A Dynamical Theory of the Electromagnetic Field

Maxwell, James Clerk

doi:10.1017/cbo9780511698095.028

Cited by 412 publications

(469 citation statements)

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“…Operationally, they are distinguished from solids on the basis of their mechanical response as expressed by the structural relaxation time, t, defined via Maxwell's relation 1 as the ratio between the shear viscosity Z and the instantaneous shear modulus G N . Materials in which t is shorter than the experimental observation time are considered liquids, whereas in the opposite case, they are regarded as (disordered) solids.…”

mentioning

confidence: 99%

Supercooled liquids with enhanced orientational order

2012

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The nature of the glass transition, the transformation of a liquid into a disordered solid, still remains one of the most intriguing unsolved problems in materials science. Recent models rationalize crucial features of vitrification with the presence of medium-range ordered regions coexisting with the isotropic liquid. Here, in line with this prediction, we report an extraordinary enhancement in bond orientational order in ultrathin films of supercooled polyols, grown by physical vapour deposition. By varying the deposition conditions and the molecular size, we could tune the kinetic stability of the liquid phase enriched in bond orientational order towards conversion into the ordinary liquid phase. We observed a strong increase in the dielectric strength with respect to the ordinary supercooled liquid and slower structural dynamics, suggesting the existence of a metastable liquid phase with improved orientational correlations.

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confidence: 99%

Supercooled liquids with enhanced orientational order

2012

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“…A rigorous treatment of the full theory of electromagnetic elds according to the Maxwell equations [190] can be found in textbooks such as [24,101,146,168,223,259]. Here, the traditional and practical treatment of X-ray wave-elds of [101,223] will be followed.…”

Section: Propagation Of Scalar Wave-fieldsmentioning

confidence: 99%

Coherent X-ray diffractive imaging on the single-cell-level of microbial samples

Wilke

2015

Göttingen Series in X-Ray Physics

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“…In the above expansions, it is assumed r > r , and N (p) nm (k,r) and M (p) nm (k,r) are vector spherical wave functions (VSWF) of degree n and order m, respectively, z (1) n (kr ) is the spherical Bessel funcition and z (4) n (kr) denotes the spherical Hankel function of second type with k being the wave number in the medium. The above derivations used the relations between vector spherical harmonics and vector spherical wave functions [45].…”

Section: Spherical Expansion For Tangential Trace Of Dyadic Green's Fmentioning

confidence: 99%

“…In the last century, technologies that rely on exploiting solutions to Maxwell's equation [1] have been revolutionary in terms of their impact on society. The wealth and breadth of the impact of these technologies, which have affected almost every aspect of modern society, can be attributed to the succinct framework of electromagnetic phenomena via Maxwell's equations and methods (both theoretical and experimental) developed glean insight into the physics of electromagnetics.…”

Section: Introductionmentioning

confidence: 99%

Time-Dependent Lorentz-Mie-Debye Formulation for Electromagnetic Scattering From Dielectric Spheres (Invited Paper)

Shanker²

2015

PIER

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Abstract-Canonical solutions to frequency domain Maxwell's equations, in the spherical coordinate system, have found extensive use as is evident from citations in the scientific literature. What is conspicuous by its absence is lack of such expressions for transient Maxwell systems. The existence of such expressions or approximations, provide the means to glean interesting physics in a variety of applications as well as validate existing numerical fullwave solvers. However, developing these expressions is beset with challenges; direct inverse Fourier transforms of frequency domain expressions are unstable. Successful approaches that ameliorate this instability are more recent endeavor. In this paper, we generalize our earlier contribution to this effort by exploiting a novel representation of the retarded potential to derive expressions for scattering from a dielectric sphere. Several results are provided that demonstrate the stability and accuracy of the method.

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A Dynamical Theory of the Electromagnetic Field

Cited by 412 publications

References 0 publications

Supercooled liquids with enhanced orientational order

Supercooled liquids with enhanced orientational order

Coherent X-ray diffractive imaging on the single-cell-level of microbial samples

Time-Dependent Lorentz-Mie-Debye Formulation for Electromagnetic Scattering From Dielectric Spheres (Invited Paper)

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