1)Helmholtz方程的快速数值解法研究，国家自然科学基金，项目批准号：10571162，2006-2008，参与；

2)Helmholtz方程在无界区域上的数值解法研究，浙江省自然科学基金，项目批准号：Y605181，2005-2007，参与；

3)基于子空间优化法的电磁场穿墙成像， Singapore Temasek Defense Systems Institute under grant TDSI/09–001/1A, 2010-2011, 参与；

4)具不同边界的电磁逆散射成像， Singapore Temasek Defense Systems Institute under grant number TDSI/10-005/1A，2011-2013, 参与；

5)新一代超深(30米)随钻方位电阻率测井仪器信号的正反演算法和软件开发，哈里伯顿,2013-2016. 

[1] R.C. Song, W. Chen, An investigation on the regularized meshless method for irregular domain problems, CMES-Computer Modeling in Engineering & Sciences, Vol. 42, pp. 59-70, 2009.SCI(影响因子:1.030)

[2] W. Chen, R.C. Song, Analytical diagonal elements of regularized meshless method for regular domains of 2D Dirichlet Laplace problems, Engineering Analysis with Boundary Elements, Vol. 34, pp. 2-8, 2009.SCI(影响因子:1.392)

[3] J.X. Zhu, R.C. Song, Fast and stable computation of optical propagation in micro-waveguides with loss, Microelectronics Reliability, Vol. 49, pp. 1529-1536, 2009.SCI(影响因子:1.433)

[4] R.C. Song, J.X. Zhu, X.C. Zhang, Full-vectorial modal analysis for circular optical waveguides based on the multidomain Chebyshev pseudospectral method, Journal of the Optical Society of America B: Optical Physics, Vol.27(9), pp. 1722-1730, 2010.SCI(影响因子:1.970)

[5] J.X. Zhu, X.C. Zhang, R.C. Song, A unified mode solver for optical waveguides based on mapped barycentric rational Chebyshev differentiation matrix, Journal of Lightwave Technology, Vol.28, pp. 1802-1810, 2010.SCI(影响因子:2.965)

[6] R.C. Song and X. Chen, Analysis of cutoff wavelength of elliptical waveguide by regularized meshless method, International Journal of Numerical Modelling: Electronic Networks, Devices and Fields, Vol. 25, pp. 417–427, 2012.SCI(影响因子:0.615)

[7] X. Ye, R.C. Song, K. Agarwal, and X. Chen, Electromagnetic imaging of separable obstacle, Optics Express, Vol. 20, pp. 2206-19, 2012.SCI(影响因子:3.488)

[8] R.C. Song, R. Chen, and X. Chen, Imaging three-dimensional anisotropic scatterers in multi-layered medium by MUSIC method with enhanced resolution, Journal of the Optical Society of America A, Vol. 29, pp. 1900-1905, 2012.SCI(影响因子:1.558)

[9] R.C. Song, X. Chen, and Y. Zhong, Imaging small three-dimensional elastic inclusions by enhanced multiple signal classification method, Journal of the Acoustical Society of America, Vol. 132, pp 2420-6, 2012.SCI(影响因子:1.503)

[10] R.C. Song, Y. Zhong and X. Chen, A multi-dimensional sampling method for locating small scatterers, Inverse Problems, Vol. 28, pp. 115004, 2012.SCI(影响因子:1.323)

[11] K. Agarwal, R.C. Song, M. D’Urso, and X. Chen, Improving the performances of the contrast source extended Born inversion method by subspace techniques,IEEE Geoscience and Remote Sensing Letters, Vol. 99, pp. 1-5, 2013.SCI(影响因子:2.095)

[12] X.Z. Ye, X. Chen, Y. Zhong and R.C. Song, Simultaneous reconstruction of dielectric and perfectly conducting scatterers via T-matrix method, IEEE Transactions on Antennas and Propagation, Vol. 61, pp. 3774-3781, 2013.SCI(影响因子:2.181)

[13] X.Z. Ye, R.C. Song, and X. Chen, Application of T-matrix method in solving mixed boundary separable obstacle problem, Optics Express, Vol. 22, pp 16273-16281, 2014.SCI(影响因子:3.488)

[14] K.W. Xu, Y. Zhong, R.C. Song, X. Chen, L.X. Ran, Multiplicative-regularized FFT twofold subspace-based optimization method for inverse scattering problems, IEEE Transactions on Geoscience and Remote Sensing, Vol. 53, pp. 841-850,2015.SCI(影响因子:3.514)

在电磁测井领域共递交13项PCT专利申请，目前已有四项公开待授权：

[1] Li Pan, Chao Fu Wang, Rencheng Song and Jin Ma, Electromagnetic sensor for a downhole dielectric tool, PCT/US2014/064013, Application date, 2014-05-11.

[2] Li Pan, Chao Fu Wang, Wei Hsuan Huang and Rencheng Song, Modifying magnetic tilt angle using a magnetically anisotropic material, PCT/US2014/073024, Application date, 2014-12-31.

[3] Li Pan, Chao Fu Wang, Rencheng Song and Jin Ma, Bi-mode high frequency dielectric tool (HFDT), PCT/US2015/028283, Application date, 2015-04-29.