Module 1 Introduction

Transcription

1 Pioneering 21 st Century Electromagnetics and Photonics Module 1 Introduction Course Website: EM Lab Website: Outline Module 1 Introduction What is a spatially-variant lattice? Why is it good? Module 2 Spatially-Variant Planar Gratings Module 3 Spatially-Variant Lattices Module 4 MATLAB to CAD 4/7/2016 SVL -- Module 1 Slide 2 1

2 Spatially-Variant Lattices Classes of Periodic Structures Size << Flat Volumetric Metasurfaces Metamaterials Frequency Selective Surfaces Photonic Crystals Size ~ 2

3 Electromagnetic fields and waves cannot be controlled using homogeneous materials. There must exist some kind of inhomogeneity. If we use metamaterials, metasurfaces, and photonic crystals as artificial materials, why are so many lattices macroscopically homogeneous? Because it is not well known how to make them inhomogeneous without destroying their properties. Imagine what we are missing! Spatially Variant Lattices Raymond C. Rumpf "Engineering the Dispersion and Anisotropy of Periodic Electromagnetic Structures," Solid State Physics, Vol. 66, pp , /7/2016 SVL -- Module 1 Slide 6 3

4 Spatially Variant Lattices Raymond C. Rumpf "Engineering the Dispersion and Anisotropy of Periodic Electromagnetic Structures," Solid State Physics, Vol. 66, pp , /7/2016 SVL -- Module 1 Slide 7 Spatially Variant Lattices Raymond C. Rumpf "Engineering the Dispersion and Anisotropy of Periodic Electromagnetic Structures," Solid State Physics, Vol. 66, pp , /7/2016 SVL -- Module 1 Slide 8 4

5 What Can Be Spatially Varied? 4/7/2016 SVL -- Module 1 Slide 9 What Can Be Spatially Varied? 4/7/2016 SVL -- Module 1 Slide 10 5

6 4/7/2016 What Can Be Spatially Varied? 4/7/2016 SVL -- Module 1 Slide 11 What Can Be Spatially Varied? 4/7/2016 SVL -- Module 1 Slide 12 6

7 4/7/2016 What Can Be Spatially Varied? 4/7/2016 SVL -- Module 1 Slide 13 Arrays on Curved Surfaces top view perspective view Periodic structures can be placed onto curved surfaces without deforming the elements or their spacing. R. C. Rumpf, et al "Spatially-Variant Periodic Structures in Electromagnetics," Phil. Trans. R. Soc. A 373, , July /7/2016 SVL -- Module 1 Slide 14 7

8 Arrays of Discontinuous Metallic Elements + = R. C. Rumpf, et al "Spatially-Variant Periodic Structures in Electromagnetics," Phil. Trans. R. Soc. A 373, , July /7/2016 SVL -- Module 1 Slide 15 Achievements Using Spatially- Variant Structures 8

9 Polarization Control Using Spatially- Variant Form Birefringence A. Mehta, J. D. Brown, P. Srinivasan, R. C. Rumpf, E. G. Johnson, Spatially polarizing autocloned elements, Opt. Lett. 32, (2007). 4/7/2016 SVL -- Module 1 Slide 17 Compensation for Surface Curvature R. C. Rumpf, M. Gates, C. L. Kozikowski, W. A. Davis, "Guided-Mode Resonance Filter Compensated to Operate on a Curved Surface," PIER C, Vol. 40, pp , /7/2016 SVL -- Module 1 Slide 18 9

10 Spatially-Variant Self- Collimation Manufactured by 3D printing Operated at 15 GHz unit cell orientation (degrees) ~20 db R. C. Rumpf, J. Pazos, C. R. Garcia, L. Ochoa, and R. Wicker, "3D Printed Lattices with Spatially Variant Self-Collimation," PIER, Vol. 139, pp. 1-14, /7/2016 SVL -- Module 1 Slide 19 World s Tightest Unguided Bend 30 m Bend radius was Low refractive index (SU-8, n 1.59). Operated at 0 = 2.94 m. Recently demonstrated 0 = 1.55 m J. L. Digaum, J. J. Pazos, J. Chiles, J. D'Archangel, G. Padilla, A. Tatulian, R. C. Rumpf, S. Fathpour, G. D. Boreman, and S. M. Kuebler, "Tight Control of Light Beams in Photonic Crystals with Spatially-Variant Lattice Orientation," Optics Express, Vol. 22, Issue 21, pp ,

11 Zero Mode Coupling in MM Waveguides with Sharp Bends First-Order Mode Second-Order Mode Third-Order Mode R. C. Rumpf, et al, Spatially-variant periodic structures in electromagnetics, accepted for publication in Phil. Trans. A, Dec /7/2016 SVL -- Module 1 Slide 21 Optical High-Speed Interconnects Circuit Board BGA w VCSELs Sharp Waveguide Bends SVPC Jumper SVPC Funnel 11

12 Microstrip Made Immune to Metal Object in Close Proximity Patent Pending R. C. Rumpf, C. R. Garcia, H. H. Tsang, J. E. Padilla, M. D. Irwin, "Electromagnetic Isolation of a Microstrip by Embedding in a Spatially Variant Anisotropic Metamaterial," PIER, Vol. 142, pp , /7/2016 SVL -- Module 1 Slide 23 Two Antennas Decoupled in 3D Printed Mobile Phone Patent Pending 4/7/2016 SVL -- Module 1 Slide 24 12

13 Combining Spatial Transforms with Synthesis Tool (1 of 2) Step 1 of 4: Define Spatial Transform C R. C. Rumpf, et al, Spatially-variant periodic structures in electromagnetics, accepted for publication in Phil. Trans. A, Dec /7/2016 SVL -- Module 1 Slide 25 13