An extremal problem related to negative refraction

Details An extremal problem related to negative refraction An extremal problem related to negative refraction

2005-06-30

arxiv.org/abs/math/0506620v1

Trans. R. Norw. Soc. Sci. Lett., no. 3, pp 1-8 (2005)

Mathematics

Complex Variables

8 pages

Scientific paper

We solve an extremal problem that arises in the study of the refractive indices of passive metamaterials. The problem concerns Hermitian functions in $H^2$ of the upper half-plane, i.e., $H^2$ functions satisfying $f(-x)=\bar{f(x)}$. An additional requirement is that the imaginary part of $f$ be nonnegative for nonnegative arguments. We parameterize the class of such functions whose real part is constant on an interval, and solve the problem of minimizing the imaginary part on the interval on which the function's real part takes a given constant value.

Affiliated with

Also associated with

No associations

Rating

An extremal problem related to negative refraction does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with An extremal problem related to negative refraction, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and An extremal problem related to negative refraction will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-235208