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( Γ E 50

50

E (2D)

E (3D)

F

F

40

HH

40

1

h1

30

30

HH2

20

20

HH3

10

10

0

40

80

120

160

200

240

280

T (K)

Fig. 17. Temperature dependence of the energy for the three-dimensional (3D) and two-

dimensional (2D) Fermi levels in the investigated HgTe/CdTe superlattice

E

λ

E

p (cm-2)

µ

g (meV)

c (µm)

F(meV)

p (cm2/Vs)

Theory 4.2 K

Theory 4.2 K

Exper. 4.2 K

Hall ef. 4.2K Hall ef. 4.2K

SL1

111

11 (MIR)

14 (2D)

1.84x1012 8200

(p-type)

SL2

3.6

464 (FIR)

32 (3D)

4.51x1013 900

(p-type)

38 (2D)

Table 1. Electronic transport parameters in the investigated two HgTe/CdTe superlattices

302

Optoelectronic Devices and Properties

7. Conclusions

The fundamental main ideas of this work are:

-

HgTe is a zero gap semiconductor (or semimetal) when it is sandwiched between the

wide gap semiconductor CdTe (1.6 eV at 4.2 K) layers yield to a narrow gap

HgTe/CdTe superlattice which is the key of an infrared detector.

-

Before growing our two superlattices, we calculated the bands structures E(d2) and the

gap for each ratio thickness d1/d2. After we choose the SL1 in the semiconductor

conductivity zone and the SL2 at the transition semiconductor-semimetal

We reported here remarkable correlations between calculated bands structures and magneto-

transport properties in two HgTe/CdTe nanostructures superlattices SLi (i=1 and 2). Our

calculations of the specters of energy E(d2), E(kz) and E(kp), respectively, in the direction of

growth and in plane of the superlattice; were performed in the envelope function formalism.

In the SL1, the formalism predicts that the system is semiconductor, for our HgTe to CdTe

thickness ratio d1/d2 = 1.87, when d2 < 14 nm. In our case, d2=3 nm and Eg (Γ, 4.2 K) = 111

meV. In spite of it, the sample exhibits the features typical for the semiconductor type p

conduction mechanism. In the used temperature range, this simple is a medium-infrared

detector, narrow gap and two-dimensional p-type semiconductor.

In the SL2, the formalism predicts that the system is semimetallic, for our HgTe to CdTe

thickness ratio d1/d2 =4.1 for d2 ≥ 3 nm. In our case d2 = 4.4 nm and the gap Eg(Γ,4.2 K) =3

meV corresponding to thermal energy necessary to change the sign of RH(T). In intrinsic

regime, the measurements indicates Eg ≈38 meV in good agreement with calculated Eg (Γ,

300 K) =34 meV = EF (4.2 K)=EI. In spite of it, the sample exhibits the features typical for the

semimetallic conduction mechanism, which agree well with the overlap between carrier

subbands along E(kp) with a quasi-two-dimensional behavior and is a far-infrared detector.

Our HgTe/CdTe superlattices SL1 and SL2 are a stable alternative for application in

infrared optoelectronic devices than the alloys Hg0.8Cd0.2Te and Hg0.66Cd0.34Te respectively.

The theoretical and magnetotransport parameters are in good agreement. Measurements

performed by us on others’ samples indicate an improvement of quality of the material

manifested by higher mobility.

8. Acknowledgements

This work is supported by research budget of University Ibn Zohr in Agadir. We thank Li

Rukang from the School of Chemistry, University of Birmingham, for verifying our X-ray

diffraction Rietveld refinements.

9. References

Arch, D. K.; Faurie, J. P.; Staudenmann, J.L.; Hibbs-Brenner, M. & Chow, P. (1986).

Interdiffusion in HgTe–CdTe superlattices. J. Vac. Sci. Technol. A, Vol, 4, (1986)

(2101-2106), DOI: 10.1116/1.574035.

Bastard, G. (1981). Superlattice band structure in the envelope-function approximation. Phys.

Rev. B, Vol,24, (November15, 1981) (5693–5697), DOI: 10.1103/PhysRevB.24.5693.

Bastard, G. (1982). Theoretical investigations of superlattice band structure in the envelope-

function approximation. Phys. Rev. B, Vol, 25, (June 15, 1982) (7584–7597), DOI:

10.1103/PhysRevB.24.5693.

Band Structure and Magneto- Transport Properties in II-VI Nanostructures

Semiconductors. Application to Infrared Detector Superlattices

303

Cava, R. J. Science 247, pp. 656-662 (1990).

Dingle, R.; Gossard, A. C.; & Wiegmann, W. (1975). Direct Observation of Superlattice

Formation in a Semiconductor Heterostructure. Phys. Rev. Lett., Vol, 34, (May 26,

1975) (1327–1330), DOI:10.1103/PhysRevLett.34.1327.

El Abidi, A.; Nafidi, A.; Chaib, H.; El Kaaouachi, A.; Braigue, M.; Morghi, R.; EL Yakoubi,

E.Y. & M. d’Astuto, (2010). Application of the transition semiconductor semimetal

in modulated nanostructures for communication as infrared optoelectronic device.

Physica B: Physics of Condensed Matter , Vol, 405, (1 February 2010) (936-940),

DOI:10.1016/j.physb.2009.10.019 .

Esaki, L. & Tsu, R. (1970). Superlattice and negative differential conductivity in

Semiconductors. IBM J. Res. Development, Vol., 14, (Jan. 1970) (61-65), ISSN: 0018-8646.

Guldner, Y.; Bastard, G.; Vieren, J.P.; Voos, M.; Faurie, J.P. & Million, A. (1984). Magneto-

optics in a II–VI superlattice: HgTe-CdTe. Surface Science, Vol., 142, (1 July 1984)

(593-597), DOI:10.1016/0039-6028(84)90367-4

Hansen, G. L.; Schmit, J. L. & Casselman, T. N., (1982).Energy gap versus alloy composition

and temperature in Hg1-xCdxTe. J. Appl. Phys, Vol., 53, (10 June 1982) (7099-7101),

DOI:10.1063/1.330018.

Johnson, N. F.; Hui, P. M. & Ehrenreich, H. (1988). Valence-Band-Offset Controversy in

HgTe/CdTe Superlattices: A Possible Resolution. Phys. Rev. Lett. , Vol, 61, (24

October 1988) (1993–1995), DOI: 10.1103/PhysRevLett.61.1993

Kane, E. (1957). Band structure of indium antimonide. Journal of Physics and Chemistry of

Solids, Vol. 1, Issue 4,( January 1957) (249-261). DOI: 10.1016/0022-3697(57)90013-6

Kittel, C. (2001). Introduction to solid stat physics, 3d edition, John Wiley and Sons, Inc, New

York, 333.

Nafidi, Ab.; El Kaaouachi, A.; Sahsah, H.; Nafidi, Ah. (2002). Band structure and magneto-

transport in HgTe/CdTe superlattice. Book of the International Conference on

Theoretical Physics (HT 2002), pp. 274-275, ISBN 3-7643-2433-3, , 22-27 July, Paris,

France Birkhäuser Verlag, Germany.

Nafidi, A.; El Kaaouachi, A.; Nafidi, Ah.; Faurie, J.P.; Million, A.; Piaguet, J. (2002). Some

Transport Properties of HgTe/CdTe Superlattices. Physica status solidi (b), Vol. 229,

(January 2002) (573-576), DOI: 10.1002/1521.

Nafidi, Ab.; EL Abidi, A.; El Kaaouachi, A.; & Nafidi, Ah. (2004). Electronic Band Structure

and New Magneto-transport Properties in p-type Semiconductor Medium-infrared

HgTe / CdTe Superlattice. 27th International Conference on the Physics of

Semiconductors - ICPS-27, AIP Conference Proceedings, Vol. 772, pp. 1001-1002,

DOI:10.1063/1.1994448, July 26-30, 2004, in Flagstaff, Arizona, USA.

Nafidi, A.; El Abidi, A. & El Kaaouachi, A. (2006). Seebeck and Shubnikov-de Haas Effects in

a Two-Dimensional p-type HgTe/CdTe Superlattice. 24th International Conference on

Low Temperature Physics - LT24 , AIP Conference Proceedings Vol. 850,pp. 1359-1360,

ISBN: 0735403473, 10 - 17 Aug 2005, Orlando, FL, USA.

Nafidi A., Bouallal A., El Kaaouachi B., A. and Chaib, H., IEEE Transactions on Applied

Superconductivity. Vol 17 , NO 02, pp 2969-2972, (2007).

Nafidi A., Bouallal B., El Kaaouachi A., Chaib H. and Sahsah H., Advance in Cryogenic

Engineering, Transactions of the International Cryogenic Materials conference-ICMC,

American Institute of Physics, AIP CP986, Vol.54, pp.551-558, (2008).

Nafidi, A., et al, (2011) to be published

304

Optoelectronic Devices and Properties

Sakaki, H.; Chang, L. L.; Sai-Halasz, G. A.; Chang, C. A. & Esaki, L. (1978). Two-dimensional

electronic structure in InAs-GaSb superlattices. Solid State Communications, Vol. 26,

(June 1978) (589-592), DOI:10.1016/0038-1098(78)90770-6

Seeger, K. a (2002). Semiconductor physics: an introduction, Springer, ISBN: 9783540438137,

Edition Number: 8, chap.4, p.121.

Seeger, K. b (2002). Semiconductor physics: an introduction, Springer, ISBN: 9783540438137,

Edition Number: 8, chap.6, p.159.

Tokura, Y. Takagi, H and Uchida, S. Nature 337, pp. 345-347 (1989).

Tuchendler, J.; Grynberg, M.; Couder, Y.; Thomé, H. & Le Toullec R. (1973). Submillimeter

Cyclotron Resonance and Related Phenomena in HgTe. Phys. Rev. B, Vol., 8, (15

October 1973) (3884–3894), DOI: 10.1103/PhysRevB.8.3884.

Weiler, M. H. (1981). Magnetooptical Properties of Hg1-xCdxTe Alloys, In: semiconductors

and Semimetals, Vol., 16, Willardson, R. K. & Beer, A. C. (Ed), (119-191) (Academic,

New York), ISBN: 9780127521169

Part 3

Optoelectronic Measurements in Spatial Domain

15

3D Body & Medical Scanners’ Technologies:

Methodology and Spatial Discriminations

Julio C. Rodríguez-Quiñonez1, Oleg Sergiyenko1, Vera Tyrsa2,

Luís C. Básaca-Preciado1, Moisés Rivas-Lopez1,

Daniel Hernández-Balbuena1 and Mario Peña-Cabrera3

1Autonomous University of Baja California, Mexicali-Ensenada,

2Polytechnic University of Baja California, Mexicali,

3Research Institute of Applied Mathematics and Systems (IIMAS – UNAM)

Mexico

1. Introduction

Medical practitioners have traditionally measured the body’s size and shape by hand to

assess health status and guide treatment. Now, 3D body-surface scanners are transforming

the ability to accurately measure a person’s body size, shape, and skin-surface area

(Treleaven & Wells, 2007) (Boehnen & Flynn, 2005). In recent years, technological advances

have enabled diagnostic studies to expose more detailed information about the body’s

internal constitution. MRI, CT, ultrasound and X-rays have revolutionized the capability to

study physiology and anatomy in vivo and to assist in the diagnosis and monitoring of a

multitude of disease states. External measurements of the body are more than necessary.

Medical professionals commonly use size and shape to production of prostheses, assess

nutritional condition, developmental normality, to analyze the requirements of drug,

radiotherapy, and chemotherapy dosages. With the capability to visualize significant

structures in great detail, 3D image methods are a valuable resource for the analysis and

surgical treatment of many pathologies.

Taxonomy of Healthcare 3D Scanning applications

Application

Epidemiology Diagnosis

Treatment

Monitoring

Anthropometric Growth

Fitness and

Size

Scoliosis

surveys

defects

diet

Abdominal

Shape

Screening

Prosthetics

Obesity

shape

Surface area

Lung volume Drug dosage

Diabetes

Volume

Eczema

Burns

Head Visualization

Melanomas Eating

disorders

Chest Visualization

Facial reconstruction

Hole Body Visualization

Cosmetic surgery

Table 1. Taxonomy of Healthcare 3D Scanning applications

index-322_1.png

308

Optoelectronic Devices and Properties

1.1 Scanning technologies

Three-dimensional body scanners employ several technologies including 2D video

silhouette images white light phase measurement, laser-based scanning, and radio-wave

linear arrays. Researchers typically developed 3D scanners for measurement (geometry) or

visualization (texture), using photogrammetry, lasers, or millimeter wave (Treleaven &

Wells, 2007).

Taxonomy of 3D Body Scanners

Technique

Measurement

Visualization

Millimeter Wave

Radio Waves

Structured light

Close-range photogrammetry

Photogrammetry

Moire fringe contouring

Digital surface

Phase – measuring profilometry photogrammetry

Laser Scanners

Laser

Laser range Scanners

Table 2. Taxonomy of 3D Body Scanners

In the following section it will be described the diverse measurement techniques (see table 2)

used in medical and body scanners. Listing applications, scanners types and common

application areas, as well of how they operate.

2. Millimeter wave

Millimeter wave based scanners, send a safe, lower radio wave toward a person’s fully

clothed body; most of the systems irradiate the body with extremely low-powered

millimeter waves a class of non-ionizing radiation (see Figure 1) not harmful to humans.

The amount of radiation emitted in the millimeter-wave range is 108 times smaller than the

amount emitted in the infrared range. However, current millimeter-wave receivers have at

least 105 times better noise performance than infrared detectors and the temperature

contrast recovers the remaining 103. This makes millimeter-wave imagine comparable in

performance with current infrared systems.

Fig. 1. Electromagnetic spectrum showing the different spectral bands between the

microwaves and the X-rays

Millimeter (MMW) and Submillimeter (SMW) waves fill the gap between the IR and the

microwaves (see Figure 1). Specifically, millimeter waves lie in the band of 30-300 GHz (10-1

mm) and the SMW regime lies in the range of 0.3-3 THz (1-0.1 mm). MMW and SMW

radiation can penetrate through many commonly used nonpolar dielectric materials such as

index-323_1.png

index-323_2.png

index-323_3.png

3D Body & Medical Scanners’ Technologies: Methodology and Spatial Discriminations

309

paper, plastics, wood, leather, hair and even dry walls with little attenuation (Howald et al.,

2007) (Liu et al., 2007). Clothing is highly transparent to the MMW radiation and partially

transparent to the SMW radiation (Bjarnason et al., 2004). Consequently, natural

applications of MMW and SMW imaging include security screening, nondestructive

inspection, and medical and biometrics imaging. Low visibility navigation is another

application of MMW imaging

Is also true that MMW and SMW open the possibility to locate threats on the body and

analyze their shape, which is far beyond the reach of conventional metal detection portals. A

recently demonstrated proof-of-concept sensor developed by QinetiQ provides video-frame

sequences with near-CIF resolution (320 x 240 pixels) and can image through clothing,

plastics and fabrics. The combination of image data and through-clothes imaging offers

potential for automatic covert detection of weapons concealed on human bodies via image

processing techniques (Haworth et al., 2006). Other potential areas of application are

mentioned below.

Medical: provide measurements of individuals who are not mobile and may be difficult to

measure for prosthetic devices.

Ergonomic: provide measurements and images for manufacturing better office chairs, form-

fitting car and aviation seats, cockpits, and custom sports equipment.

Fitness: provide personal measurements and weight scale for health and fitness monitoring.

2.1 3D Body millimeter wave scanner: Intellifit system

The vertical wand in the Intellifit system (see Figure 2) contains 196 small antennas that

send and receive low-power radio waves. In the 10 seconds it takes for the wand to rotate

around a clothed person, the radio waves send and receive low-power signals. The signals

don’t “see” the person’s clothing, but reflect off the skin, which is basically water (Treleaven

& Wells, 2007). The technology used with the Intellifit System is safer than using a cell

phone. The millimeter waves are a form of non-ionizing radiation, which are similar to cell

phone signals but less than 1/350th of the power of those signals, and they do not penetrate

the skin. When the wand's rotation is complete, Intellifit has recorded over 200,000 points in

space, basically x, y, and z coordinates. Intellifit software then electronically measures the

"point-cloud", producing a file of dozens of body measurements; the raw data is then

discarded.

Fig. 2. Intellifit System, cloth industry application and point cloud representation of the

system

index-324_1.png

310

Optoelectronic Devices and Properties

Although the system is functional to obtain a silhouette of the body, object detection as a

security system and as a tool in the cloth design industry, the problem of this system is the

inaccurate measurements that are closed to 1cm, which makes the system not appropriate

for medical applications.

3. Photogrammetry

Photogrammetry is the process of obtaining quantitative three-dimensional information

about the geometry of an object or surface through the use of photographs (Leifer, 2003).

Photogrammetric theories have on a long history of developments for over a century.

Intensive research has been conducted for the last 20 years for the automation of

information extraction from digital images, based on image analysis methods (Emmanuel,

1999). In order for a successful three-dimensional measurement to be made, targeting points,

each of which is visible in two or more photographs, are required. These targets can be

unique, well-defined features that already exist on the surface of the object, artificial marks

or features attached to the object, or a combination of both types. The accuracy of the

reconstruction is directly linked to the number and location of the targets, as well as number

of photographs and camera positions chosen. Intricate objects generally require more targets

and photographs for a successful reconstruction than do flat or near-flat surfaces. (Leifer,

2003). The latest shift in photogrammetry has been the passage to fully digital technologies.

In particular, low cost digital cameras with high pixel counts (> 6 mega-pixels image

sensors), powerful personal computers and photogrammetric software are driving a lot of

new applications for this technology. (Beraldin, 2004). As shown in Table 2, the

measurement photogrammetry techniques can by refer as show below.

3.1 Structured-light systems

One of the simplest systems consists of a projector that emits a stripe (plane) of light and a

camera placed at an angle with respect to the projector as shown in Figure 3. At each point

Fig. 3. Schematic layout of a single-camera, single-stripe-source triangulation system

in time, the camera obtains 3D positions for points along a 2D contour traced out on the

object by the plane of light. In order to obtain a full range image, it is necessary either to

index-325_1.jpg

index-325_2.jpg

3D Body & Medical Scanners’ Technologies: Methodology and Spatial Discriminations

311

sweep the stripe along the surface (as is done by many commercial single-stripe laser range

scanners) or to project multiple stripes. Although projecting multiple stripes leads to faster

data acquisition, such a system must have some method of determining which stripe is

which (Rusinkiewicz et al., 2002). There are three major ways of doing this: assuming

surface continuity so that adjacent projected stripes are adjacent in the camera image,

differentiating the stripes based on color, and coding the stripes by varying their

illumination over time. The first approach (assuming continuity) allows depth to be

determined from a single frame but fails if the surface contains discontinuities. Using color

allows more complicated surfaces but fails if the surface is textured. Temporal stripe coding

is robust to moderate surface texture but takes several frames to compute depth and,

depending on the design, may fail if the object moves (Rusinkiewicz et al., 2002).

3.1.1 Body and medical 3D structured light scanner: Formetric 3D/4D

The system Formetric 3D/4D is based on structured light projection. The scanning system

consists of four main components: electro-mechanical elevating column for height

adjustment, projector, camera and software. The projection unit emits a white light grid onto

the dorsal surface of the patient standing in a defined way toward the projection device,

which then obtains measuring data on the dorsal profile by means of a video-optic device

from another direction (Hierholzer & Drerup, 1995). Rasterstereography excels by its

precision (methodic error < 0.1 mm) and allows a radiation-free representation of the

profile. For angular data, the reproducibility of an individual rasterstereographic shot is

indicated with 2.8º. The measuring speed of 0.04 seconds can be considered as quick, and

the total dorsal surface is registered simultaneously (Lippold et al., 2007). An automatic

recognition of anatomical structures by means of the connected software provides the basis

for a reconstruction of the three-dimensional profile of the dorsal surface. Figure 4 shows

the Formetric 3D/4D Scann