Theoretical algorithm and application of a double-integrating sphere system for measuring leaf transmittance and reflectance spectra

Matti Mõttus, Aarne Hovi, Miina Rautiainen

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    8 Citations (Scopus)


    We present the theoretical background and analytical equations for calculating spectral reflectance and transmittance factors for plant leaves from data collected by a field spectroradiometer attached to a double-integrating sphere. The sphere constants required for the calculations are derived from measurements of an empty sample port and a diffuse reflectance panel. The new method is applied in measuring the spectra of leaves belonging to 13 tree species. The greatest advantages of a double-sphere system compared with the conventional single-sphere substitution method is the speed of measurements, ease of operation, and increased portability and field-ruggedness.
    Original languageEnglish
    Pages (from-to)563-571
    Number of pages9
    JournalApplied Optics
    Issue number3
    Publication statusPublished - 20 Jan 2017
    MoE publication typeA1 Journal article-refereed



    • plants (botany)
    • reflection
    • analytical equations
    • diffuse reflectance
    • integrating spheres
    • spectral reflectances
    • spectro-radiometers
    • substitution method
    • theoretical algorithms
    • transmittance and reflectances

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