A constraint on the maximum reflectance of rapidly oscillating dielectric gratings

SIAM Journal on Control and Optimization

Volumn 40, Issue 6, 2002, Pages 1858-1860

  Bao, Gang ^a   Dobson, David C ^b   Ramdani, Karim ^a  

^a MICHIGAN STATE UNIVERSITY   (United States)

^b TEXAS A AND M UNIVERSITY   (United States)

Author keywords

Diffraction grating; Maximum reflectance; Optimal design

Indexed keywords

APPROXIMATION THEORY; CONSTRAINT THEORY; DIELECTRIC MATERIALS; GRAPH THEORY; INTERFACES (MATERIALS); LIGHT REFLECTION; LIGHT TRANSMISSION; MULTILAYERS; OPTIMIZATION; REFRACTIVE INDEX;

DIELECTRIC GRATING; OPTIMAL DESIGN PROBLEM;

DIFFRACTION GRATINGS;

EID: 0036914289     PISSN: 03630129     EISSN: None     Source Type: Journal    
DOI: 10.1137/S036301290037435X     Document Type: Article

References (12)

1. M. Auslender, D. Levy, and S. Hava, Design and analysis of antireflection grating structure for solar energy absorber, in Optical Materials Technology for Energy Efficiency and Solar Energy Conversion XV, C.M. Lamperyt, C.-G. Granqvist, M. Graetzel, and S. Deb, eds., Proc. SPIE 3138, SPIE, Bellingham, WA, 1997, pp. 160-165.
2. G. Bao and E. Bonnetier, Optimal design of periodic diffractive structures in TM polarization, Appl. Math. Optim., 43 (2001), pp. 103-116.
3. G. Bao, D. C. Dobson, and J. A. Cox, Mathematical studies of rigorous grating theory, J. Opt. Soc. Amer. A, 12 (1995), pp. 1029-1042.
4. M. Born and E. Wolf, Principles of Optics, Electromagnetic Theory of Propagation Interference and Diffraction of Light, 6th ed., Pergamon Press, Oxford, UK, 1980.
5. P. G. Ciarlet, The Finite Element Method for Elliptic Problems, North-Holland, Amsterdam, 1978.
6. D. C. Dobson, Optimal design of periodic antireflective structures for the Helmholtz equation, European. J. Appl. Math., 4 (1993), pp. 321-340.
7. D. C. Dobson, Optimal shape design of blazed diffraction gratings, Appl. Math. Optim., 40 (1999), pp. 61-78.
8. A. B. Harker and J. F. Denatale, Diamond gradient index "moth-eye" antireflection surfaces for LWIR windows; in Window and Dome Technologies and Materials III, Paul Klocek, ed., Proc. SPIE 1760, Bellingham, WA, 1992, pp. 261-267.
9. L. Hömander, Linear Partial Differential Operators, Springer-Verlag, Berlin, 1969.
10. L. Nirenberg, Uniqueness in Cauchy problems for differential operators with constant leading coefficients, Comm. Pure Appl. Math., 10 (1957), pp. 89-105.
11. R. Petit, ed., Electromagnetic Theory of Gratings, Topics in Current Physics 22, Springer-Verlag, Berlin, New York, 1980.
12. R. Petit and G. Bouchitté, Replacement of a very fine grating by a stratified layer: Homogenization techniques, and the multiple scale method, in Proceedings of the International Conference on the Application and Theory of Periodic Structures, Diffraction Gratings, and Moire Phenomena III, Jeremy M. Lerner, ed., Proc. SPIE 815, Bellingham, WA, 1988, pp. 25-31.