Journal of the European Optical Society - Rapid publications, Vol 4 (2009)

Duty cycle tolerant binary gratings for fabricable short period phase masks

E. Gamet, F. Pigeon, O. Parriaux


Wavelength scale 1D binary gratings of rectangular corrugation profile are often used as diffractive elements acting on incident free space waves under different incidence angle, wavelength and polarization. Their optical function is best understood by considering the interplay of the grating modes propagating up and down the periodic walls and slits of the segmented structure. The interference conditions between modes depend on the difference between the effective index of the interfering modes and on their relative amplitude. This difference and relative amplitude depend critically on the ratio between the wall and slit widths which is difficult to control technologically. The condition for a wide tolerance of the effective index difference and for a balanced mode excitation on the wall/slit ratio is found analytically and once for all for a wide class of 1D gratings. It is also found that TE interference elements may exhibit a very wide wall/slit ratio tolerance domain.

© The Authors. All rights reserved. [DOI: 10.2971/jeos.2009.09047]

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T. Tamir, "Beam and waveguide couplers" in Integrated Optics, T. Tamir, ed., pp.83-137 (Springer-Verlag, New York, 1985).

T. F. Krauss, R. M. Delarue, and S. Brand, "Two-dimensional photonic-bandgap structures operating at near-infrared wave- lengths" Nature 383, 699-702 (1996).

T. C. Kleckner, D. Modotto, A. Locatelli, J. P. Mondia, S. Linden, R. Morandotti, C. D. Angelis, C. R. Stanley, H. M. van Driel, and J. S. Aitchison, "Design, Fabrication, and Characterization of Deep- Etched Waveguide Gratings" J. Lightwave Technol. 23, 3832-3842 (2005).

D. K. Jacob, S. C. Dunn, and M. G. Moharam, "Design considera- tions for narrow-band dielectric resonant grating reflection filters of finite length" J. Opt. Soc. Am. A 17, 1241-1249 (2000).

E. Bonnet, A. Cachard, A. V. Tishchenko, and O. Parriaux, "Scaling rules for the design of a narrow-band grating filter at the focus of a free-space beam" Proc. SPIE 5450, 217 (2004).

S. Goeman, S. Boons, B. Dhoedt, K. Vandeputte, K. Caekebeke, P. van Daele, and R. Baets, "First demonstration of highly re- flective and highly polarizationselective diffraction gratings (GIRO- gratings) for long-wavelength VCSELs" IEEE Photonic. Tech. L. 10, 1205-1207 (1998).

T. Moser, J. Balmer, D. Delbeke, P. Muys, S. Verstuyft, and R. Baets, "Intracavity generation of radially polarized CO2 laser beams based on a simple binary dielectric diffraction grating" App. Opt. 45, 8517-8522 (2006).

D. Mawet, P. Riaud, J. Surdej, and J. Baudrand, "Subwavelength surface-relief gratings for stellar coronagraphy" Appl. Opt. 44, 7313-7321 (2005).

C. F. R. Mateus, M. C. Y. Huang, Y. Deng, A. R. Neureuther, and C. Chang-Hasnain, "Ultrabroadband mirror using low-index cladded subwavelength grating" IEEE Photonic. Tech. L. 16, 518- 520 (2004).

P. Lalanne, and G. M. Morris, "Highly improved convergence of the coupled-wave method for TM polarization" J. Opt. Soc. Am. A 13, 779-784 (1996).

N. M. Lyndin, O. Parriaux, and A. V. Tishchenko, "Modal analy- sis and suppression of the Fourier modal method instabilities in highly conductive gratings" J. Opt. Soc. Am. A 24, 3781-3788 (2007).

A. V. Tishchenko, "'Phenomenological representation of deep and high contrast lamellar gratings by means of the modal method" Opt. Quant. Electron. 37, 309-330 (2005).

S. M. Rytov, "Electromagnetic properties of a finely stratified medium" Sov. Phys. JETP-USSR 2, 466-475 (1956).

T. Clausnitzer, T. Kämpfe, E.-B. Kley, A. Tünnermann, A. V. Tishchenko, and O. Parriaux,"Highly-dispersive dielectric transmission gratings with 100% diffraction efficiency" Opt. Ex- press 16, 5577-5584 (2008).

T. Clausnitzer, T. Kämpfe, E.-B. Kley, A. Tünnermann, U. Peschel, A. V. Tishchenko, and O. Parriaux, "An intelligible explanation of highly-efficient diffraction in deep dielectric rectangular transmis- sion gratings" Opt. Express 13, 10448-10456 (2005).

A. Bunkowski, O. Burmeister, K. Danzmann, R. Schnabel, T. Claus- nitzer, E.-B. Kley, and A. Tünnermann, "Demonstration of three- port grating phase relations" Opt. Lett. 31, 2384-2386 (2006).

E. Gamet, A. V. Tishchenko, and O. Parriaux, "Cancellation of the zeroth order in a phase mask by mode interplay in a high index contrast binary grating" Appl. Opt. 46, 6719-6726 (2007).