How to join two sheets based on calculated fields?

I am new to Tableau and I find it diffcult to get the joined table based on two caculated fields.

Four fields in table A and table B are calculated fields obtained from the fields in one table in the data source. I want to get the “count table” in picture 2, which is joint by yearA in tableA == yearB in tableB. 

I have tried two methods:

1. create caculated fields in data source, but some calculated fields do not appear after I create it
2. drag four fields yearA, countA, yearB, countB together in one sheet, but I cannot get one(yearA)-to-all(yearB) relationship (picture 1)since some entries do not appear in the table in the data source. (For example, the entry “yearA=2022 and yearB=2022” do not appear in the original table)