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A Tutorial on the Classical Theories of Electromagnetic Scattering and Diffraction
Masud Mansuripur
Starting with Maxwell's equations, we derive the fundamental results of the Huygens-Fresnel-Kirchhoff and Rayleigh-Sommerfeld theories of scalar diffraction and scattering. These r…
Energy, linear momentum, and spin and orbital angular momenta of circularly polarized Laguerre-Gaussian wave-packets
Masud Mansuripur
We derive expressions for the energy, linear momentum, and angular momentum content of circularly polarized Laguerre-Gaussian wave-packets propagating in free space. The vectorial…
Dispersion of electromagnetic waves in linear, homogeneous, and isotropic media
Masud Mansuripur
An electromagnetic wave-packet propagating in a linear, homogeneous, and isotropic medium changes shape while its envelope travels with different velocities at different points in…
Ubiquity of Fourier Transformation in Optical Sciences
Masud Mansuripur
The Fourier transform operation is an important conceptual as well as computational tool in the arsenal of every practitioner of physical and mathematical sciences. We discuss some…