diff --git a/Source/FieldSolver/FiniteDifferenceSolver/FiniteDifferenceAlgorithms/CartesianCKCAlgorithm.H b/Source/FieldSolver/FiniteDifferenceSolver/FiniteDifferenceAlgorithms/CartesianCKCAlgorithm.H
index 737146f24a3..cf27898cb86 100644
--- a/Source/FieldSolver/FiniteDifferenceSolver/FiniteDifferenceAlgorithms/CartesianCKCAlgorithm.H
+++ b/Source/FieldSolver/FiniteDifferenceSolver/FiniteDifferenceAlgorithms/CartesianCKCAlgorithm.H
@@ -26,7 +26,7 @@
 struct CartesianCKCAlgorithm {
 
     static void InitializeStencilCoefficients (
-        std::array<amrex::Real,3>& cell_size,
+        std::array<amrex::Real, 3>& cell_size,
         amrex::Vector<amrex::Real>& stencil_coefs_x,
         amrex::Vector<amrex::Real>& stencil_coefs_y,
         amrex::Vector<amrex::Real>& stencil_coefs_z ) {
@@ -129,7 +129,7 @@ struct CartesianCKCAlgorithm {
      * Perform derivative along x on a cell-centered grid, from a nodal field `F` */
     AMREX_GPU_HOST_DEVICE AMREX_FORCE_INLINE
     static amrex::Real UpwardDx (
-        amrex::Array4<amrex::Real> const& F,
+        amrex::Array4<amrex::Real const> const& F,
         amrex::Real const * const coefs_x, int const /*n_coefs_x*/,
         int const i, int const j, int const k, int const ncomp=0 ) {
 
@@ -186,7 +186,7 @@ struct CartesianCKCAlgorithm {
      * Perform derivative along y on a cell-centered grid, from a nodal field `F` */
     AMREX_GPU_HOST_DEVICE AMREX_FORCE_INLINE
     static amrex::Real UpwardDy (
-        amrex::Array4<amrex::Real> const& F,
+        amrex::Array4<amrex::Real const> const& F,
         amrex::Real const * const coefs_y, int const n_coefs_y,
         int const i, int const j, int const k, int const ncomp=0 ) {
 
@@ -244,7 +244,7 @@ struct CartesianCKCAlgorithm {
      * Perform derivative along z on a cell-centered grid, from a nodal field `F` */
     AMREX_GPU_HOST_DEVICE AMREX_FORCE_INLINE
     static amrex::Real UpwardDz (
-        amrex::Array4<amrex::Real> const& F,
+        amrex::Array4<amrex::Real const> const& F,
         amrex::Real const * const coefs_z, int const n_coefs_z,
         int const i, int const j, int const k, int const ncomp=0 ) {
 
diff --git a/Source/FieldSolver/FiniteDifferenceSolver/FiniteDifferenceAlgorithms/CartesianNodalAlgorithm.H b/Source/FieldSolver/FiniteDifferenceSolver/FiniteDifferenceAlgorithms/CartesianNodalAlgorithm.H
index b693ed8785f..46940e7e306 100644
--- a/Source/FieldSolver/FiniteDifferenceSolver/FiniteDifferenceAlgorithms/CartesianNodalAlgorithm.H
+++ b/Source/FieldSolver/FiniteDifferenceSolver/FiniteDifferenceAlgorithms/CartesianNodalAlgorithm.H
@@ -69,7 +69,7 @@ struct CartesianNodalAlgorithm {
      * account the staggering; but for `CartesianNodalAlgorithm`, they are equivalent) */
     AMREX_GPU_HOST_DEVICE AMREX_FORCE_INLINE
     static amrex::Real UpwardDx (
-        amrex::Array4<amrex::Real> const& F,
+        amrex::Array4<amrex::Real const> const& F,
         amrex::Real const * const coefs_x, int const /*n_coefs_x*/,
         int const i, int const j, int const k, int const ncomp=0 ) {
 
@@ -89,7 +89,7 @@ struct CartesianNodalAlgorithm {
      * account the staggering; but for `CartesianNodalAlgorithm`, they are equivalent) */
     AMREX_GPU_HOST_DEVICE AMREX_FORCE_INLINE
     static amrex::Real DownwardDx (
-        amrex::Array4<amrex::Real> const& F,
+        amrex::Array4<amrex::Real const> const& F,
         amrex::Real const * const coefs_x, int const n_coefs_x,
         int const i, int const j, int const k, int const ncomp=0 ) {
 
@@ -109,7 +109,7 @@ struct CartesianNodalAlgorithm {
      * account the staggering; but for `CartesianNodalAlgorithm`, they are equivalent) */
     AMREX_GPU_HOST_DEVICE AMREX_FORCE_INLINE
     static amrex::Real UpwardDy (
-        amrex::Array4<amrex::Real> const& F,
+        amrex::Array4<amrex::Real const> const& F,
         amrex::Real const * const coefs_y, int const /*n_coefs_y*/,
         int const i, int const j, int const k, int const ncomp=0 ) {
 
@@ -129,7 +129,7 @@ struct CartesianNodalAlgorithm {
      * account the staggering; but for `CartesianNodalAlgorithm`, they are equivalent) */
     AMREX_GPU_HOST_DEVICE AMREX_FORCE_INLINE
     static amrex::Real DownwardDy (
-        amrex::Array4<amrex::Real> const& F,
+        amrex::Array4<amrex::Real const> const& F,
         amrex::Real const * const coefs_y, int const n_coefs_y,
         int const i, int const j, int const k, int const ncomp=0 ) {
 
@@ -143,7 +143,7 @@ struct CartesianNodalAlgorithm {
      * account the staggering; but for `CartesianNodalAlgorithm`, they are equivalent) */
     AMREX_GPU_HOST_DEVICE AMREX_FORCE_INLINE
     static amrex::Real UpwardDz (
-        amrex::Array4<amrex::Real> const& F,
+        amrex::Array4<amrex::Real const> const& F,
         amrex::Real const * const coefs_z, int const /*n_coefs_z*/,
         int const i, int const j, int const k, int const ncomp=0 ) {
 
@@ -164,7 +164,7 @@ struct CartesianNodalAlgorithm {
      * account the staggering; but for `CartesianNodalAlgorithm`, they are equivalent) */
     AMREX_GPU_HOST_DEVICE AMREX_FORCE_INLINE
     static amrex::Real DownwardDz (
-        amrex::Array4<amrex::Real> const& F,
+        amrex::Array4<amrex::Real const> const& F,
         amrex::Real const * const coefs_z, int const n_coefs_z,
         int const i, int const j, int const k, int const ncomp=0 ) {
 
diff --git a/Source/FieldSolver/FiniteDifferenceSolver/FiniteDifferenceAlgorithms/CartesianYeeAlgorithm.H b/Source/FieldSolver/FiniteDifferenceSolver/FiniteDifferenceAlgorithms/CartesianYeeAlgorithm.H
index c4978287aec..485698802b6 100644
--- a/Source/FieldSolver/FiniteDifferenceSolver/FiniteDifferenceAlgorithms/CartesianYeeAlgorithm.H
+++ b/Source/FieldSolver/FiniteDifferenceSolver/FiniteDifferenceAlgorithms/CartesianYeeAlgorithm.H
@@ -67,7 +67,7 @@ struct CartesianYeeAlgorithm {
      * Perform derivative along x on a cell-centered grid, from a nodal field `F`*/
     AMREX_GPU_HOST_DEVICE AMREX_FORCE_INLINE
     static amrex::Real UpwardDx (
-        amrex::Array4<amrex::Real> const& F,
+        amrex::Array4<amrex::Real const> const& F,
         amrex::Real const * const coefs_x, int const /*n_coefs_x*/,
         int const i, int const j, int const k, int const ncomp=0 ) {
 
@@ -123,7 +123,7 @@ struct CartesianYeeAlgorithm {
      * Perform derivative along y on a cell-centered grid, from a nodal field `F`*/
     AMREX_GPU_HOST_DEVICE AMREX_FORCE_INLINE
     static amrex::Real UpwardDy (
-        amrex::Array4<amrex::Real> const& F,
+        amrex::Array4<amrex::Real const> const& F,
         amrex::Real const * const coefs_y, int const n_coefs_y,
         int const i, int const j, int const k, int const ncomp=0 ) {
 
@@ -189,7 +189,7 @@ struct CartesianYeeAlgorithm {
      * Perform derivative along z on a cell-centered grid, from a nodal field `F`*/
    AMREX_GPU_HOST_DEVICE AMREX_FORCE_INLINE
     static amrex::Real UpwardDz (
-        amrex::Array4<amrex::Real> const& F,
+        amrex::Array4<amrex::Real const> const& F,
         amrex::Real const * const coefs_z, int const /*n_coefs_z*/,
         int const i, int const j, int const k, int const ncomp=0 ) {
 
diff --git a/Source/FieldSolver/FiniteDifferenceSolver/FiniteDifferenceAlgorithms/CylindricalYeeAlgorithm.H b/Source/FieldSolver/FiniteDifferenceSolver/FiniteDifferenceAlgorithms/CylindricalYeeAlgorithm.H
index 436f0a83f31..d20e1ef829b 100644
--- a/Source/FieldSolver/FiniteDifferenceSolver/FiniteDifferenceAlgorithms/CylindricalYeeAlgorithm.H
+++ b/Source/FieldSolver/FiniteDifferenceSolver/FiniteDifferenceAlgorithms/CylindricalYeeAlgorithm.H
@@ -74,7 +74,7 @@ struct CylindricalYeeAlgorithm {
      * The input parameter `r` is given at the cell-centered position */
     AMREX_GPU_HOST_DEVICE AMREX_FORCE_INLINE
     static amrex::Real UpwardDrr_over_r (
-        amrex::Array4<amrex::Real> const& F,
+        amrex::Array4<amrex::Real const> const& F,
         amrex::Real const r, amrex::Real const dr,
         amrex::Real const * const coefs_r, int const n_coefs_r,
         int const i, int const j, int const k, int const comp ) {
@@ -92,7 +92,7 @@ struct CylindricalYeeAlgorithm {
      * The input parameter `r` is given at the cell-centered position */
     AMREX_GPU_HOST_DEVICE AMREX_FORCE_INLINE
     static amrex::Real DownwardDrr_over_r (
-        amrex::Array4<amrex::Real> const& F,
+        amrex::Array4<amrex::Real const> const& F,
         amrex::Real const r, amrex::Real const dr,
         amrex::Real const * const coefs_r, int const n_coefs_r,
         int const i, int const j, int const k, int const comp ) {
@@ -108,7 +108,7 @@ struct CylindricalYeeAlgorithm {
      * Perform derivative along r on a cell-centered grid, from a nodal field `F` */
     AMREX_GPU_HOST_DEVICE AMREX_FORCE_INLINE
     static amrex::Real UpwardDr (
-        amrex::Array4<amrex::Real> const& F,
+        amrex::Array4<amrex::Real const> const& F,
         amrex::Real const * const coefs_r, int const n_coefs_r,
         int const i, int const j, int const k, int const comp ) {
 
@@ -123,7 +123,7 @@ struct CylindricalYeeAlgorithm {
      * Perform derivative along r on a nodal grid, from a cell-centered field `F` */
     AMREX_GPU_HOST_DEVICE AMREX_FORCE_INLINE
     static amrex::Real DownwardDr (
-        amrex::Array4<amrex::Real> const& F,
+        amrex::Array4<amrex::Real const> const& F,
         amrex::Real const * const coefs_r, int const n_coefs_r,
         int const i, int const j, int const k, int const comp ) {
 
@@ -156,7 +156,7 @@ struct CylindricalYeeAlgorithm {
      * Perform derivative along z on a cell-centered grid, from a nodal field `F` */
     AMREX_GPU_HOST_DEVICE AMREX_FORCE_INLINE
     static amrex::Real UpwardDz (
-        amrex::Array4<amrex::Real> const& F,
+        amrex::Array4<amrex::Real const> const& F,
         amrex::Real const * const coefs_z, int const n_coefs_z,
         int const i, int const j, int const k, int const comp ) {
 
@@ -170,7 +170,7 @@ struct CylindricalYeeAlgorithm {
      * Perform derivative along z on a nodal grid, from a cell-centered field `F` */
     AMREX_GPU_HOST_DEVICE AMREX_FORCE_INLINE
     static amrex::Real DownwardDz (
-        amrex::Array4<amrex::Real> const& F,
+        amrex::Array4<amrex::Real const> const& F,
         amrex::Real const * const coefs_z, int const n_coefs_z,
         int const i, int const j, int const k, int const comp ) {