## Fundamental Problems in the Mathematical Theory of Diffraction: (steady State Processes) |

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### Contents

The Uniqueness Theorem The Emission principle | 6 |

U The diffraction of electromagnetic waves near a cylinder | 17 |

Diffraction of elastic waves near a clamped circular | 24 |

6 other sections not shown

### Common terms and phrases

2n+l 2s+l absolute convergence analogous asymptotic Bessel functions boundary conditions boundary problem Chap characteristic number coefficients components constructed contour values cylinder defined denotes different from zero differentiation diffraction Dirichlet Dirichlet problem double layer editor's Note electromagnetic elliptical Emission principle equa equation 9 expression F(ct finite number following form formulas Fourier series Fredholm fundamental functions Gertrude Blanch given Hankel functions Helmholtz equation inequalities infinity integral equations k)ds Kupradze linearly Mathieu equation Mathieu functions Mathieu-Hankel functions method modulus moreover Neumann problem normal derivative obtain obvious parabolic coordinates periodic solutions plane polar coordinates potential problem 19 proof prove region regular Replace Riemann surface satisfy the Emission screen Se2n Se2s sh f Sieger's expansions simple layer solu solution of system solutions of equation summands system 33 system 6U theorem theory tion translation vector vibrational equation whence