Add EF_MPP model to docs/theory

docs/Theory/EF_MPP_Model.md

@@ -0,0 +1,99 @@
+# Equivalent Fluid MPP Model
+
+The equivalent fluid microperforate model estimates the input parameters to the [JCA](https://jakep72.github.io/acoustipy/Theory/JCA_Model/) model based on the perforate diameter $(d)$, center-to-center distance $(b)$, and thickness $(t)$.
+
+The internal [_calc_dynamics](https://jakep72.github.io/acoustipy/AcousticTMM/#src.acoustipy.TMM.AcousticTMM._calc_dynamics) method is then used to determine the dynamic mass density $(\tilde{\rho})$ and dynamic bulk modulus $(\widetilde{K})$ using the [JCA](https://jakep72.github.io/acoustipy/Theory/JCA_Model/) model.
+
+# Estimation of JCA parameters
+
+\[
+\phi = \frac{\pi}{4}\Bigg(\frac{d}{b}\Bigg)^2
+\]
+
+\[
+\sigma = \frac{32\eta}{\phi d^2}
+\]
+
+\[
+\Lambda = \frac{d}{2}
+\]
+
+\[
+\Lambda^{\prime} = \frac{d}{2}
+\]
+
+\[
+\tau = 1+\frac{2*fok}{t}
+\]
+
+where $fok$ is:
+
+\[
+fok = \frac{4d}{3\pi}(1-1.13eps-0.09eps^2+0.27eps^3)
+\]
+
+and $eps$ is:
+
+\[
+eps = 2\sqrt{\frac{\phi}{\pi}}
+\]
+
+The [Add_MPP_EF_Layer](https://jakep72.github.io/acoustipy/AcousticTMM/#src.acoustipy.TMM.AcousticTMM.Add_MPP_EF_Layer) method then converts The modified dynamic mass density and bulk modulus to the characteristic impedence $(Z_{c})$ and wavenumber $(k_{c})$ for use in the layer transfer matrix.
+
+\[
+Z_{c} = \sqrt{\tilde{\rho}\widetilde{K}}
+\]
+
+\[
+k_{c} = {\omega}\sqrt{\frac{\tilde{\rho}}{\widetilde{K}}}
+\]
+
+## Model Parameters:
+
+##### Using the following nomenclature --- Symbol = [Units] (name)
+
+###### Model Specific
+\[
+d = \Bigg[m\Bigg]\tag{perforate diameter}
+\]
+
+\[
+b = \Bigg[m\Bigg]\tag{center-to-center distance}
+\]
+
+\[
+t = \Bigg[m\Bigg]\tag{layer thickness}
+\]
+
+###### JCA Parameters
+
+\[
+\sigma = \Bigg[\frac{Pa*s}{m^2}\Bigg]\tag{static airflow resistivity}
+\]
+
+\[
+\phi = \Bigg[unitless\Bigg]\tag{porosity}
+\]
+
+\[
+\tau = \Bigg[unitless\Bigg]\tag{tortuosity}
+\]
+
+\[
+\Lambda = \Bigg[{\mu}m\Bigg]\tag{viscous characteristic length}
+\]
+
+\[
+\Lambda^{\prime} = \Bigg[{\mu}m\Bigg]\tag{thermal characteristic length}
+\]
+
+
+
+## Defining Other Symbols:
+
+##### Using the following nomenclature --- Symbol = [Units] (name)
+
+
+\[
+\eta = \Bigg[Pa*s\Bigg]\tag{viscosity of air}
+\]

docs/Theory/JCAL_Model.md

@@ -1,3 +1,5 @@
+# JCAL Model
+
 The Johnson-Champoux-Allard-Lafarge model is a six parameter model consisting of the static airflow resistivity $(\sigma)$, porosity $(\phi)$, tortuosity $(\tau)$, viscous characteristic length $(\Lambda)$, thermal characteristic length $(\Lambda^\prime)$, and thermal permeability $(k_{0}^\prime)$.
 
 The acoustipy implementation for the JCA, JCAL, and JCAPL models are all based on the implementation from [APMR](https://apmr.matelys.com/PropagationModels/MotionlessSkeleton/JohnsonChampouxAllardPrideLafargeModel.html).  The equations described below can be found in the [_calc_dynamics](https://jakep72.github.io/acoustipy/AcousticTMM/#src.acoustipy.TMM.AcousticTMM._calc_dynamics) method.

docs/Theory/JCAPL_Model.md

@@ -1,3 +1,5 @@
+# JCAPL Model
+
 The Johnson-Champoux-Allard-Pride-Lafarge model is an eight parameter model consisting of the static airflow resistivity $(\sigma)$, porosity $(\phi)$, tortuosity $(\tau)$, viscous characteristic length $(\Lambda)$, thermal characteristic length $(\Lambda^\prime)$, thermal permeability $(k_{0}^\prime)$, thermal tortuosity $(\alpha_{0}^\prime)$, and viscous tortuosity $(\alpha_{0})$.
 
 The acoustipy implementation for the JCA, JCAL, and JCAPL models are all based on the implementation from [APMR](https://apmr.matelys.com/PropagationModels/MotionlessSkeleton/JohnsonChampouxAllardPrideLafargeModel.html).  The equations described below can be found in the [_calc_dynamics](https://jakep72.github.io/acoustipy/AcousticTMM/#src.acoustipy.TMM.AcousticTMM._calc_dynamics) method.

docs/Theory/JCA_Model.md

@@ -1,3 +1,5 @@
+# JCA Model
+
 The Johnson-Champoux-Allard model is a five parameter model consisting of the static airflow resistivity $(\sigma)$, porosity $(\phi)$, tortuosity $(\tau)$, viscous characteristic length $(\Lambda)$ and thermal characteristic length $(\Lambda^\prime)$.
 
 The acoustipy implementation for the JCA, JCAL, and JCAPL models are all based on the implementation from [APMR](https://apmr.matelys.com/PropagationModels/MotionlessSkeleton/JohnsonChampouxAllardPrideLafargeModel.html).