diff --git a/example/CMakeLists.txt b/example/CMakeLists.txt
index e67c747..1c0dbf6 100644
--- a/example/CMakeLists.txt
+++ b/example/CMakeLists.txt
@@ -22,4 +22,5 @@ add_example(mobser_tetra_ex OFF)
add_example(mobser_tetra_ex2 OFF)
add_example(mobser_tetra_sph_ex OFF)
add_example(mobser_tesseroid_ex OFF)
-add_example(read_IGRF_ex OFF)
\ No newline at end of file
+add_example(read_IGRF_ex OFF)
+add_example(power_spectrum_ex OFF)
\ No newline at end of file
diff --git a/example/power_spectrum_ex.cpp b/example/power_spectrum_ex.cpp
new file mode 100644
index 0000000..0c4cc74
--- /dev/null
+++ b/example/power_spectrum_ex.cpp
@@ -0,0 +1,65 @@
+/********************************************************
+ * ██████╗ ██████╗████████╗██╗
+ * ██╔════╝ ██╔════╝╚══██╔══╝██║
+ * ██║ ███╗██║ ██║ ██║
+ * ██║ ██║██║ ██║ ██║
+ * ╚██████╔╝╚██████╗ ██║ ███████╗
+ * ╚═════╝ ╚═════╝ ╚═╝ ╚══════╝
+ * Geophysical Computational Tools & Library (GCTL)
+ *
+ * Copyright (c) 2022 Yi Zhang (yizhang-geo@zju.edu.cn)
+ *
+ * GCTL is distributed under a dual licensing scheme. You can redistribute
+ * it and/or modify it under the terms of the GNU Lesser General Public
+ * License as published by the Free Software Foundation, either version 2
+ * of the License, or (at your option) any later version. You should have
+ * received a copy of the GNU Lesser General Public License along with this
+ * program. If not, see .
+ *
+ * If the terms and conditions of the LGPL v.2. would prevent you from using
+ * the GCTL, please consider the option to obtain a commercial license for a
+ * fee. These licenses are offered by the GCTL's original author. As a rule,
+ * licenses are provided "as-is", unlimited in time for a one time fee. Please
+ * send corresponding requests to: yizhang-geo@zju.edu.cn. Please do not forget
+ * to include some description of your company and the realm of its activities.
+ * Also add information on how to contact you by electronic and paper mail.
+ ******************************************************/
+
+#include "gctl/io.h"
+#include "gctl/geometry.h"
+#include "../lib/potential.h"
+
+using namespace gctl;
+
+int main(int argc, char const *argv[]) try
+{
+ std::string data_dir = "/Volumes/DataArchive/Earth/Global/MagneticModels/EMM2017_Linux";
+ text_content tc;
+ tc.head_num_ = 1;
+ tc.load_text(data_dir + "/EMM2017", ".COF");
+
+ int n, m;
+ _1d_array P, C, S;
+ std::stringstream tmp_ss;
+
+ C.resize(tc.lines_.size());
+ S.resize(tc.lines_.size());
+ for (size_t i = 0; i < tc.lines_.size(); i++)
+ {
+ str2ss(tc.lines_[i], tmp_ss);
+ tmp_ss >> n >> m >> C[i] >> S[i];
+ }
+
+ power_spectrum_shc(P, C, S, 6371200, 6371200, 1, 65);
+
+ for (size_t i = 0; i < P.size(); i++)
+ {
+ std::cout << i + 1 << " " << P[i] << "\n";
+ }
+
+ return 0;
+}
+catch (std::exception &e)
+{
+ GCTL_ShowWhatError(e.what(), GCTL_ERROR_ERROR, 0, 0, 0);
+}
\ No newline at end of file
diff --git a/lib/potential/gm_data.cpp b/lib/potential/gm_data.cpp
index 2b2eeb9..a011f6f 100644
--- a/lib/potential/gm_data.cpp
+++ b/lib/potential/gm_data.cpp
@@ -239,4 +239,27 @@ void gctl::magnetic_tensors2deltaTs_sph(const array &Mag_tensors, const
deltaTs[i].z = za_f*Mag_tensors[i][0][2] - hay_f*Mag_tensors[i][1][2] + hax_f*Mag_tensors[i][2][2];
}
return;
+}
+
+void gctl::power_spectrum_shc(array &P, const array &C, const array &S, double R, double r, int n, int N)
+{
+ if (n < 0 || n >= N || C.size() < (N + 1)*(N + 2)/2 || S.size() < (N + 1)*(N + 2)/2)
+ {
+ throw std::runtime_error("[gctl::power_spectrum_shc] Invalid input parameters.");
+ }
+
+ P.resize(N - n + 1, 0);
+
+ int id;
+ for (int i = n; i < N + 1; i++)
+ {
+ id = i*(i + 1)/2;
+ for (int j = 0; j < i + 1; j++)
+ {
+ P[i - n] += (C[id + j]*C[id + j] + S[id + j]*S[id + j]);
+ }
+
+ P[i - n] *= (n + 1)*pow(R/r, 2*n + 4);
+ }
+ return;
}
\ No newline at end of file
diff --git a/lib/potential/gm_data.h b/lib/potential/gm_data.h
index c1166b8..c48d71c 100644
--- a/lib/potential/gm_data.h
+++ b/lib/potential/gm_data.h
@@ -196,6 +196,20 @@ namespace gctl
* @param T0_declina Declination degrees of the earth normal magnetic field.
*/
void magnetic_tensors2deltaTs_sph(const array &Mag_tensors, const _1d_array &T0_inclina, const _1d_array &T0_declina, array &deltaTs);
+
+ /**
+ * @brief Calculate the power spectrum of given spherical harmonic coefficients.
+ *
+ * @param P Returned power spectrum
+ * @param C Cosine coefficients strats from 0 order 0 degree up to least N order N degree
+ * @param S Sine coefficients strats from 0 order 0 degree up to least N order N degree
+ * @param R Reference radius (usually is 6371.2 km)
+ * @param r Observation radius
+ * @param n Strat order
+ * @param N End order
+ */
+ void power_spectrum_shc(array &P, const array &C, const array &S,
+ double R, double r, int n, int N);
}
#endif // _GCTL_GM_DATA_H
\ No newline at end of file