A New Theory of Wood’s Anomalies on Optical Gratings
Applied Optics, Vol. 4, Issue 10, pp. 1275-1297 (1965)
http://dx.doi.org/10.1364/AO.4.001275
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Abstract
A new theory of Wood’s anomalies is presented which is based on a guided wave approach rather than the customary multiple scattering procedure. This approach provides both new insight and a method of calculation. It is shown that two distinct types of anomalies may exist: a Rayleigh wavelength type due to the emergence of a new spectal order at grazing angle, and a resonance type which is related to the guided complex waves supportable by the grating. A general theoretical treatment is presented which makes use of a surface reactance to take into account the standing waves in the grating grooves, and which derives the locations and detailed shapes of the anomalies. Rigorous results are obtained for a specific example; the amplitudes of all of the spectral orders are determined explicitly, and the Wood's anomaly effects are demonstrated clearly in graphical form for a variety of cases.
Citation
A. Hessel and A. A. Oliner, "A New Theory of Wood’s Anomalies on Optical Gratings," Appl. Opt. 4, 1275-1297 (1965)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-4-10-1275
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References
- R. W. Wood, Phil. Mag. 4, 396 (1902).
- C. H. Palmer, J. Opt. Soc. Am. 42, 269 (1952).
- J. E. Stewart and W. S. Gallaway, Appl. Opt. 4, 421 (1962).
- V. Twersky, Inst. Radio Engrs. Trans. AP-4, 330 (1956).
- R. F. Millar, Can. J. Phys. 39, 81 (1961).
- V. Twersky, J. Res. Natl. Bur. Std. 64D, 715 (1960).
- L. R. Ingersoll, Astrophys. J. 51, 129 (1920).
- J. Strong, Phys. Rev. 49, 291 (1936).
- R. W. Wood, Phil. Mag. 23, 310 (1912).
- Lord Rayleigh, Proc. Roy. Soc. (London) A79, 399 (1907).
- U. Fano, Ann. Phys. 32, 393 (1938).
- K. Artmann, Z. Phys. 119, 529 (1942).
- R. W. Wood, Phys. Rev. 48, 928 (1935).
- H. C. Palmer, J. Opt. Soc. Am. 46, 50 (1956).
- H. C. Palmer, J. Opt. Soc. Am. 51, 1438 (1961).
- B. A. Lippmann, J. Opt. Soc. Am. 43, 408 (1953).
- B. A. Lippmann and A. Oppenheim, Tech. Res. Group N.Y. (1954).
- S. N. Karp and J. Radlow, Inst. Radio Engrs. Trans. AP-4, 654 (1956).
- R. F. Millar, Can. J. Phys. 39, 104 (1961).
- V. Twersky, J. Appl. Phys. 23, 1099 (1952).
- V. Twersky, Rept. EDL-M105 Sylvania (1957).
- J. E. Burke and V. Twersky, Rept. EDL-E44 Sylvania (1960).
- V. Twersky, J. Opt. Soc. Am. 52, 145 (1962).
- V. Twersky, Inst. Radio Engrs. Trans. AP-10, 737 (1962).
- A. A. Oliner and A. Hessel, Inst. Radio Engrs. Trans. AP-7, Spec. Suppl. S201 (1959).
- A. Hessel, Rept. PIBMRI 825-60, Polytechnic Institute of Brooklyn (1960).
- T. Tamir and A. A. Oliner, Proc. Inst. Elec. Engrs. (London) 110, 310, 325 (1963).
- J. Meixner and F. W. Schaefke, Mathieusche Funktionen und Sphaeroidfunktionen (Springer-Verlag, Berlin, 1954), pp. 89-93.
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