Invariant-imbedding T-matrix method

Verification of the physical optics approximation for the calculation of the light scattering matrixes on polyhedral Platonic bodies

“…Figure 2 shows a comparison of two elements of the scattering matrix for randomly oriented Platonic solids 23 calculated by the following methods: Invariant imbedding T-matrix method [24][25][26] (IITM), Physical geometric optics method 7,8 (PGOM), as well as in the physical optics approximation 1,2 (PO), developed at the Institute of Atmospheric Optics SB RAS. The calculation results showed good agreement between the methods.…”

Simulations of Halos Produced by Carbon Dioxide Ice Crystals in the Martian Atmosphere

“…(2011) and Sun et al. (2017) and the invariant imbedding T‐matrix method (IITM) (Bi & Yang, 2014; Johnson, 1988; Sun et al., 2020; Yang et al., 2019) to simulate the scattering phase matrix of CO 2 ice crystals. The IITM is a numerically exact method for small‐to‐moderate particle sizes, while PGOM is for moderate‐to‐large particle sizes.…”

“…We use a synergistic combination (Yang et al, 2019) of the physical geometric optics method (PGOM) pioneered by Liou (1996, 1997) and further improved by Bi et al (2011) and Sun et al (2017) and the invariant imbedding T-matrix method (IITM) (Bi & Yang, 2014;Johnson, 1988;Sun et al, 2020;Yang et al, 2019) to simulate the scattering phase matrix of CO 2 ice crystals. The IITM is a numerically exact method for small-to-moderate particle sizes, while PGOM is for moderate-to-large particle sizes.…”

Light backscattering matrix for atmospheric crystals of an irregular shape with different refractive indices within the physical optics approximation

“…This data is convenient to collect in the light backscattering matrix. The elements of this matrix are calculated by numerical methods that are divided into exact (such as DDA [20][21][22][23] or IITM [24][25][26][27] ) and approximate (Ray-Tracing 28 ). Exact methods give a smaller error but they spend considerable time on high load calculations.…”