文摘
The RGB Bayer filter system consists of a mosaic of hmlsrc">hImg" data-mathURL="/science?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S0273117715005694&_mathId=si1.gif&_user=111111111&_pii=S0273117715005694&_rdoc=1&_issn=02731177&md5=9eb118f87958b26169b9e262466c9acc" title="Click to view the MathML source">R,GhContainer hidden">hCode">h altimg="si1.gif" overflow="scroll">R,Gh>, and B filters on the grid of the photo sensors which typical commercial DSLR (Digital Single Lens Reflex) cameras and CCD cameras are equipped with. Lot of unique astronomical data obtained using an RGB Bayer filter system are available, including transient objects, e.g. supernovae, variable stars, and solar system bodies. The utilization of such data in scientific research requires that reliable photometric transformation methods are available between the systems. In this work, we develop a series of equations to convert the observed magnitudes in the RGB Bayer filter system (hmlsrc">hImg" data-mathURL="/science?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S0273117715005694&_mathId=si52.gif&_user=111111111&_pii=S0273117715005694&_rdoc=1&_issn=02731177&md5=95549073114da2d5cf528148f02a2ca4" title="Click to view the MathML source">RB,GBhContainer hidden">hCode">h altimg="si52.gif" overflow="scroll">RB,GBh>, and hmlsrc">hImg" data-mathURL="/science?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S0273117715005694&_mathId=si53.gif&_user=111111111&_pii=S0273117715005694&_rdoc=1&_issn=02731177&md5=ea394f9c11bc63e254b015dea8365c27" title="Click to view the MathML source">BBhContainer hidden">hCode">h altimg="si53.gif" overflow="scroll">BBh>) into the Johnson–Cousins BVR filter system (hmlsrc">hImg" data-mathURL="/science?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S0273117715005694&_mathId=si2.gif&_user=111111111&_pii=S0273117715005694&_rdoc=1&_issn=02731177&md5=5e25e544131beba5392a80281e232944" title="Click to view the MathML source">BJ,VJhContainer hidden">hCode">h altimg="si2.gif" overflow="scroll">BJ,VJh>, and hmlsrc">hImg" data-mathURL="/science?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S0273117715005694&_mathId=si3.gif&_user=111111111&_pii=S0273117715005694&_rdoc=1&_issn=02731177&md5=1239fb92e4c6ab28b6a245a3f8d25200" title="Click to view the MathML source">RChContainer hidden">hCode">h altimg="si3.gif" overflow="scroll">RCh>). The new transformation equations derive the calculated magnitudes in the Johnson–Cousins filters (hmlsrc">hImg" data-mathURL="/science?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S0273117715005694&_mathId=si56.gif&_user=111111111&_pii=S0273117715005694&_rdoc=1&_issn=02731177&md5=ae374cf1106b74fda6f451f7706550a4" title="Click to view the MathML source">BJcal,VJcalhContainer hidden">hCode">h altimg="si56.gif" overflow="scroll">Bhvariant="italic">Jcal,Vhvariant="italic">Jcalh>, and hmlsrc">hImg" data-mathURL="/science?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S0273117715005694&_mathId=si57.gif&_user=111111111&_pii=S0273117715005694&_rdoc=1&_issn=02731177&md5=0c6c40cd958b47a6fd30bda2c9bb5410" title="Click to view the MathML source">RCcalhContainer hidden">hCode">h altimg="si57.gif" overflow="scroll">Rhvariant="italic">Ccalh>) as functions of RGB magnitudes and colors. The mean differences between the transformed magnitudes and original magnitudes, i.e. the residuals, are hmlsrc">hImg" data-mathURL="/science?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S0273117715005694&_mathId=si58.gif&_user=111111111&_pii=S0273117715005694&_rdoc=1&_issn=02731177&md5=01c3d48c318dbaa65d0848673e046d13" title="Click to view the MathML source">Δ(BJ-BJcal)=0.064hContainer hidden">hCode">h altimg="si58.gif" overflow="scroll">hvariant="normal">Δhy="false">(BJ-Bhvariant="italic">Jcalhy="false">)=0.064h> mag, hmlsrc">hImg" data-mathURL="/science?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S0273117715005694&_mathId=si59.gif&_user=111111111&_pii=S0273117715005694&_rdoc=1&_issn=02731177&md5=2b6c58898cc2f36f08866acef08d4d6f" title="Click to view the MathML source">Δ(VJ-VJcal)=0.041hContainer hidden">hCode">h altimg="si59.gif" overflow="scroll">hvariant="normal">Δhy="false">(VJ-Vhvariant="italic">Jcalhy="false">)=0.041h> mag, and hmlsrc">hImg" data-mathURL="/science?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S0273117715005694&_mathId=si60.gif&_user=111111111&_pii=S0273117715005694&_rdoc=1&_issn=02731177&md5=cdffe2575ccb9debcbb1f1536225d442" title="Click to view the MathML source">Δ(RC-RCcal)=0.039hContainer hidden">hCode">h altimg="si60.gif" overflow="scroll">hvariant="normal">Δhy="false">(RC-Rhvariant="italic">Ccalhy="false">)=0.039h> mag. The calculated Johnson–Cousins magnitudes from the transformation equations show a good linear correlation with the observed Johnson–Cousins magnitudes.