Miftachul Hadi, Utama Alan Deta, Andri Sofyan Husein
The refractive index and curved space relation is formulated using the Riemann-Christoffel curvature tensor. As a consequence of the fourth rank tensor of the Riemann-Christoffel curvature tensor, we found that the refractive index should be a second rank tensor. The second rank tensor of the refractive index describes a linear optics. It implies naturally that the Riemann-Christoffel curvature tensor is related to the linear optics. In case of a non-linear optics, the refractive index is a sixth rank tensor, if susceptibility is a fourth rank tensor. © Published under licence by IOP Publishing Ltd.
Physics Research Centre, Indonesian Institute of Sciences (LIPI), Puspiptek, Serpong, Tangerang Selatan, Banten, 15314, Indonesia; Department of Physics, Universitas Negeri Surabaya, Ketintang, Surabaya, Indonesia; Department of Industrial Engineering, University of Muhammadiyah Tangerang, Jalan Perintis Kemerdekaan 1 No.33, Cikokol, Banten, Tangerang, 15118, Indonesia
