# Conversion Formulas. ETS-Lindgren 3160

Add to My manuals90 Pages

ETS-Lindgren 3160 is a pyramidal horn antenna. It is designed for radiated emissions measurements, radiated susceptibility measurements, and antenna pattern measurements. The antenna covers a frequency range of 30 MHz to 1 GHz with a gain of 12 dBi to 15 dBi. The antenna has a 3 dB beamwidth of 90 degrees in both the E-plane and H-plane. This makes it ideal for use with EMC test systems. The antenna is also lightweight and easy to handle, making it easy to use in a variety of applications.

advertisement

The losses of the coaxial cable, A c

, should be included in the computations. In this case, the previous equation becomes:

RF Voltage, dB(µV) + Cable Loss, dB +

Antenna Factor, DB(m

-1

) = Field Strength, dB(µV/m)

E a

= V a

+ A c

+ AF

**Conversion Formulas **

Following are some useful conversion formulas, including how the constants are obtained:

**E**

**QUATION **

**1 **

dBm=dB( V)-107

The power is related to the voltage and the system impedance as:

*P*

*V*

2

*R*

In a 50 Ω system, the previous equation becomes:

10 log

10

*P*

20 log

10

*V*

10

10

Converting from dB to dBm for power and from dB(V) to dB(

µ

V) for voltage, the overall constant becomes:

10

107

**44**

Radiated Emissions Measurements www.ets-lindgren.com

**E**

**QUATION **

**2 **

dB(mW /m

2

) = dB( V/m)-115.8

The constant in this equation is obtained by considering the

Poynting vector which relates the power density in (W/m

2

) to the electric field strength in (V/m) by:

P =

E

2

Where

η

is the free space characteristic impedance equal to 120

π

Ω.

Transforming the previous questions to decibels and using the appropriate conversion factors to convert dB(W/m

2

) to dB(mW/m

2

) for power density and dB(V/m) to dB(µV/m) for the electric field, the constant becomes: log ( 120

) .

**E**

**QUATION **

**3 **

dB( V/m) = dB( V) + AF

**E**

**QUATION **

**4 **

V/m = 10

20

**E**

**QUATION **

**5 **

dB ( A/m) = dB( V/m) - 51.5

The magnetic field strength is related to the electric field strength via the characteristic impedance of free space. When the transformation is made to decibels, the constant becomes: www.ets-lindgren.com Radiated Emissions Measurements

**45**

20 log ( 120

) 51 5

**E**

**QUATION **

**6 **

A/m = 10

20

**E**

**QUATION **

**7 **

dB(W/m

2

) = 10 log (V/m

A/m)

**E**

**QUATION **

**8 **

dB(mW/m

2

) = dB(W/m

2

) + 30.0

**E**

**QUATION **

**9 **

dB(pT) = dB( A/m) + 2.0

The magnetic flux density **B** in (T) is related to the magnetic field strength **H** in (A/m) by the permeability of the medium in (H/m). For free space, the permeability is o

= 4

-7

H/m. Converting from (T) to (pT) and from (A/m) to (

µ

µ π

.10

A/m) and taking the log, the constant becomes:

4

10 7

**46**

Radiated Emissions Measurements www.ets-lindgren.com

advertisement

### Key Features

- Frequency range: 30 MHz to 1 GHz
- Gain: 12 dBi to 15 dBi
- 3 dB beamwidth: 90 degrees in both the E-plane and H-plane
- Lightweight and easy to handle
- Rugged construction
- Resistant to corrosion
- Versatile

### Related manuals

### Frequently Answers and Questions

###### What is the frequency range of the ETS-Lindgren 3160?

###### What is the gain of the ETS-Lindgren 3160?

###### What is the 3 dB beamwidth of the ETS-Lindgren 3160?

advertisement

#### Table of contents

- 9 1.0 Introduction
- 11 Tripod Options
- 12 ETS-Lindgren Product Information Bulletin
- 13 2.0 Maintenance
- 13 Annual Calibration
- 14 Service Procedures
- 15 3.0 Specifications
- 15 Electrical Specifications
- 15 Model 3160 Series
- 15 Below 1 GHz
- 16 Model 3160-u
- 19 Physical Specifications
- 19 Model 3160 Series
- 20 Below 1 GHz
- 20 Model 3160-u
- 31 4.0 Mounting Instructions
- 32 3160-09 and 3160-10 Only
- 33 Mount to 4-TR
- 34 Mount to 7-TR and Mast
- 35 Mount to 2x2 Boom
- 37 5.0 Typical Data
- 37 Typical VSWR (3160-06)
- 38 Typical Gain and Antenna Factor (3160-06)
- 39 Calculated Far Field Gain
- 40 Geometry of the Horns
- 40 Calculated Gain
- 42 Typical Half-Power Beamwidth (3160-06)
- 43 6.0 Radiated Emissions Measurements
- 43 Measure Ambient Field Strength Values
- 44 Conversion Formulas
- 44 Equation
- 47 Appendix A: Warranty
- 49 Appendix B: Power Requirements
- 50 Table 1: Model 3160-01 Power Requirements at 1 Meter
- 50 Table 2: Model 3160-01 Power Requirements at 3 and 10 Meters
- 51 Table 3: Model 3160-02 Power Requirements at 1 Meter
- 51 Table 4: Model 3160-02 Power Requirements at 3 and 10 Meters
- 52 Table 5: Model 3160-03 Power Requirements at 1 Meter
- 52 Table 6: Model 3160-03 Power Requirements at 3 and 10 Meters
- 53 Table 7: Model 3160-04 Power Requirements at 1 Meter
- 53 Table 8: Model 3160-04 Power Requirements at 3 and 10 Meters
- 55 Table 9: Model 3160-05 Power Requirements at 1 Meter
- 56 Table 11: Model 3160-06 Power Requirements at 1 Meter
- 57 Table 13: Model 3160-07 Power Requirements at 1 Meter
- 58 Table 15: Model 3160-08 Power Requirements at 1 Meter
- 59 Table 17: Model 3160-09 Power Requirements at 1 Meter
- 60 Table 19: Model 3160-10 Power Requirements at 1 Meter
- 61 Appendix C: Model 3160 Series Data
- 61 Gain / Antenna Factor
- 62 Half-Power Beamwidth
- 63 Antenna Pattern: 3160-01 at 1.2 GHz
- 64 Gain / Antenna Factor
- 65 Half-Power Beamwidth
- 66 Antenna Pattern: 3160-02 at 1.41 GHz
- 67 Gain / Antenna Factor
- 68 Half-Power Beamwidth
- 69 Antenna Pattern: 3160-03 at 2.15 GHz
- 70 Gain / Antenna Factor
- 71 Half-Power Beamwidth
- 72 Antenna Pattern: 3160-04 at 3.3 GHz
- 73 Gain / Antenna Factor
- 74 Half-Power Beamwidth
- 75 Antenna Pattern: 3160-05 at 4.9 GHz
- 76 Gain / Antenna Factor
- 77 Half-Power Beamwidth
- 78 Antenna Pattern: 3160-06 at 7.0 GHz
- 79 Gain / Antenna Factor
- 80 Half-Power Beamwidth
- 81 Antenna Pattern: 3160-07 at 10.3 GHz
- 82 Gain / Antenna Factor
- 83 Half-Power Beamwidth
- 84 Antenna Pattern: 3160-08 at 15.2 GHz
- 85 Gain / Antenna Factor
- 86 Half-Power Beamwidth
- 87 Antenna Pattern: 3160-09 at 22.0 GHz
- 88 Gain / Antenna Factor
- 89 Half-Power Beamwidth
- 90 Antenna Pattern: 3160-10 at 33.0 GHz