Abstract

We obtain exact analytic expressions for (i) the electromagnetic energy radial density within and outside a multilayered sphere and (ii) the total electromagnetic energy stored within its core and each of its shells. Explicit expressions for the special cases of lossless core and shell are also provided. The general solution is based on the compact recursive transfer-matrix method, and its validity includes also magnetic media. The theory is illustrated on examples of electric field enhancement within various metallo–dielectric silica–gold multilayered spheres. The user-friendly MATLAB code, which includes the theoretical treatment, is available as a supplement to the paper.

© 2019 Optical Society of America

Full Article  |  PDF Article
OSA Recommended Articles
Electromagnetic energy within magnetic spheres

Tiago José Arruda and Alexandre Souto Martinez
J. Opt. Soc. Am. A 27(5) 992-1001 (2010)

Electromagnetic energy within single-resonance chiral metamaterial spheres

Tiago J. Arruda, Felipe A. Pinheiro, and Alexandre S. Martinez
J. Opt. Soc. Am. A 30(6) 1205-1212 (2013)

References

You do not have subscription access to this journal. Citation lists with outbound citation links are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription

Supplementary Material (1)

NameDescription
» Code 1       MATLAB code with the theoretical treatment reported in the manuscript.

Cited By

You do not have subscription access to this journal. Cited by links are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription

Figures (2)

You do not have subscription access to this journal. Figure files are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription

Equations (69)

You do not have subscription access to this journal. Equations are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription