Abstract
Based on the results of the operations of del, including the gradient, the curl, and the divergence obtained under nonorthogonal curvilinear coordinate transformations, we present a derivation of the scaling laws for electromagnetic waves, acoustic waves, and matter waves in a framework that is fully unified. Our derivation approach does not involve any tensor analysis or differential element analysis and may serve as an important supplement to those derivation methods established previously.
© 2011 Optical Society of America
Full Article | PDF ArticleMore Like This
Jin Jer Huang, Xiao Yong Hu, De Ming Ren, and Yan Chen Qu
J. Opt. Soc. Am. B 23(7) 1312-1322 (2006)
Yong Yoon Lee and Doyeol Ahn
J. Opt. Soc. Am. B 30(1) 140-148 (2013)
Chengfu Yang, Jingjing Yang, Ming Huang, Zhe Xiao, and Jinhui Peng
Opt. Express 19(2) 1147-1157 (2011)