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The design task facing us is to shape the wing to realize aerodynamic characteristics well suited to the mission. Doing this requires a prediction method of either L1, L2, or L3 genus that maps the given geometry to its pressure field and ultimately to its performance. An early multidisciplinary design and optimization activity is the cycle 1 parametric design of the clean wing, A parametric design study evaluates the aircraft baseline configuration and it has the ability to arbitrarily vary those parameters that influence its shape and hence its performance. It determines the sensitivity of the vehicle effectiveness against some of the established requirements. The parametric effects of, for example, varying the wing planform are assessed, leading toward optimization of the layout by some measure of effectiveness. L0 and L1 tools are enhanced with surrogate models to speed up the aerodynamic evaluations. The vortex lattice method is presented as a mainstay tool in the clean-wing design process and is illustrated using a number of examples. The discussion of the design task continues for high-speed flight missions, indicating where the fidelity must be increased to L2 and L3 tools.
In this chapter, we study the motion of charges and electromagnetic waves. After studying static charges, uniformly moving charges, and the standard electrostatic method of the mirror image charges, we consider the multipole expansion of the electric and magnetic fields. The electric field is generated by monopole (electric charge) and higher multipole, and magnetic field by dipole and higher multipoles. Electromagnetic waves are then studied. For arbitrary moving charges, we calculate the retarded potentials, and in particular the Lienard–Wiechert forms. We then show that we need at least dipoles to generate electromagnetic waves. We end by describing Maxwell duality.
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