Theory of Ellipsoidal Waves and Seidel Aberrations of Gaussian Beams
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概要
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Hermite-Gaussian beam type solutions of the Helmholtz' equation are obtained by the method of separation of variables using the ellipsoidal coordinates. Reflection and refraction of ellipsoidal electromagnetic waves are investigated as vector boundary value problems, and first and third order theories are established in accordance with first and third order geometorical optics. the first order theory is formally identical to the conventional theory of mode transformation of Gaussian beams. In the third order theory spherical aberration is interpreted as a superposition of two Gaussian beams. The third order (Seidel) aberrations obtained in this paper include those of geometrical optics (Schwarzschild's perturbation eikonal) as a special limiting case.
- 社団法人応用物理学会の論文
- 1973-06-05
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関連論文
- Common Aspects of Gaussian Beams, Ellipsoidal Waves and Multipole Radiation
- Theory of Ellipsoidal Waves and Seidel Aberrations of Gaussian Beams