From 065c6c8a0d719a68c587bb9e0f47ec233da15204 Mon Sep 17 00:00:00 2001
From: Xingjian Hui <151739545+huixingjian@users.noreply.github.com>
Date: Thu, 19 Dec 2024 15:51:01 +0100
Subject: [PATCH] Update gaussian_profile.py

---
 lasy/profiles/gaussian_profile.py | 33 ++++++++++++-------------------
 1 file changed, 13 insertions(+), 20 deletions(-)

diff --git a/lasy/profiles/gaussian_profile.py b/lasy/profiles/gaussian_profile.py
index b4a95e13..f43fbb3c 100644
--- a/lasy/profiles/gaussian_profile.py
+++ b/lasy/profiles/gaussian_profile.py
@@ -62,35 +62,28 @@ class GaussianProfile(Profile):
     z_foc : float (in meter), optional
         Position of the focal plane. (The laser pulse is initialized at `z=0`.)
 
-    beta : float (in second), optional (default '0')
-        The angular dispersion parameterized by:
-
+    phi2 : float (in seconds^2), optional (default: '0')
+        The group-delay dispersion defined as:
+        .. math::
+            \phi^{(2)} = \frac{dt}{d\omega}
+            
+    beta : float (in seconds), optional (default: '0')
+        The angular dispersion defined as:
         .. math::
-
             \beta = \frac{d\theta_0}{d\omega}
-
         Here :math:`\theta_0` is the propagation angle of this component.
-        The definitions of beta, phi2 and zeta are taken from [S. Akturk et al., Optics Express 12, 4399 (2004)].
-
-    phi2 : float (in second^2), optional (default '0')
-        The group-delay dispersion parameterized by:
-
-        .. math::
-
-            \phi^{(2)} = \frac{dt}{d\omega}
-
-    zeta : float (in meter * second) optional (default '0')
-        The spatial chirp parameterized by:
 
+    zeta : float (in meters * seconds), optional (default: '0')
+        A spatial chirp defined as:
         .. math::
-
              \zeta = \frac{dx_0}{d\omega}
-
         Here :math:`x_0` is the beam center position.
+        The definitions of beta, phi2, and zeta are taken from [S. Akturk et al., Optics Express 12, 4399 (2004)].
 
-    stc_theta :  float (in rad) optional (default '0')
+    stc_theta : float (in radians), optional (default: '0')
         Transverse direction along which there are chirps and spatio-temporal couplings.
-        0 is along x axis.
+        A value of 0 corresponds to the x-axis.
+
 
     Examples
     --------