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.
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 |