Fig.1

Photon transmission process of aero-optical effects from microscopic angle

Fig.2

Energy level transition caused by photon absorption

Fig.3

Vector relation of photon local coordinate system

Fig.4

Physical structure and size of high-speed aircraft

Fig.5

Grid distribution near aircraft and optical window

Fig.6

Velocity distribution of aircraft outflow field

Fig.7

Density distribution of flow field above noptical window

Fig.8

Turbulence structures of different scales under Q criterion

Fig.9

Schematic diagram of large-scale turbulence structure and photon energy distribution

Fig.10

Schematic diagram of meso-scale turbulence structure and photon energy distribution

Fig.11

Schematic diagram of small-scale turbulence structure and photon energy distribution

Table 1

Photon evaluation function value with different scale vortex structures

Fig.12

Comparison of micro-statistical photon field intensity and average PSF

Fig.13

Micro statistical photon field intensity distribution

Fig.14

Light intensity distribution of traditional macro PSF

Fig.15

Comparison between photon statistical average PS-OPD and macroscopic average OPD

Fig.16

OPD distribution of traditional geometric optics

Fig.17

PS-OPD distribution of microscopic photon statistical optical path difference

Fig.18

Comparison between microscopic photon statistical average PDA and macroscopic LOA

Fig.19

Time-varying error of aero-optical effect based on energy analysis

Fig.20

Comparison of results from different analysis methods