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THEORETISCHE ELEKTROTECHNIK Field Coupling into the A380 Aircraft Introduction The field equivalence principle Special consideration for slots Demonstration by means of a small example Numerical model of the A380 aircraft with back doors Fully discretized model, EFIE problem Coupling-in results based on the application of equivalent currents of magnetic type Conclusion Dietmar Leugner, H.-D. Brüns [email protected] [email protected]

THEORETISCHE ELEKTROTECHNIK Field Coupling into the A380 Aircraft Introduction The field equivalence principle Special consideration for slots Demonstration

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Page 1: THEORETISCHE ELEKTROTECHNIK Field Coupling into the A380 Aircraft Introduction The field equivalence principle Special consideration for slots Demonstration

THEORETISCHE ELEKTROTECHNIK

Field Coupling into the A380 Aircraft

Introduction

The field equivalence principle

Special consideration for slots

Demonstration by means of a small example

Numerical model of the A380 aircraft with back doors

Fully discretized model, EFIE problem

Coupling-in results based on the application of equivalent currents of magnetic type

Conclusion

Dietmar Leugner, H.-D. Brü[email protected]@tu-harburg.de

Page 2: THEORETISCHE ELEKTROTECHNIK Field Coupling into the A380 Aircraft Introduction The field equivalence principle Special consideration for slots Demonstration

THEORETISCHE ELEKTROTECHNIK

Introduction

Fully discretized MoM model

10219 unkowns

Typical element dimensions from2 cm² to 2500 cm²

Page 3: THEORETISCHE ELEKTROTECHNIK Field Coupling into the A380 Aircraft Introduction The field equivalence principle Special consideration for slots Demonstration

THEORETISCHE ELEKTROTECHNIK

Introduction

Loop antenna, HF range

Numerically critical becauseof very low radiationresistance

Stable solution only withinserted wire grid

Validation: power budget

Page 4: THEORETISCHE ELEKTROTECHNIK Field Coupling into the A380 Aircraft Introduction The field equivalence principle Special consideration for slots Demonstration

THEORETISCHE ELEKTROTECHNIK

Typcal results for the HF range (A380)

Radiation diagram at 30 MHz

Loop antenna input impedance

Page 5: THEORETISCHE ELEKTROTECHNIK Field Coupling into the A380 Aircraft Introduction The field equivalence principle Special consideration for slots Demonstration

THEORETISCHE ELEKTROTECHNIK

Huygens principle in electromagnetics

Page 6: THEORETISCHE ELEKTROTECHNIK Field Coupling into the A380 Aircraft Introduction The field equivalence principle Special consideration for slots Demonstration

THEORETISCHE ELEKTROTECHNIK

Transition slot / conducting part(problem of end charges)

Possible solution:

overlap

and inclusion ofinto the system matrix as impressed current (to be done)

Page 7: THEORETISCHE ELEKTROTECHNIK Field Coupling into the A380 Aircraft Introduction The field equivalence principle Special consideration for slots Demonstration

THEORETISCHE ELEKTROTECHNIK

Illuminated sphere at 300 MHz

Field vectors in log. scaleGeometry

Page 8: THEORETISCHE ELEKTROTECHNIK Field Coupling into the A380 Aircraft Introduction The field equivalence principle Special consideration for slots Demonstration

THEORETISCHE ELEKTROTECHNIK

Coupled-in E field

Page 9: THEORETISCHE ELEKTROTECHNIK Field Coupling into the A380 Aircraft Introduction The field equivalence principle Special consideration for slots Demonstration

THEORETISCHE ELEKTROTECHNIK

Discretization of back door (1)

Door: 0.9m x 1.9mSlot width: 1 cm

Surface currents at 30 MHz

Page 10: THEORETISCHE ELEKTROTECHNIK Field Coupling into the A380 Aircraft Introduction The field equivalence principle Special consideration for slots Demonstration

THEORETISCHE ELEKTROTECHNIK

Discretization of back door (2)

Details of slot discretization

Page 11: THEORETISCHE ELEKTROTECHNIK Field Coupling into the A380 Aircraft Introduction The field equivalence principle Special consideration for slots Demonstration

THEORETISCHE ELEKTROTECHNIK

Failure of classical EFIE (1MHz, 0°)

Closed Model Model with door

Cross section of empty aircraft

Page 12: THEORETISCHE ELEKTROTECHNIK Field Coupling into the A380 Aircraft Introduction The field equivalence principle Special consideration for slots Demonstration

THEORETISCHE ELEKTROTECHNIK

E field at 1 MHz generated by magnetic currents (phase 0°)

Vectors are plotted in log. scale

Cross section of empty aircraft

Page 13: THEORETISCHE ELEKTROTECHNIK Field Coupling into the A380 Aircraft Introduction The field equivalence principle Special consideration for slots Demonstration

THEORETISCHE ELEKTROTECHNIK

E field caused by magnetic slot currents

Maximum magnitude of E in cross section of empty aircraft Aircraft structure completely neglected

1 MHz 30 MHz

Page 14: THEORETISCHE ELEKTROTECHNIK Field Coupling into the A380 Aircraft Introduction The field equivalence principle Special consideration for slots Demonstration

THEORETISCHE ELEKTROTECHNIK

Conclusion

Small slots in large conducting bodies cannot be treated sufficiently by a MoM-EFIE approach

Equivalent currents in slots and apertures acting as excitation sources provide an alternative

Special treatment at the intersecting line of Huygens surfaces and MoM surfaces is necessary

Application of purely magnetic slot currents give a first order solution

The method works only if completely decoupled spaces are considered