Abstract. An analytic transfer inverse model for Earth Polychromatic Imaging Camera
(EPIC) observations is proposed to retrieve the cloud-top pressure (CTP) with the
consideration of in-cloud photon penetration. In this model, an analytic equation
was developed to represent the reflection at the top of the atmosphere from above cloud, in cloud, and below cloud. The coefficients of this analytic equation
can be derived from a series of EPIC simulations under different atmospheric
conditions using a nonlinear regression algorithm. With estimated cloud
pressure thickness, the CTP can be retrieved from EPIC observation data by
solving the analytic equation. To simulate the EPIC measurements, a program
package using the double-k approach was developed. Compared to line-by-line
calculation, this approach can calculate high-accuracy results with a
100-fold computation time reduction. During the retrieval processes,
two kinds of retrieval results, i.e., baseline CTP and retrieved CTP, are
provided. The baseline CTP is derived without considering in-cloud photon
penetration, and the retrieved CTP is derived by solving the analytic
equation, taking into consideration in-cloud and below-cloud
interactions. The retrieved CTPs for the oxygen A and B bands are smaller
than their related baseline CTP. At the same time, both baseline CTP and
retrieved CTP at the oxygen B band are larger than those at the oxygen
A band. Compared to the difference in baseline CTP between the B band and
A band, the difference in retrieved CTP between these two bands is generally
reduced. Out of around 10 000 cases, in retrieved CTP between the A and B bands
we found an average bias of 93 mb with a standard deviation of 81 mb. The
cloud layer top pressure from Cloud–Aerosol Lidar and Infrared Pathfinder
Satellite Observations (CALIPSO) measurements is used for validation.
Under single-layer cloud situations, the retrieved CTPs for the oxygen
A band agree well with the CTPs from CALIPSO, the mean difference of which
within 5 mb in the case study. Under multiple-layer cloud situations, the
CTPs derived from EPIC measurements may be larger than the CTPs of high-level thin clouds due to the effect of photon penetration.