In forensic science, various circumstances and requirements give rise to the need for the development of the inter-modality face recognition system to reinforce law and order. In this paper, a novel methodology called Local-Friis-Radiation-Pattern (LFRP) for both homogeneous (visible face images with variations like illumination, pose, and makeup) and heterogeneous (near-infrared (NIR)-visible (VIS) and sketch-photo images) face recognition is proposed. LFRP incorporates the renowned Friis equation of antenna radiation and extends it to image pixels to establish a relation among the pixels residing in a local neighbourhood. Here, we present a robust local image descriptor called the LFPR to effectively capture the illumination-invariant, and modality-invariant facial features. Recognition results on CASIA NIR-VIS 2.0, CUFSF, LFW, CMU-PIE, Extended Yale B, TUFTS VMU, YMU, and MIW databases indicate the superiority and efficiency of the proposed scheme in terms of common feature representation under varying illumination, pose and modality. Moreover, experimental findings reveal that the proposed LFRP is robust against face recognition under non-permanent facial cosmetics (makeup). On the more, a predefined convolutional neural network architecture has been incorporated to improve and compare the proposed LFRP feature map with other state-of-the-art deep learning based methods.