Abstract
We introduce an “objective-first” strategy for designing nanophotonic devices, and we demonstrate the design of nanophotonic coupler, cloak, and mimic devices. Simply put, our objective-first method works by prioritizing the performance of the device even above satisfying Maxwell’s equations. We show how this is accomplished starting from Maxwell’s equations, applying numerical discretization, and then solving not only for the field variables but the structure variables as well. We then demonstrate the ability to quickly produce designs for both traditional devices such as waveguide couplers, as well as more exotic devices such as optical cloaks and mimics. Finally, we point the reader to future improvements and extensions of our method.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
J. Lu, J. Vuckovic, Objective-first design of high-efficiency, small-footprint couplers between arbitrary nanophotonic waveguide modes. Opt. Express 20, 7221–7236 (2012)
A. Taflove, S.C. Hagness, Computational Electrodynamics, 3rd edn. (Artech House, Norwook, 2005), Sect. 3.3.2
K.S. Yee, Numerical solution of initial boundary value problems involving Maxwell’s equations in isotropic media. IEEE Trans. Antennas Propag. 14, 802–807 (1966)
S.G. Johnson, Notes on perfectly matched layers (PMLs) (2010). http://math.mit.edu/~stevenj/18.369/pml.pdf
W. Shin, S. Fan, Choice of the perfectly matched layer boundary condition for frequency-domain Maxwells equations solvers. J. Comput. Phys. 231, 3406–3431 (2012)
S. Boyd, L. Vandenberghe, Convex Optimization (Cambridge University Press, Cambridge, 2004)
M. Grant, S. Boyd, CVX: Matlab software for disciplined convex programming, version 1.21 (2011). http://cvxr.com/cvx
O.D. Miller, Photonic Design: From Fundamental Solar Cell Physics to Computational Inverse Design (U. C. Berkeley, Berkeley, 2012)
J. Lu, J. Vuckovic, Inverse design of nanophotonic structures using complementary convex optimization. Opt. Express 18, 3793–3804 (2011)
S. Boyd, N. Parikh, E. Chu, B. Peleato, J. Eckstein, Distributed optimization and statistical learning via the alternating direction method of multipliers. Found. Trends Mach. Learn. 3, 1–1122 (2011)
J.B. Pendry, Negative refraction makes a perfect lens. Phys. Rev. Lett. 85, 3966–3969 (2000)
M.P. Bendsoe, O. Sigmund, Material interpolation schemes in topology optimization. Arch. Appl. Mech. 69, 635–654 (1999)
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2013 Springer Science+Business Media Dordrecht
About this chapter
Cite this chapter
Lu, J., Vuckovic, J. (2013). Objective-First Nanophotonic Design. In: Diest, K. (eds) Numerical Methods for Metamaterial Design. Topics in Applied Physics, vol 127. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-6664-8_6
Download citation
DOI: https://doi.org/10.1007/978-94-007-6664-8_6
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-007-6663-1
Online ISBN: 978-94-007-6664-8
eBook Packages: Physics and AstronomyPhysics and Astronomy (R0)