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The modes of an open resonator with plane circular mirrors

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Summary

A new method is developed to calculate the frequencies, amplitudes, and energy losses of the modes of an open resonator consisting of two plane circular mirrors.

The present theory does not suffer from some of the disadvantages of earlier theories. Numerical results are given for a resonator with a small Fresnel number.

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References

  1. Fox, A. G. and T. Li, Bell System Tech. J. 40 (1961) 453.

    Google Scholar 

  2. Streifer, W., J. Opt. Soc. Am. 55 (1965) 868.

    Google Scholar 

  3. Heurtley, J. C. and W. Streifer, ibid. 1472.

    Google Scholar 

  4. Lotsch, H. K. V., Optica Acta 12 (1965) 113.

    Google Scholar 

  5. Ogura, H. and Y. Yoshida, Japan. J. Appl. Phys. 3 (1964) 546.

    Google Scholar 

  6. Sommerfeld, A., Lectures on theoretical physics, vol. IV Optics, Academic Press, New York 1949.

    Google Scholar 

  7. Bouwkamp, C. J., Diffraction Theory, Research report EM-5, Math. Res. Group, New York University 1953.

  8. Erdélyi, A., W. Magnus, F. Oberhettinger, and F. G. Tricomi, Tables of Integral Transforms, Vol. II p. 342, McGraw-Hill, New York 1954.

    Google Scholar 

  9. Authors [8],, Higher Transcendental Functions, Vol. III p. 262, McGraw-Hill, New York 1953.

    Google Scholar 

  10. Op. Cit. [9], p. 252.

    Google Scholar 

  11. Op. Cit. [8],. p. 314.

    Google Scholar 

  12. Op. Cit. [9], p. 188.

    Google Scholar 

  13. Bouwkamp, C. J., Proc. K. Ned. Akad. Wet. 52 (1949) 987.

    Google Scholar 

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Ooms, G. The modes of an open resonator with plane circular mirrors. Appl. Sci. Res. 19, 198–212 (1968). https://doi.org/10.1007/BF00383922

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  • DOI: https://doi.org/10.1007/BF00383922

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