## A FORTRAN code for the scattering of EM waves by a sphere with a nonconcentric spherical inclusion.(English)Zbl 0926.65094

Summary: We present a FORTRAN code for the scattering of an electromagnetic (EM) plane wave from an eccentrically placed sphere located within another sphere. This program calculates the Mueller scattering matrix elements, $$S_{ij}$$, the extinction, scattering, and absorption efficiencies and the asymmetry parameter. The incident angle of the incoming plane wave, the free space wavelength, the radii, indices of refraction, and the distance of separation between the centers of the two spheres are all arbitrary. With minor modifications, the program can be made to vary in the incident beam, distance, or inclusion radius. Of particular interest is the variation in the size of the host sphere, which can be simulated to study the resonance features of a particular system. The main code and all the subroutines are in double precision to ensure a higher degree of accuracy.

### MSC:

 65M06 Finite difference methods for initial value and initial-boundary value problems involving PDEs 78M25 Numerical methods in optics (MSC2010) 78-04 Software, source code, etc. for problems pertaining to optics and electromagnetic theory 78A45 Diffraction, scattering 35Q60 PDEs in connection with optics and electromagnetic theory

inclusion
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### References:

 [1] Goldenson, J.; Wilcox, J.D., Carrier dusts for toxic aerosols. I. preliminary survey of dusts, TCR-66, (1950), Chemical Corps Technical Command, Army Chemical Center [2] Milly, G.H.; Black, R.M., Report of field test 266, static test of a single 10lb. experimental bomb filled GB on carrier dust, TCIR-581, (1950), Chemical Corps Technical Command, Army Chemical Center [3] Aden, A.L.; Kerker, M., Scattering of electromagnetic waves from two concentric spheres, J. appl. phys., 22, 1242-1246, (1951) · Zbl 0043.41603 [4] Fenn, R.W.; Oser, H., Scattering properties of concentric soot-water spheres for visible and infrared light, Appl. opt., 4, 1504-1509, (1965) [5] Fuller, K.A., Scattering of light by coated spheres, Opt. lett., 18, 257-259, (1993) [6] Wang, D.S.; Barber, P.W., Scattering by inhomogeneous nonspherical objects, Appl. opt., 18, 1190-1197, (1979) [7] Wang, D.S., Light scattering by nonspherical multilayered particles, () [8] Chowdhury, D.Q.; Hill, S.C.; Barber, P.W., Morphology-dependent resonances in radially inhomogeneous spheres, J. opt. soc. am. A, 8, 1702-1705, (1991) [9] Chýlek, P.; Srivastava, V.; Pinnick, R.G.; Wang, R.T., Scattering of electromagnetic waves by composite spherical particles: experiment and effective medium approximations, Appl. opt., 27, 2396-2404, (1988) [10] Friedman, B.; Russek, J., Addition theorems for spherical waves, Q. appl. math., 12, 13-23, (1954) · Zbl 0058.05802 [11] Stein, S., Addition theorems for spherical wave functions, Q. appl. math., 19, 15-24, (1961) · Zbl 0131.30401 [12] Cruzan, O.R., Translational addition theorems for spherical vector wave functions, Q. appl. math., 20, 33-40, (1962) · Zbl 0133.32402 [13] Fikioris, J.G.; Uzunoglu, N.K., Scattering from an eccentrically stratified dielectric sphere, J. opt. soc. am., 69, 1359-1366, (1979) [14] Borghese, F.; Denti, P.; Saija, R.; Sindoni, O.I., Optical properties of spheres containing a spherical eccentric inclusion, J. opt. soc. am. A, 9, 1327-1335, (1992) [15] Fuller, K.A., Scattering and absorption by inhomogeneous spheres and sphere aggregates, (), 249-257 [16] G. Videen, D. Ngo, P. Chýlek and R.G. Pinnick, Light scattering from a sphere with an irregular inclusion, J. Opt. Soc. Am. A 12, 922-928. [17] Bobbert, P.A.; Vlieger, J., Light scattering by a sphere on a substrate, Physica A, 137, 209-241, (1986) [18] Press, W.H.; Flannery, B.P.; Teukolsky, S.A.; Vetterling, W.T., Numerical recipes, (1989), Cambridge Press Cambridge · Zbl 0698.65001 [19] Ngo, D., Light scattering from a sphere with a nonconcentric spherical inclusion, () [20] Bohren, C.F.; Huffman, D.R., Absorption and scattering of light by small particles, (1983), Wiley New York
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