Bash script to String concat two variables and do File compare - bash

Question

what I am trying to achieve is, to delete same filenames(filename+modfiedtimestamp)exisitng in Src_Dir1 and Src_Dir2
So first i have tried to deploy all the filenames to tempa(Src_Dir1) and tempb(Src_Dir2) respectively.
Below is the screenshot of the source directory.
Files inside archive be like this and few files outside too..
So, initially I am want to deal with the files inside Archive(SRC_Dir1) and later outside Archive(SRC_Dir2) what I am trying to do is to use a while loop to read each and every filename and string concat with the modified timestamp(mtime) and input to tempc(like for example it should be like AirTimeActs_2018-12-03.csv+2019-01-24 14:41:53.000000000 -0500 = AirTimeActs_2018-12-03.csv_2019-01-24 14:41:53.000000000 -0500 this is how it should be generating into tempc file for each and every filename inside Archive(SRC_Dir1). This is where I am stuck under string concat variable section on how to proceed. Please help me with the code, hope I am comprehensible.
IMPORTANT
(Really appreciate it, if you help me out with the extension of the code which i haven't mentioned here and yet to achieve which is - >
Have to implement the same code(which I am trying to do for tempa, I'd like to do it for tempb too and name it as tempd) and then do a file data compare between tempc and tempd) if there is any kind of same data filename, then delete the file existing in Src_Dir2, if there is no same data filename, then do nothing.)
#!/bin/bash
Src_Dir1=path/Airtime_Activation/Archive
Src_Dir2=path/Airtime_Activation/
find "$Src_Dir1" -maxdepth 1 -name "*.xlsx" -o -name "*.csv" | sed "s/.*\///" > -print>path/Airtime_Activation/temp_a
find "$Src_Dir2" -maxdepth 1 -name "*.xlsx" -o -name "*.csv" | sed "s/.*\///" > -print>path/Airtime_Activation/temp_b
echo 'phase1'
cat path/Airtime_Activation/temp_a | while read file;
do
echo 'phase1.5'
echo "$file"
echo 'phase2'
mtime=$(stat -c '%y' $file)
Full_name=${file}_${mtime}
echo "$Full_name" >> path/Airtime_Activation/temp_c
echo 'phase3'
done

Answer 1

#!/bin/bash
Src_Dir1=path/Airtime_Activation/Archive
Src_Dir2=path/Airtime_Activation/
find "$Src_Dir1" -maxdepth 1 -name "*.xlsx" -o -name "*.csv" | sed "s/.*\///" > -print>path/Airtime_Activation/temp_a
find "$Src_Dir2" -maxdepth 1 -name "*.xlsx" -o -name "*.csv" | sed "s/.*\///" > -print>path/Airtime_Activation/temp_b
echo 'phase1'
cat path/Airtime_Activation/temp_a | while read file;
do
echo 'phase1.5'
echo "$file"
echo 'phase2'
mtime=$(stat -c '%y' $file)
Full_name=${file}_${mtime}
echo "$Full_name" >> path/Airtime_Activation/temp_c
echo 'phase3'
done
cat /path/Airtime_Activation/temp_b | while read file
#while IFS="" read -r -d $'\0' file;
do
#echo "$file"
echo 'phase2'
mtime=$(stat -c '%y' $Src_Dir2/$file)
Full_name=${file}_${mtime}
echo "$Full_name" >> path/temp_d
echo 'phase3'
done
#file compare and delete old files from outisde archive
grep -Ff temp_d temp_c > path/Airtime_Activation/temp_e
cat path/Airtime_Activation/temp_e | while read file
#while IFS="" read -r -d $'\0' file;
do
#echo "$file"
echo 'phase2'
echo "${file%_*}"
rm $Src_Dir2/${file%_*}
echo 'phase3'
done