MMIC Coplanar Waveguide Simulation for Thin Substrate Resonance

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Solution Overview

Problem

Existing MMIC designs using coplanar waveguides on thin substrates like diamond face challenges due to limited space for connections between local and signal ground planes, leading to unwanted resonances and electromagnetic coupling effects that degrade performance, as current simulation methods fail to accurately model the impact of backside metallization.

Innovation Solution

A method for simulating coplanar waveguide sections in MMICs by mathematically modeling local ground planes with connectable ports, allowing for accurate representation of currents and accounting for the backside ground plane effects through subdividing the circuit, forming extended ports, and performing electromagnetic simulations to capture the substrate's impact on circuit performance.

Engineering Contradictions & Design Principles

VSEngineering Contradiction Analysis

1Temperature

If thin substrates (100 um diamond) are used to reduce size and improve thermal performance, then thermal conductivity and size are improved, but unwanted resonances and electromagnetic coupling effects increase due to limited space for ground plane connections

Engineering Contradiction:
Improvethermal conductivityVSAvoidunwanted resonances and electromagnetic coupling effects
Core Design Contradiction:
TemperatureVSObject-affected harmful factors

Solution Approach 1:

The patent introduces an intermediate modeling layer that represents the backside ground plane's electromagnetic influence on the front-side CPW structure. This intermediary model captures the harmful coupling effects without requiring physical modification of the thin substrate, allowing designers to account for resonances and electromagnetic coupling in simulations while maintaining the thermal and size benefits of thin substrates.

Inventive Principle:
Principle #24Intermediary (Mediator)

Solution Approach 2:

The patent creates a simplified copy or representation of the backside ground plane's electromagnetic effects through an equivalent circuit model. This copy allows the harmful effects to be studied and mitigated in simulation without altering the physical thin substrate structure, preserving both thermal performance and size advantages while enabling correction of electromagnetic issues.

Inventive Principle:
Principle #26Copying

2Device complexity

If conventional simulation methods are used, then simulation simplicity is maintained, but accuracy of modeling backside metallization effects is insufficient

Engineering Contradiction:
Improvesimulation model complexityVSAvoidaccuracy of backside metallization modeling
Core Design Contradiction:
Device complexityVSMeasurement precision

Solution Approach 1:

The patent segments the MMIC structure into distinct modeling zones: the front-side CPW region, the thin substrate region, and the backside ground plane region. Each zone is represented with appropriate modeling techniques, with the substrate region using an equivalent circuit model that captures electromagnetic coupling without requiring full-wave simulation of the entire structure, thus balancing accuracy and complexity.

Inventive Principle:
Principle #1Segmentation

Solution Approach 2:

The patent transforms the three-dimensional electromagnetic problem into a two-dimensional equivalent circuit problem by changing the modeling parameters. Instead of simulating the full 3D electromagnetic fields through the thin substrate, the invention uses equivalent circuit parameters (inductances, capacitances, resistances) that represent the substrate's electromagnetic effects, significantly reducing simulation complexity while maintaining accuracy.

Inventive Principle:
Principle #35Parameter changes

3Object-affected harmful factors

If CPW transmission line dimensions are restricted to less than 1/3 of substrate height, then impact of backside ground metallization is moderated, but line widths become too narrow and add significant loss

Engineering Contradiction:
Improveimpact of backside ground metallizationVSAvoidCPW transmission line loss
Core Design Contradiction:
Object-affected harmful factorsVSLoss of energy

Solution Approach 1:

The patent applies preliminary action by incorporating the backside ground plane's electromagnetic effects into the simulation model before finalizing CPW transmission line dimensions. This allows designers to optimize line widths and gaps for minimal loss while accounting for substrate coupling effects in advance, rather than being forced to use overly conservative dimension restrictions that increase loss.

Inventive Principle:
Principle #10Preliminary action

Solution Approach 2:

The patent implements feedback by using simulation results that include backside ground plane effects to iteratively optimize CPW transmission line dimensions. The equivalent circuit model provides feedback on how different line geometries interact with the substrate, allowing designers to find optimal dimensions that minimize both electromagnetic coupling and conductor losses.

Inventive Principle:
Principle #23Feedback

Applied Scientific Principles

This section explains which scientific principles are used to turn an abstract innovation direction into a practical engineering solution.

Function Achieved in This Case

This approach enhances the accuracy of MMIC design simulations by properly modeling the backside metallization effects, reducing unwanted resonances and improving the electrical performance of MMICs on thin substrates by ensuring accurate current representation and propagation modes.

Implementation Method 1

a plurality of coplanar waveguide transmission line sections disposed on the top surface of the substrate for electrically interconnecting the active and passive electrical elements

Methodology Applied
Scientific EffectElectromagnetic wave propagation: Electromagnetic Induction

Implementation Method 2

the backside of the MMIC substrates provided with a metal, such as thick electro-plated gold, to enable a thermal conductive bond between the metal and an underlying heat sink structure

Methodology Applied
Scientific EffectThermal conduction: Conduction (thermal)

Implementation Method 3

The local ground planes (i.e., the CPW ground planes) are electrically connected to the backside signal ground

Methodology Applied
Scientific EffectElectrical conduction: Conduction (electrical)

Implementation Method 4

the local ground on the substrate front-side and the signal ground plane on the backside of the chip form an electrical network that supports parallel plate mode propagation. The parallel plate mode generates unwanted resonances and other deleterious electromagnetic coupling effects

Methodology Applied
Scientific EffectElectromagnetic resonance: Resonance

Data Source

PatentUS8867226B2Monolithic microwave integrated circuits (MMICs) having conductor-backed coplanar waveguides and method of designing such MMICs
Publication Date: 2014.10.21 RAYTHEON CO
  • US8867226B2 patent drawing
  • US8867226B2 patent drawing
  • US8867226B2 patent drawing

AI summary

A MMIC having: a substrate; a plurality of active and passive electrical elements disposed on a top surface of the substrate; a plurality of coplanar waveguide transmission line sections disposed on the top surface of the substrate for electrically interconnecting the active and passive electrical elements; an electrical conductor disposed on a bottom surface of the substrate under the coplanar waveguide section. Edges of ground plane conductors of the coplanar waveguide (CPW) sections have slots therein in regions thereof connected to the active and passive devices. The design of such circuit includes mathematical models of the CPW with the pair of local ground planes and the strip conductor thereof have relatively narrow connectable ports.