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FREQUENCY CHARACTERISTICS: A SOURCE OF INFORMATION IN PHOTOACOUSTICS. Mirosław Maliński Department of Electronics and Computer Studies Technical Univeristy of Koszalin, Poland. Contents. Introduction Multilayer optically opaque systems Optically semitransparent systems
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FREQUENCY CHARACTERISTICS: A SOURCE OF INFORMATION IN PHOTOACOUSTICS Mirosław Maliński Department of Electronics and Computer Studies Technical Univeristy of Koszalin, Poland
Contents • Introduction • Multilayer optically opaque systems • Optically semitransparent systems • Determination of thermal parameters • Determination of recombination parameters • Air-tightness measurements of packagings
Introduction • Photoacoustics uses frequency amplitude and phase characteristics of the FA signal for determination of several parameters of samples such as: • thermal diffusivity and effusivity of the material, • thickness of thin films, • detection of delaminations or voids in layer systems, • determination of recombination parameters of carriers, • air-tightness of packagings and others. • This presentation is limited to the analysis of frequency domain FA characteristics measured with a microphone or piezoelectric methods
Photoacoustic signals • Microphone detection • Piezoelectric detection
Multilayer optically opaque systems • Theoretical frequency domain dependencies of a phase of a photoacoustic signal for a transistor structure of a thickness l1=230 m, a lead frame of the thickness l3=350 m for different values of air delaminations: 1– 0.025 m, 2– 0.05 m, 3– 0.075 m, 4– 0.1 m, 5– 0.15 m, 6– 0.2 m.
Multilayer optically opaque systems • Correlation of the phase of the PA signal and the force of detachment of the transistor structure from a lead frame. Solid line is a theoretical curve, circles are experimental points, BC 237 transistor structures • Phase(S) = (180/)arg (S1( d2 = 0m)p + S2(d2 = 0.1 m)(1-p)) • Force necessary for detachment is proportional to the parameter p
Multilayer optically opaque systems • Frequency characteristics of water on an aluminum plate of the thickness 40 m. Description: line 1 – R = 1(air), line 2 – R = 0.905 (water), line 3 – R = 0.75, circles and boxes are experimental results. • Frequency characteristics of ethanol on an aluminum plate of the thickness 40 m. Description: line 1 – R = 1 (air), line 2 – R = 0.95 (ethanol), line 3 – R = 0.75, circles and boxes are experimental results.
Optically semitransparent systems • Schematic diagram of a thin semitransparent layer on the semitransparent backing • Application – characterization of thin semiconductor films on semiconductor thick substrates
0.4 40 0.3 60 AMPLITUDE [a.u] PHASE [degs] 0.2 80 0.1 100 0 100 200 300 400 500 100 200 300 400 500 FREQUENCY [Hz} FREQUENCY [Hz] Optically semitransparent systems • Amplitude and phase photoacoustic frequency characteristics of a l1= 10 m thick layer on the thick substrate. Parameters taken for computations: 1=0 cm-1 , 2=10000 cm-1 (solid line), 1=104 cm-1, 2=103 cm-1 ( dash line), 1=0.3 cm2/s, 2=0.9 cm2/s, GaAs/Si
Optically semitransparent systems • Application of the frequency characteristics for detection of the thickness SCL in semiconductors • Comparison of the amplitude spectra and frequency characteristics • SCL- is the subsurface layer of the semiconductor where light is absorbed but does not give the contribution to the FA signal
Optically semitransparent systems • Theoretical characteristics presenting the predicted influence of a SCL on the photoacoustic amplitude and phase characteristics in the front configuration. Parameters: =0.01 cm2/s, thickness of the layer l1=5 m – dash line, l1=10 m – dotted line, l1=15 m – solid line, 1=0 cm-1, 2=1000 cm-1, R12=0.
Optically semitransparent systems • The phase frequency characteristics of the PS/Si structure in the reflection configuration. Diamonds and circles are for exc=514 nm and exc=670 nm. Parameters of PS layer=0.016cm2/s, kc=0.0042 cal(cmKs)-1, 1(514nm)=1900 cm-1, 1(670nm)=903 cm-1. • M.Maliński, L.Bychto, A.Patryn, J.Gibkes, B.K.Bein, J.Pelzl ‘Investigations of the optical and thermal parameters of porous silicon layers with the two wavelength photoacoustic method’ J.de Physique IV France (2005) accepted.
Determination of thermal parameters • ZnSe crystal l = 0.081 cm=0.01 cm2/s( solid line),= 0.05 cm2/s, 0.1 cm2/s, 0.2 cm2/s. • Zn0.83Be0.17Sel=0.1161 cm=0.05 cm2/s,=0.01 cm2/s, =0.1 cm2/s and = 0.2 cm2/s • M.Maliński, J.Zakrzewski ‘Advances in photoacoustics and photothermal spectroscopy of semiconductors’ OSA’ 04 Conference Sobieszewo Poland
Determination of thermal parameters • Si samplel=240m and =0.6 cm2/s. Description of lines: line 1 – R = 1, line 2 – R = 0.9, line 3 – R = 0.76, line 4 – R = 0.5. Circles and diamonds are experimental lines, lines are theoretical curves.
Determination of thermal parameters 100 80 60 THERMAL CONDUCTIVITY [W/mK] 40 • Dependance of the thermal conductivity of SiGe on the composition 20 0 0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1.0 CONCENTRATION of Si in SiGe
Determination of recombination parameters • Computations of Ge samples: = 0.4 cm2/s, l = 0.1 cm, = 2010-6 s, D = 44 cm2/s, V = 500 cm/s a) = 0.110-6 s and D = 22 cm2/s b).
3.5 100 3 50 2.5 AMPLITUDE RATIO [a.u.] PHASE SHIFT [degs] 2 0 1.5 1 50 0.5 3 . 3 . 10 100 1 10 10 100 1 10 FREQUENCY [Hz] FREQUENCY [Hz] Determination of recombination parameters • Si: =0.37 cm2/s, L=0.1 cm, E1=2.0 eV, E2=1.4 eV, Eg=1.1 eV, D=44 cm2/s, V=800 cm/s, = 100 s
Air-tightness measurements • Parameters taken for computation: = 1710-6 [Ns/m2], L = 6-4 [m], M = 2810-3 [kg/mole], V2 = 2.1610-6 [m3], V2/V1 = 3.19, r = 20 m...60 m, = 1.3 [kg/m3], Na = 610-23 [mole-1], T = 300 K, k = 1.3810-23 [J/K].
Air-tightness measurements • 1) r = 108m; 2) r = 91m;3) r = 78m; 4) r = 69m; 5) r = 42m;6) r =24m; • 1) r = 115m; 2) r = 86m;3) r = 83m; 4) r = 71m;5) r = 50m;6) r = 24m; L.Majchrzak, M.Maliński ‘Analysis of a Thermoacoustic Approach for the Evaluation of Hermeticity of Packaging of Electronic Devices’ XXIV IMAPS Poland Conf2005
Air-tightness measurements - theory L.Bychto, M.Maliński ‘Determination of air-tightness of the packagings’ submited to AAuA 2005
Air-tightness measurements • Silicon layer: d1=0.08[cm], 1=1.2[W/cmK],=0.6[cm2/s] • Substrate (copper): d2=0.2[cm], 2=3.9[W/cmK],=1.1[cm2/s] • Radius of holes: 1- 50m, 2- 30m, 3- 10m, 4- 5m, 5- 1m
Conclusions • Frequency FA characteristics are a useful tool bringing information about: • Multilayer optically opaque systems • Optically semitransparent systems • Thermal parameters • Recombination parameters of carriers • Air-tightness of packagings