic fields $E, B: U \to \mathbb{R}$ in a electromagnetic wave are related by 
 >
 > $$
@@ -79,6 +83,8 @@ The above proposition gives an example of a light wave, but note that there are
 
     Will be added later.
 
+<br>
+
 > *Definition*: the time average of the magnitude of $\mathbf{S}$ is called the irradiance. 
 
 <br>
diff --git a/docs/en/physics/electromagnetism/optics/waves.md b/docs/en/physics/electromagnetism/optics/waves.md
index cdd6577..e2832b3 100644
--- a/docs/en/physics/electromagnetism/optics/waves.md
+++ b/docs/en/physics/electromagnetism/optics/waves.md
@@ -26,6 +26,10 @@ The derivation of the wave equation can be obtained in section...
 >
 > for all $(x,t) \in \mathbb{R}^2$. With $k = \frac{2\pi}{\lambda}$ the wavenumber, $\omega = \frac{2\pi}{T}$ the angular frequency and $v = \frac{\lambda}{T}$ the wave speed. 
 
+??? note "*Proof*:"
+
+    Will be added later.
+
 A right travelling harmonic wave $\Psi: \mathbb{R}^2 \to \mathbb{R}$ can also be represented in the complex plane given by
 
 $$
@@ -42,6 +46,11 @@ for all $(x,t) \in \mathbb{R}^2$.
 >
 > for all $(\mathbf{x},t) \in \mathbb{R}^4$. 
 
+??? note "*Proof*:"
+
+    Will be added later.
+
+
 We may formulate various solutions $\Psi: \mathbb{R}^4 \to \mathbb{R}$ for this wave equation. 
 
 The first solution may be the plane wave that follows cartesian symmetry and can therefore best be described in a cartesian coordinate system $\mathbf{v}(x,y,z)$. The solution is given by