His recent research interests include design of patch, planar and dielectric resonator antennas, microwave and antenna measurements, and computational electromagnetics. He is the author of four books, over 400 journal papers and 280 conference papers. He was awarded 16 US and more than 10 PRC patents.

He was the Technical Program Chairperson of the 1997 Progress in Electromagnetics Research Symposium (PIERS 1997) , and the General Vice-Chairperson of the 1997 and 2008 Asia-Pacific Microwave Conference, and the General Chairman of the 2006 IEEE Region Ten Conference.

Professor Luk received the Japan Microwave Prize, at the 1994 Asia Pacific Microwave Conference held in Chiba in December 1994 and the Best Paper Award at the 2008 International Symposium on Antennas and Propagation held in Taipei in October 2008. He was awarded the very competitive 2000 Croucher Foundation Senior Research Fellowship in Hong Kong. Professor Luk is a Fellow of the Chinese Institute of Electronics, PRC, a Fellow of the Institution of Engineering and Technology, UK, a Fellow of the Institute of Electrical and Electronics Engineers, USA and a Fellow of the Electromagnetics Academy, USA.