In variation calculus, the Fermat’ s theory is similar to the Hamilton’ s theory except that Hamilton’ s theory uses time as the independent variable to achieve minimum of a function while Fermat’ s theory uses space as the independent variable1. That is one of the essential differences between dynamics and optics. When time
coordinate t in dynamics is substituted by space coordinate z, and generalized momentum is introduced, optics is obviously similar to dynamics. Thus, we can use corresponding quantum mechanics methods to
handle similar phenomena in optics. First, in this paper, the concept of potential energy of Hamilton operator is introduced. Based on this, the law of energy minimization of a system, which is composed of two parallel waveguide, is used to deal with the transverse coupling between them. A more understandable result is gotten
and the comparison between the results of classical electromagnetic methods is discussed.
Access to the requested content is limited to institutions that have purchased or subscribe to SPIE eBooks.
You are receiving this notice because your organization may not have SPIE eBooks access.*
*Shibboleth/Open Athens users─please
sign in
to access your institution's subscriptions.
To obtain this item, you may purchase the complete book in print or electronic format on
SPIE.org.
INSTITUTIONAL Select your institution to access the SPIE Digital Library.
PERSONAL Sign in with your SPIE account to access your personal subscriptions or to use specific features such as save to my library, sign up for alerts, save searches, etc.