Artículo
Abstract:
The usual differential method for solving the grating problem in the H∥ case is shown to be unable to predict the efficiencies of blazed gratings in a reliable manner. Its predictions are compared with those obtained using the integral method developed by Maystre, a reliable method that has shown its validity over a wide range of applications. The efficiencies of sinusoidal gratings as a function of angle of incidence are calculated by both methods for two values of the groove-height-to-period ratio. For 0.05 (low modulations) both formalisms yield similar results, but for 0.2 only a qualitative agreement is observed. The differential method is shown to involve an approximation valid only for low-modulated surfaces, a fact that accounts for the observed discrepancies. As a self-consistency test, the fulfillment of the electromagnetic boundary conditions is checked by calculating the jumps of the field components, which should be continuous at the grating surface. © 1987 Optical Society of America.
Registro:
| Documento: | Artículo |
| Título: | Comparison between the differential and integral methods used to solve the grating problem in the HH∥ase |
| Autor: | Depine, R.A.; Simon, J.M. |
| Filiación: | Departamento de Fisica, Facultad de Ciencics Exactas y Naturales, Laboratorio de Optica, Universidad de Buenos Aires, Buenos Aires, 1428, Argentina |
| Año: | 1987 |
| Volumen: | 4 |
| Número: | 5 |
| Página de inicio: | 834 |
| Página de fin: | 838 |
| DOI: | http://dx.doi.org/10.1364/JOSAA.4.000834 |
| Título revista: | Journal of the Optical Society of America A: Optics and Image Science, and Vision |
| Título revista abreviado: | J Opt Soc Am A |
| ISSN: | 10847529 |
| Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10847529_v4_n5_p834_Depine |
Referencias:
- Cerutti-Maori, G., Petit, R., Cadilhac, M., Etude numerique du champ diffracte par un reseau (1969) C. R. Acad. Sci. (Paris), 268 B, pp. 1060-1063
- Neviere, N., Vincent, P., Petit, R., Sur la theorie du reseau conducteur et ses applications a l'optique (1974) Nouv. Rev. Opt, 5, pp. 65-77
- Vincent, P., Differential methods (1980) Electromagnetic Theory of Gratings, 22, p. 101. , of Topics in Current Physics, R. Petit, ed., (Springer-Verlag, Berlin)
- Depine, R.A., Simon, J.M., Diffraction grating efficiencies: An exact differential algorithm valid for high conductivities (1983) Opt. Acta, 30, pp. 1273-1286
- Simon, J.M., Depine, R.A., Diffraction grating efficiencies: Differential methods for H|| case (1984) Optik, 67, pp. 145-153
- Maystre, D., A new general integral theory for dielectric coated gratings (1978) J. Opt. Soc. Am, 68, pp. 490-495
- Maystre, D., Integral methods (1980) Electromagnetic Theory of Gratings, 22, p. 63. , of Topics in Current Physics, R. Petit, ed., (Springer-Verlag, Berlin)
- Maystre, D., Neviere, M., Petit, R., Experimental verifications and applications of the theory (1980) Electromagnetic Theory of Gratings, 22, p. 159. , of Topics in Current Physics, R. Petit, ed., (Springer-Verlag, Berlin)
Citas:
---------- APA ----------
Depine, R.A. & Simon, J.M. (1987) . Comparison between the differential and integral methods used to solve the grating problem in the HH∥ase. Journal of the Optical Society of America A: Optics and Image Science, and Vision, 4(5), 834-838.http://dx.doi.org/10.1364/JOSAA.4.000834
---------- CHICAGO ----------
Depine, R.A., Simon, J.M. "Comparison between the differential and integral methods used to solve the grating problem in the HH∥ase" . Journal of the Optical Society of America A: Optics and Image Science, and Vision 4, no. 5 (1987) : 834-838.http://dx.doi.org/10.1364/JOSAA.4.000834
---------- MLA ----------
Depine, R.A., Simon, J.M. "Comparison between the differential and integral methods used to solve the grating problem in the HH∥ase" . Journal of the Optical Society of America A: Optics and Image Science, and Vision, vol. 4, no. 5, 1987, pp. 834-838.http://dx.doi.org/10.1364/JOSAA.4.000834
---------- VANCOUVER ----------
Depine, R.A., Simon, J.M. Comparison between the differential and integral methods used to solve the grating problem in the HH∥ase. J Opt Soc Am A. 1987;4(5):834-838.http://dx.doi.org/10.1364/JOSAA.4.000834
