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A review paper claims that SHG can take place in biological samples, that is when the endogenous molecules assemble themselves reasonably in order, such as collagen fibril in connective tissues. I wonder if there is a reason why a degree of order is necessary for SHG to take place, besides the requirement of non-centrosymmetry.

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A degree of order is required so that the polarisation elements (the spatially localised sources for the SHG) can coherently add to form a propagating wave.

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