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Journal of the Optical Society of America A
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Journal of the Optical Society of America A
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On the generalized Wertheim law in integrated photoelasticity
Leo Ainola, Hillar Aben Two-dimensional photoelasticity is based on the classical Wertheim law. The integral Wertheim law can be used in integrated photoelasticity only in the case when the directions of the secondary principal stresses are constant on the light beam. We generalize the integral Wertheim law for the case ... [J. Opt. Soc. Am. A 25, 1843-1849 (2008)]
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Modified diffraction theory of Kirchhoff
Yusuf Z. Umul The diffraction theory of Kirchhoff is reinterpreted and a new form of a surface diffraction integral is developed by using the axioms of the modified theory of physical optics, which leads to the exact scattered fields by conducting bodies. The new integral is arranged according to the ... [J. Opt. Soc. Am. A 25, 1850-1860 (2008)]
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Appropriate interface termination to improve imaging resolution of multilayered structures in the infrared and optical canalization regime
Xuan Li, Yi Jin Appropriate surface termination is used to improve dramatically the subwavelength imaging resolution of a multilayered positive-negative permittivity structure operating in the infrared or optical canalization regime. The imaging resolution of the improved multilayered structure resists practical ... [J. Opt. Soc. Am. A 25, 1861-1865 (2008)]
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Application of Mie theory to assess structure of spheroidal scattering in backscattering geometries
Kevin J. Chalut, Michael G. Giacomelli, Adam Wax Inverse light scattering analysis seeks to associate measured scattering properties with the most probable theoretical scattering distribution. Although Mie theory is a spherical scattering model, it has been used successfully for discerning the geometry of spheroidal scatterers. The goal of this ... [J. Opt. Soc. Am. A 25, 1866-1874 (2008)]
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Unitary transformation between Cartesian- and polar-pixellated screens
Luis Edgar Vicent, Kurt Bernardo Wolf A unitary transformation between Cartesian and polar pixellations of finite two-dimensional images is obtained from the su(2) model for discrete and finite signals. This transformation analyzes the original image into its finite Cartesian ?Laguerre-Kravchuk? modes (involving ... [J. Opt. Soc. Am. A 25, 1875-1884 (2008)]
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Analysis of the influence of the passive facet of blazed transmission gratings in the intermediate diffraction regime
Oliver Sandfuchs, Daniel P?, Stefan Sinzinger, Alexander Pesch, Robert Brunner Blazed diffraction gratings are of enormous practical importance for imaging and analyzing hybrid optical systems. The intermediate diffraction regime is characterized by the transition from the scalar to the rigorous electromagnetic theory. An effect known as shadowing occurs and reduces the ... [J. Opt. Soc. Am. A 25, 1885-1893 (2008)]
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Holographic features of spatial coherence wavelets
Roman Castaneda, Rafael Betancur, Diego Hincapie The behavior of the marginal power spectrum as a two-channel-multiplexed hologram is analyzed. Its ?negative energies? make it quite different from the conventional holograms, i.e., it is not recordable in general and the objects to be reconstructed (the cross-spectral densities ... [J. Opt. Soc. Am. A 25, 1894-1901 (2008)]
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Equivalence between optimum Young's fringe visibility and position-independent stochastic behavior of electromagnetic fields
Rosario Mart?z-Herrero, Pedro M. Mej? Stochastic electromagnetic fields characterized by optimized fringe visibility in a Young interferometric arrangement are shown to be those whose random character is position independent. The optimization procedure involves local unitary transformations, which can be implemented by using reversible ... [J. Opt. Soc. Am. A 25, 1902-1905 (2008)]
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Reconstruction of periodic structures from optical scattering measurements using adjoint equations
Gonzalo R. Feij?r/>A new numerical approach to efficiently reconstruct the profile of a grating from measurements of reflection coefficients is demonstrated. The problem is posed in the mathematical framework of an inverse scattering problem and solved using gradient-based algorithms. The gradient is computed ... [J. Opt. Soc. Am. A 25, 1906-1920 (2008)]
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Simulation of subwavelength metallic gratings using a new implementation of the recursive convolution finite-difference time-domain algorithm
Saswatee Banerjee, Tetsuya Hoshino, James B. Cole We introduce a new implementation of the finite-difference time-domain (FDTD) algorithm with recursive convolution (RC) for first-order Drude metals. We implemented RC for both Maxwell's equations for light polarized in the plane of incidence (TM mode) and the wave equation for light polarized ... [J. Opt. Soc. Am. A 25, 1921-1928 (2008)]
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