Qiang Ren, PhD, is a Blue Sky Full Professor with the School of Electronic and Information Engineering at Beihang University, China. He is a co-author of the Wiley-IEEE Press title Advances in Time-Domain Computational Electromagnetic Methods (Dec 2022). Kaiming Wu is a Lecturer with the College of Photonic and Electronic Engineering, Fujian Normal University, Fuzhou, China. Na Liu, PhD, is an Associate Professor with the School of Electronic Science and Engineering (National Model Microelectronics College), Xiamen University, Xiamen, China. Guoxiong Cai, PhD, is an Associate Professor with the School of Electronic Science and Engineering (National Model Microelectronics College), Xiamen University, Xiamen, China.

• About the Authors xiPreface xiiiAcknowledgments xv1 Introduction 11.1 Overview of Metasurfaces 21.2 Computational Electromagnetic Methods 51.3 Layout of This Book 82 Metasurface Modeling 132.1 Effective Media Modeling Techniques 132.1.1 Asymptotic Analysis of Maxwell's Equations 132.1.2 Electromagnetic Material Properties 152.1.3 Traditional Boundary Conditions 212.2 GSTCs for Metasurfaces 252.2.1 A Bit of History 262.2.2 Derivation of GSTC 272.2.3 Comparison of GSTC and Other Boundary Conditions 342.2.4 Analytic Solutions with GSTC 352.3 Susceptibility Determination Method 402.3.1 Tangential Susceptibilities Determination 402.3.2 Normal Susceptibility Determination 442.3.3 Transformation from Other Electromagnetic Parameters 452.3.4 Examples of Determination 472.4 Conclusion 553 Frequency-Domain Method for Metasurface Using GSTCs 613.1 FDFD Method with GSTCs 623.1.1 Introduction of FDFD Method 623.1.2 Strategies for Integrating GSTCs in FDFD 663.1.3 Simulation Examples 703.2 FEM with GSTCs 773.2.1 Introduction of FEM 773.2.2 Strategies for Integrating GSTCs in FEM 823.2.3 Simulation Examples 853.3 SEM with GSTCs 953.3.1 Introduction of SEM 953.3.2 GSTCs Implementation in SEM 1003.3.3 Simulation Examples 1033.4 IE Method with GSTCs 1083.4.1 Introduction of IE Method 1083.4.2 Strategies for Integrating GSTCs in IE 1143.4.3 Simulation Examples 1223.5 Conclusion 1344 Time-Domain Method for Metasurface Using GSTCs 1414.1 FDTD Method with GSTCs 1424.1.1 Introduction of the FDTD Method 1424.1.2 Dispersive Susceptibility and Parameter Fitting 1604.1.3 Strategies for Integrating GSTC in FDTD 1624.1.4 Simulation Examples 1794.2 DGTD Method with GSTCs 1854.2.1 Introduction of the DGTD Method 1854.2.2 Strategies for Integrating GSTCs in DGTD 1964.2.3 Simulation Examples 2134.3 Conclusion 2185 Conclusions and Remarks 2255.1 Conclusions on the GSTC and Surface Susceptibility Model 2255.2 Conclusions on Numerical Algorithms 2265.3 Future Challenges 2295.3.1 Artificial Intelligence in Susceptibility Retrieval 2295.3.2 Rationality of the Surface Susceptibilities Model 2295.3.3 Calculation Rules of Surface Susceptibilities 2305.3.4 GSTC in the High-Frequency Method 230References 231Index 233

Qiang Ren, PhD, is a Blue Sky Full Professor with the School of Electronic and Information Engineering at Beihang University, China. He is a co-author of the Wiley-IEEE Press title Advances in Time-Domain Computational Electromagnetic Methods (Dec 2022). Kaiming Wu is a Lecturer with the College of Photonic and Electronic Engineering, Fujian Normal University, Fuzhou, China. Na Liu, PhD, is an Associate Professor with the School of Electronic Science and Engineering (National Model Microelectronics College), Xiamen University, Xiamen, China. Guoxiong Cai, PhD, is an Associate Professor with the School of Electronic Science and Engineering (National Model Microelectronics College), Xiamen University, Xiamen, China.

• About the Authors xiPreface xiiiAcknowledgments xv1 Introduction 11.1 Overview of Metasurfaces 21.2 Computational Electromagnetic Methods 51.3 Layout of This Book 82 Metasurface Modeling 132.1 Effective Media Modeling Techniques 132.1.1 Asymptotic Analysis of Maxwell's Equations 132.1.2 Electromagnetic Material Properties 152.1.3 Traditional Boundary Conditions 212.2 GSTCs for Metasurfaces 252.2.1 A Bit of History 262.2.2 Derivation of GSTC 272.2.3 Comparison of GSTC and Other Boundary Conditions 342.2.4 Analytic Solutions with GSTC 352.3 Susceptibility Determination Method 402.3.1 Tangential Susceptibilities Determination 402.3.2 Normal Susceptibility Determination 442.3.3 Transformation from Other Electromagnetic Parameters 452.3.4 Examples of Determination 472.4 Conclusion 553 Frequency-Domain Method for Metasurface Using GSTCs 613.1 FDFD Method with GSTCs 623.1.1 Introduction of FDFD Method 623.1.2 Strategies for Integrating GSTCs in FDFD 663.1.3 Simulation Examples 703.2 FEM with GSTCs 773.2.1 Introduction of FEM 773.2.2 Strategies for Integrating GSTCs in FEM 823.2.3 Simulation Examples 853.3 SEM with GSTCs 953.3.1 Introduction of SEM 953.3.2 GSTCs Implementation in SEM 1003.3.3 Simulation Examples 1033.4 IE Method with GSTCs 1083.4.1 Introduction of IE Method 1083.4.2 Strategies for Integrating GSTCs in IE 1143.4.3 Simulation Examples 1223.5 Conclusion 1344 Time-Domain Method for Metasurface Using GSTCs 1414.1 FDTD Method with GSTCs 1424.1.1 Introduction of the FDTD Method 1424.1.2 Dispersive Susceptibility and Parameter Fitting 1604.1.3 Strategies for Integrating GSTC in FDTD 1624.1.4 Simulation Examples 1794.2 DGTD Method with GSTCs 1854.2.1 Introduction of the DGTD Method 1854.2.2 Strategies for Integrating GSTCs in DGTD 1964.2.3 Simulation Examples 2134.3 Conclusion 2185 Conclusions and Remarks 2255.1 Conclusions on the GSTC and Surface Susceptibility Model 2255.2 Conclusions on Numerical Algorithms 2265.3 Future Challenges 2295.3.1 Artificial Intelligence in Susceptibility Retrieval 2295.3.2 Rationality of the Surface Susceptibilities Model 2295.3.3 Calculation Rules of Surface Susceptibilities 2305.3.4 GSTC in the High-Frequency Method 230References 231Index 233

Qiang Ren, PhD, is a Blue Sky Full Professor with the School of Electronic and Information Engineering at Beihang University, China. He is a co-author of the Wiley-IEEE Press title Advances in Time-Domain Computational Electromagnetic Methods (Dec 2022). Kaiming Wu is a Lecturer with the College of Photonic and Electronic Engineering, Fujian Normal University, Fuzhou, China. Na Liu, PhD, is an Associate Professor with the School of Electronic Science and Engineering (National Model Microelectronics College), Xiamen University, Xiamen, China. Guoxiong Cai, PhD, is an Associate Professor with the School of Electronic Science and Engineering (National Model Microelectronics College), Xiamen University, Xiamen, China.

• About the Authors xiPreface xiiiAcknowledgments xv1 Introduction 11.1 Overview of Metasurfaces 21.2 Computational Electromagnetic Methods 51.3 Layout of This Book 82 Metasurface Modeling 132.1 Effective Media Modeling Techniques 132.1.1 Asymptotic Analysis of Maxwell's Equations 132.1.2 Electromagnetic Material Properties 152.1.3 Traditional Boundary Conditions 212.2 GSTCs for Metasurfaces 252.2.1 A Bit of History 262.2.2 Derivation of GSTC 272.2.3 Comparison of GSTC and Other Boundary Conditions 342.2.4 Analytic Solutions with GSTC 352.3 Susceptibility Determination Method 402.3.1 Tangential Susceptibilities Determination 402.3.2 Normal Susceptibility Determination 442.3.3 Transformation from Other Electromagnetic Parameters 452.3.4 Examples of Determination 472.4 Conclusion 553 Frequency-Domain Method for Metasurface Using GSTCs 613.1 FDFD Method with GSTCs 623.1.1 Introduction of FDFD Method 623.1.2 Strategies for Integrating GSTCs in FDFD 663.1.3 Simulation Examples 703.2 FEM with GSTCs 773.2.1 Introduction of FEM 773.2.2 Strategies for Integrating GSTCs in FEM 823.2.3 Simulation Examples 853.3 SEM with GSTCs 953.3.1 Introduction of SEM 953.3.2 GSTCs Implementation in SEM 1003.3.3 Simulation Examples 1033.4 IE Method with GSTCs 1083.4.1 Introduction of IE Method 1083.4.2 Strategies for Integrating GSTCs in IE 1143.4.3 Simulation Examples 1223.5 Conclusion 1344 Time-Domain Method for Metasurface Using GSTCs 1414.1 FDTD Method with GSTCs 1424.1.1 Introduction of the FDTD Method 1424.1.2 Dispersive Susceptibility and Parameter Fitting 1604.1.3 Strategies for Integrating GSTC in FDTD 1624.1.4 Simulation Examples 1794.2 DGTD Method with GSTCs 1854.2.1 Introduction of the DGTD Method 1854.2.2 Strategies for Integrating GSTCs in DGTD 1964.2.3 Simulation Examples 2134.3 Conclusion 2185 Conclusions and Remarks 2255.1 Conclusions on the GSTC and Surface Susceptibility Model 2255.2 Conclusions on Numerical Algorithms 2265.3 Future Challenges 2295.3.1 Artificial Intelligence in Susceptibility Retrieval 2295.3.2 Rationality of the Surface Susceptibilities Model 2295.3.3 Calculation Rules of Surface Susceptibilities 2305.3.4 GSTC in the High-Frequency Method 230References 231Index 233