The word "photonics" appeared in the late 1960s and is commonly accepted to describe the science of generating, controlling, and detecting light. In recent years many exciting possibilities associated with the dramatic progress of fabrication technologies have appeared in photonics and many new are generated every day in research labs all over the world. Nowadays we are able to create routinely and in a controlled way complex dielectric, metallic or semiconductor structures with micro- and nano-scale dimensions. The time of "nano-photonics", the science of generating, routing and detecting light in micro- and nano-structured matter, is taking over. The research discipline with a "nano" brand in its name challenges modern theoretical and computational physics with many questions. To mention a few: Up to what length-scale one can use macroscopic phenomenological description of matter? Where is the interface between classical and quantum description of light in nano-scale structures? How can one combine different physical systems, different time- and length-scales in a single computational model? Answering these and many other questions would offer new directions both for basic and applied research with many promising applications to appear for advanced optical communications, optical computing and medical and biological diagnostic among others. Our attempts to answer these questions, to understand the light behavior at micro- and nano-scale will not be possible without joint efforts of physicists and engineers, applied mathematicians and programmers. Only getting together and working in unison we can hope to move forward.