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Numerical ElectroMagnetics & Semiconductor Industrial Applications

National Central University Department of Mathematics. Numerical ElectroMagnetics & Semiconductor Industrial Applications. Ke -Ying Su Ph.D. 01. Introduction. I. What are Numerical ElectroMagnetics. Warship. Tank. Automobile. Airplane. Cellphone. RF circuit.

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Numerical ElectroMagnetics & Semiconductor Industrial Applications

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  1. National Central University Department of Mathematics Numerical ElectroMagnetics& Semiconductor Industrial Applications Ke-Ying Su Ph.D. 01. Introduction

  2. I. What are Numerical ElectroMagnetics Warship Tank Automobile Airplane Cellphone RF circuit PS: Figures are from Google search.

  3. This course will focus on the application of integrated circuit (IC) Basic electromagnetic theory 3D libraries of passive RC components Design layout & EM simulation Whole chip RC extraction A transistor model including passive components PS: Figures are from Google search.

  4. II. When to use Numerical ElectroMagnetics Design House Design Rule Check (DRC) AMD, nVidia, Qualcomm, Broadcom, MTK, etc. Spec. Layout vs Schematic (LVS) foundry support Schematic EDA Pre-Layout Simulation Synopsys, Cadence, Mentor, Magma, etc. RC Extraction (RC) Post-Layout Simulation Place & Route Layout No Yes Foundry Tape out TSMC, UMC, etc.

  5. III. Where to use Numerical ElectroMagnetics Design Rule Check (DRC) Design House Passive device models: inductor & capacitor Layout vs Schematic (LVS) Spec. Schematic Pre-Layout Simulation RC Extraction (RC) Post-Layout Simulation Place & Route Interconnect: RCLK extraction No Yes Foundry Tape out Real silicon Related math: optimization, graphic theory, etc. Related math: logic operation, topology, etc.

  6. IV. How to implement Numerical ElectroMagnetics 3D Momentum 3D EMX • integral equation in frequency domain • Galerkin’s procedure • Method of moment • microwave full wave mode • faster RF quasi-static mode QRC RLC extractor 3D Lorentz • Mixed potential integral equation • Partial Element Equivalent Circuit (PEEC) • Partial Element Equivalent Circuit (PEEC) for RLCK extraction 2D & 3D Raphael 3D QuickCap • Boundary element method (BEM) • Finite difference Method (FD) • Laplace’s equation • Floating random walk method

  7. V. Who works with Numerical ElectroMagnetics Foundry TSMC UMC GlobalFoundries Intel, Apple AMD, nVidia, Qualcomm, MTK, etc. Synopsys, Cadence, Mentor, Magma, etc. Design House EDA company

  8. VI. Learn from this course Contents Electromagnetic problems & solutions 40% Mathematical theory & methods 20% Numerical method & coding 20% Semiconductor industrial cases 20% • Theory • (1) Quasi-static-analyses (C extraction) • corss-section profile, Green's function & method of moment • (2) PEEC (RLK extraction) • Partial-Element-Equivalent-Circuit (PEEC) • (3) Full-wave analyses (S-parameter extraction) • Maxwell's equations

  9. VII. Score • Purpose of this course • Concepts for semiconductor industry • Realistic mathematical applications • Inspiration & Innovation Score 1. Midterm homework 50% (a) A report of mathematical derivation and/or programming (b) Reference: papers and source code 2. Research 30% (a) IEEE (EM) topic with math method (b) A presentation & open discussion in the course 3. Innovation 20% (a) Possible new math method for the topic or new topic for the math method (b) A presentation & open discussion in the course

  10. Thank You 

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