diff --git a/docs/source/app_waveforms.rst b/docs/source/app_waveforms.rst index 0302eb22..c42f07ce 100644 --- a/docs/source/app_waveforms.rst +++ b/docs/source/app_waveforms.rst @@ -55,7 +55,7 @@ Second derivative of a Gaussian waveform. .. math:: I = 2\zeta \left(2\zeta(t-\chi)^2 - 1 \right) e^{-\zeta(t-\chi)^2} -where :math:`I` is the current, :math:`\zeta = 2\pi^2f^2`, :math:`\chi=\frac{1}{f}` and :math:`f` is the frequency. +where :math:`I` is the current, :math:`\zeta = \pi^2f^2`, :math:`\chi=\frac{\sqrt{2}}{f}` and :math:`f` is the frequency. .. figure:: images/gaussiandotdot.png @@ -69,27 +69,13 @@ Normalised second derivative of a Gaussian waveform. .. math:: I = \left( 2\zeta (t-\chi)^2 - 1 \right) e^{-\zeta(t-\chi)^2} -where :math:`I` is the current, :math:`\zeta = 2\pi^2f^2`, :math:`\chi=\frac{1}{f}` and :math:`f` is the frequency. +where :math:`I` is the current, :math:`\zeta = \pi^2f^2`, :math:`\chi=\frac{\sqrt{2}}{f}` and :math:`f` is the frequency. .. figure:: images/gaussiandotdotnorm.png Example of the ``gaussiandotdotnorm`` waveform - time domain and power spectrum. -gaussiandotdotdot -================= - -Third derivative of a Gaussian waveform. - -.. math:: I = \zeta^2 \left( 3(t-\chi) - 2\zeta (t-\chi)^3 \right) e^{-\zeta(t-\chi)^2} - -where :math:`I` is the current, :math:`\zeta = 2\pi^2f^2`, :math:`\chi=\frac{1}{f}` and :math:`f` is the frequency. - -.. figure:: images/gaussiandotdotdot.png - - Example of the ``gaussiandotdotdot`` waveform - time domain and power spectrum. - - ricker ====== @@ -97,7 +83,7 @@ A Ricker (or Mexican Hat) waveform which is the negative, normalised second deri .. math:: I = - \left( 2\zeta (t-\chi)^2 -1 \right) e^{-\zeta(t-\chi)^2} -where :math:`I` is the current, :math:`\zeta = 2\pi^2f^2`, :math:`\chi=\frac{1}{f}` and :math:`f` is the frequency. +where :math:`I` is the current, :math:`\zeta = \pi^2f^2`, :math:`\chi=\frac{\sqrt{2}}{f}` and :math:`f` is the frequency. .. figure:: images/ricker.png diff --git a/docs/source/images/gaussiandotdot.pdf b/docs/source/images/gaussiandotdot.pdf index 53d7dd84..b3765fb8 100644 Binary files a/docs/source/images/gaussiandotdot.pdf and b/docs/source/images/gaussiandotdot.pdf differ diff --git a/docs/source/images/gaussiandotdot.png b/docs/source/images/gaussiandotdot.png index cf79b50a..5e8ba940 100644 Binary files a/docs/source/images/gaussiandotdot.png and b/docs/source/images/gaussiandotdot.png differ diff --git a/docs/source/images/gaussiandotdotdot.pdf b/docs/source/images/gaussiandotdotdot.pdf deleted file mode 100644 index 6aae0197..00000000 Binary files a/docs/source/images/gaussiandotdotdot.pdf and /dev/null differ diff --git a/docs/source/images/gaussiandotdotdot.png b/docs/source/images/gaussiandotdotdot.png deleted file mode 100644 index 1246ae45..00000000 Binary files a/docs/source/images/gaussiandotdotdot.png and /dev/null differ diff --git a/docs/source/images/gaussiandotdotnorm.pdf b/docs/source/images/gaussiandotdotnorm.pdf index 445c40e6..a0ff04f6 100644 Binary files a/docs/source/images/gaussiandotdotnorm.pdf and b/docs/source/images/gaussiandotdotnorm.pdf differ diff --git a/docs/source/images/gaussiandotdotnorm.png b/docs/source/images/gaussiandotdotnorm.png index e8ebcc6f..b55a8c1e 100644 Binary files a/docs/source/images/gaussiandotdotnorm.png and b/docs/source/images/gaussiandotdotnorm.png differ diff --git a/docs/source/images/ricker.pdf b/docs/source/images/ricker.pdf index 5757e53b..a71c27bd 100644 Binary files a/docs/source/images/ricker.pdf and b/docs/source/images/ricker.pdf differ diff --git a/docs/source/images/ricker.png b/docs/source/images/ricker.png index 75699fbb..cf6b5638 100644 Binary files a/docs/source/images/ricker.png and b/docs/source/images/ricker.png differ