Two Variational Principles in Geometrical Optics-Comparisons-

Masahiro HASHIMOTO

Two Variational Principles in Geometrical Optics-Comparisons-

Masahiro HASHIMOTO

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The two variational principles, the Maupertuis' and the Hamilton's principle, are discussed in conjunction with the Fermat's principle. These two principles are shown to describe two different aspects of waves, thus resulting in the different geometry of wave propagation, the treatment of which is thus called the stationary optics or the dynamical optics, respectively. Comparisons for the results obtained from these geometrical optics are given. Another new variational principle valid for the dynamical waves reflected/refracted at the inter-faces, which has not yet been discovered so far, is also derived.

Publication: IEICE TRANSACTIONS on Electronics Vol.E79-C No.10 pp.1312-1320

Publication Date: 1996/10/25

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Type of Manuscript: Special Section PAPER (Special Issue on Electromagnetic Theory-Foundations and Applications)

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Masahiro HASHIMOTO, "Two Variational Principles in Geometrical Optics-Comparisons-" in IEICE TRANSACTIONS on Electronics, vol. E79-C, no. 10, pp. 1312-1320, October 1996, doi: .
Abstract: The two variational principles, the Maupertuis' and the Hamilton's principle, are discussed in conjunction with the Fermat's principle. These two principles are shown to describe two different aspects of waves, thus resulting in the different geometry of wave propagation, the treatment of which is thus called the stationary optics or the dynamical optics, respectively. Comparisons for the results obtained from these geometrical optics are given. Another new variational principle valid for the dynamical waves reflected/refracted at the inter-faces, which has not yet been discovered so far, is also derived.
URL: https://globals.ieice.org/en_transactions/electronics/10.1587/e79-c_10_1312/_p

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@ARTICLE{e79-c_10_1312,
author={Masahiro HASHIMOTO, },
journal={IEICE TRANSACTIONS on Electronics},
title={Two Variational Principles in Geometrical Optics-Comparisons-},
year={1996},
volume={E79-C},
number={10},
pages={1312-1320},
abstract={The two variational principles, the Maupertuis' and the Hamilton's principle, are discussed in conjunction with the Fermat's principle. These two principles are shown to describe two different aspects of waves, thus resulting in the different geometry of wave propagation, the treatment of which is thus called the stationary optics or the dynamical optics, respectively. Comparisons for the results obtained from these geometrical optics are given. Another new variational principle valid for the dynamical waves reflected/refracted at the inter-faces, which has not yet been discovered so far, is also derived.},
keywords={},
doi={},
ISSN={},
month={October},}

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TY - JOUR
TI - Two Variational Principles in Geometrical Optics-Comparisons-
T2 - IEICE TRANSACTIONS on Electronics
SP - 1312
EP - 1320
AU - Masahiro HASHIMOTO
PY - 1996
DO -
JO - IEICE TRANSACTIONS on Electronics
SN -
VL - E79-C
IS - 10
JA - IEICE TRANSACTIONS on Electronics
Y1 - October 1996
AB - The two variational principles, the Maupertuis' and the Hamilton's principle, are discussed in conjunction with the Fermat's principle. These two principles are shown to describe two different aspects of waves, thus resulting in the different geometry of wave propagation, the treatment of which is thus called the stationary optics or the dynamical optics, respectively. Comparisons for the results obtained from these geometrical optics are given. Another new variational principle valid for the dynamical waves reflected/refracted at the inter-faces, which has not yet been discovered so far, is also derived.
ER -