r = E_r ⁄ E_i

t = E_t ⁄ E_i

where E_i is the incident electric field amplitude, E_r is the reflected electric field amplitude and E_t is the transmitted electric field amplitude. (Note that the same definitions are used for both TE mode and TM mode.)

The values of R, T and A are calculated by the following equations,

R = |r|²

T = |t|² × n_sub ⁄ n_sup

A = 1 - R - T

where n_sup is the refractive index of the substrate and n_sup is the refractive index of the superstrate.

User defines the following parameters:

• Polarization of incident waves
• Incident angle of the waves
• Wavelength range
• Material at the front (source) side
• Multilayer structure (material and thickness for each layer)
• Material at the back (shade) side

The material parameters used in this tool are permittivity and permeability. For permittivity, the same interpolation method and sources are used as PhotonicsDB: Optical Constants.

For permeability, all the values are fixed to unity.

Related tools:

PhotonicsRT: Wave Propagation in Multilayer Sturactures is built on a MATLAB script developed in collaboration by Drs. Uday Chettiar and Alex Kildishev. Learn more about nanophotonics and plasmonics from Professor Shalaev's research webpage.

Development

• S. Ishii ... Developed and tested the tool (user interface and integrated simulation engine)
• U. Chettiar and A. Kildishev ... Developed the core simulation engine
• M. Thoreson and X. Ni ... Developed the tutorial and performed overall testing
• A. Kildishev ... Led the development effort

Support

• D. Kearney and G. Klimeck ... Provided Rappture and nanoHUB.org support
• U. Chettiar ... Performed the initial prototyping

Electromagnetic Theory, J. A. Stratton, McGraw-Hill Book Company (1941).

Principles of Optics - Electromagnetic theory of propagation, interference and diffraction of light, M. Born and E. Wolf, Cambridge University Press (2001).

Negative refractive index in optics of metal-dielectric composites, A.V. Kildishev, W. Cai, U. K. Chettiar, H-K. Yuan, A.K. Sarychev, V.P. Drachev, and V.M. Shalaev, J. Opt. Soc. Am. B, Vol.23, No.3 423-433 (2006).

Handbook of Optical Constants of Solids, Edward D. Palik (Ed.), Academic Press (1997).

Optical Constants of the Noble Metals, P. B. Johnson and R. W. Christy, Physical Review B Vol.6 n.12 (1972).

Researchers should cite this work as follows:

• Satoshi Ishii; Uday K. Chettiar; Xingjie Ni; Alexander V. Kildishev (2010), "PhotonicsRT: Wave Propagation in Multilayer Structures," http://nanohub.org/resources/photonicsrt. (DOI: 10254/nanohub-r5968.14).

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