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Pyroelectricity
ability of a material to generate a charge when uniformly heated; all ferroelectrics are pyroelectrics (ferro can switch while pyro can’t)
(piezoelectrics can generate charge when non-uniformly heated due to thermal stresses)
Equation for the dielectric displacement
D = ε_0E + P_tot; P_tot = P_s + P_ind; P_ind = χ ε_0 Ε, ε_r = 1 + χ
General pyroelectric coefficient
p_g = p + E dε/dT
Define the change in polarisation
ΔP_i = p_gΔ
Why are second order transitions preferred for IR sensor application
Ps changes rapidly around phase transition which gives a large pyroelectric coeff; second order tranistions have no thermal hysterisis so produce the same change whether heating up or cooling down, the properties change predictable and continuously which enables a more reproducible response required in sensors
Voltage responsivity
v_r = pη/C_pAεω, η=fraction of incident energy absorbed, C_p=specific heat capacity, A=area, ω=frequency radiation is physically pulsed at (with chopper fan)
Why is the radiation physically pulsed with a chopper fan
continuous radiation won’t produce a response since only ΔT is measured
Figure of merit
F_V = p/C_p ε or F_D = p/ (C_P sqrt(εtanδ))
What is PZFNTU and why is it used
based on lead zirconate (naturally antiferroelectric), add Pb(FeNb)O3 converts it to a low permittivity (increases voltage in pyro) ferroelectric; had a phase transition at 40C making p unstable; adding PbTiO3 shifted it to 100C (outside device operating temp); Uranium used to control electrical resistance and further reduces permittivity; preferred as it is cheap and easy to manufacture
Bulk applications of pyroelectrics
charge easily transformed into a signal for sensing; imaging is harder: need thermally isolated array of pyro disks which can individually detect a ΔT and behave as pixels
How does F_D compare in thin materials vs bulk
much smaller in thin film than same material in bulk; films are mechanically clamped by substrate which limits small changes in dimensions thereby limiting changes in polarisation; films may not grow in direction that optimises pyroelectric coeff
Microstructural effects in pyroelectrics
porous can be superior as decreases permittivity with little affect on pyroelectric coeff therefore optimising F_D; but very hard to do all the processing required for flipchips with a porous structure
Thin film pyroelectrics
very fragile and air was not a good enough thermal insulator so never commercialised (bulk prevailed); also due to substrate clamping